Abstract:
Systems, devices, and methods for a one-time disposable device arrangement for dispersing liquids of varying viscosities, or their constituents, in a metered manner over a definable period of time. The invention employs a flexible reservoir, of varying size, shape, and configuration, along with a calculated, finite length of looped flexible tubing, one of varying size, shape and configuration. The device arrangement can be hung over an area where it is desired to attract animals such as deer by dispensing liquids, such as but not limited to animal attractants, such as deer urine and buck jam, and the like.

Description:
FIELD OF INVENTION 
     The present invention relates to the field of hunting game animals, specifically, to devices, apparatus, systems and methods for delivering a timed release of animal attractant scented liquids in the wild using a dispensing bag with a tube that continuously siphons the liquids from the bag in a calculable, timed release manner. 
     BACKGROUND AND PRIOR ART 
     Game animals, particularly those hunted for food and/or sport, such as but not limited to deer, are attracted by scents varying from those of other animals and odorous attractant scents such as those of food. It is these scents which hunters use to pull animals closer for harvest opportunities. 
     During mating seasons, male animals, as part of the mating ritual, attempt to attract females by “scraping” the ground, using their hoofs, at desirable locations and urinating in the scrape in an attempt to attract females. The females in turn, when attracted, deposit a female hormone in the “scrape” which is highly attractant to males. Hunters, in an attempt to mimic these attractants, have developed commercially available “attractant scents” which substantially duplicate the male and female mating scents. 
     Those who wish to examine animals at close range, such as hunters, routinely manually disperse such scents on the ground in an attempt to attract their quarry. 
     In some cases, hunters prepare the ground, by making a mock scrape using various implements, to simulate a deer “scrape” before dispensing attractant scent liquid into the scrape. However, humans entering these sensitive areas can disturb the animals, in ways known only to animals. In many cases, these trespasses into an animal&#39;s area provide persistent unseen warnings which tend to keep the desired animal from approaching. 
     Various devices have been developed over the years which attempt to continuously or periodically deliver portions of scented liquids to the desired spot without human interaction. The present invention provides significant improvements over the prior system as described below. 
     U.S. Pat. Nos. 5,279,062; 5,361,527 and 5,220,741 all to Burgeson describe devices for dispensing a scented liquid (scent) onto the ground. The device employs a rigid camouflaged scent container having a cap with an exterior nozzle tube which may be straight or bent through 180 degrees into a J shape or through 360 degrees into a circular shape. The container is suspended over the ground and is partially filled with the scented liquid. As the air in the space over the liquid expands during the day it pushes out a volume of scented liquid. However, these devices have several problems. 
     The Burgeson patents suffer from the defects that the scent container can be only partly filled. Also it must be clear that the amount of liquid scent delivered depends on the unfilled volume within the container. When the container is more filled, the air volume remaining is less. Thus, less liquid scent can be delivered for a given temperature change. Principle operations of these devices are dependent on temperature changes. 
     Additionally, the Burgeson devices require a rigid container must be used, when the container is filled, it has a large mass and must respond more slowly to any temperature change. By contrast, when the container is nearly empty, there is a large gas volume within the container which will cause a larger amount of liquid scent to be delivered for a given temperature change. Further, when the container is nearly empty, the small mass of liquid heats easily, thereby causing a widely varying rate and quantity of liquid scent to be delivered, depending on the fraction of the bottle which is filled. 
     Furthermore, the containers in the Burgeson patents must be made of some rigid material such as glass. Such a container is easily susceptible to being broken, should the container fall from the tree or support where it is suspended. Additionally, if the container is made of rigid plastic, the container can crack over time with constant exposure to sunlight or other environment factors, such as, heat, cold, or changes in temperature over time. 
     U.S. Pat. No. 8,510,984 to Burgeson describes a temperature regulated, pressure activated liquid scent dispenser. The pressure in the interior of the container increases as ambient temperature increases. A release structure of the container will release a portion of the liquid scent once a threshold pressure or threshold amount of pressure build-up is reached in the interior of the container. 
     This device requires filling the interior volume with a liquid scent so that the interior volume also includes a volume of air, suspending the dispenser over a ground surface, and dispensing the liquid scent from the interior volume through the release structure. Due to an increase of pressure of the volume of air, and upon reaching a threshold air pressure, the release structure releases a portion of the liquid scent from the interior volume. 
     Similar to the other Burgeson Patents: U.S. Pat. Nos. 5,279,062; 5,361,527 and 5,220,741 these devices provide for liquid delivery dependent on temperatures changes to shift atmospheric pressure inside the rigid vessels in order to drive the liquid dispersal. 
     U.S. Pat. No. 8,739,455 to Burgeson describes a temperature regulated, pressure activated liquid scent dispenser. The pressure in the interior of the container can increase as ambient temperature increases. A release structure of the container releases a portion of the liquid scent once a threshold pressure or threshold amount of pressure build-up is reached in the interior of the container. 
     The Burgeson &#39;455 patent device provides for filling the interior volume with a liquid scent so that the interior volume also includes a volume of air, suspending the dispenser over a ground surface, and dispensing the liquid scent from the interior volume through the release structure. Due to an increase of pressure of the volume of air, and upon reaching a threshold air pressure, the release structure releases a portion of the liquid scent from the interior volume. 
     Similar to the previously referenced Burgeson, this device includes a, pressure interior to the vessel that is dependent on ambient temperature variations to create internal vessel pressure to drive the liquid delivery system. 
     U.S. Pat. No. 5,971,208 to Kennedy describes a device for delivering an animal attractant scented liquid employing a flexible walled container with an external gas filled balloon strapped to the container so positioned that expansion and contraction of the gas within the balloon, in response to temperature changes, causes the wall of the container to flex so as to discharge liquid from the container when the temperature rises, and cease discharging on a temperature drop. 
     Similar to the other prior art is in its use of atmospheric pressure and temperature changes to expand the gas inside the dispersal drive mechanism. Here, the Kennedy &#39;208 patent uses externally mounted balloons. 
     U.S. Published Patent Application. 20080054021A1 to Brown et al. describes a product directed at the deer hunting market for scent application and dispersal that uses a molded, rigid container capable of being filled with liquid scent and then dispensed in a multiple ways, including a flip top cap for direct placement of its contents to a variety of specific areas, using scent wicks, cotton balls, etc. to establish scent stations (dipping these into open liquid reservoir). Similar to the other prior art, Brown &#39;402 relies on temperature changes to drive fluid dispersal. 
     Thus, the need exists for solutions to the above problems with the prior art that does not require head space nor temperature changes to drive animal attractant liquid therefrom. 
     SUMMARY OF THE INVENTION 
     A primary objective of the present invention is to provide devices, apparatus, systems and methods for delivering a timed release of animal attractant scented liquids in the wild without the need for head space nor temperature changes to drive and transport the liquid for metered and predictable delivery. 
     A secondary objective of the present invention is to provide devices, apparatus, systems and methods for delivering a timed release of animal attractant scented liquids in the wild that utilizes a tube and fitment assembly as a simple flow regulator with siphon and capillary action fluid drivers unlike any previous inventions. 
     A third objective of the present invention is to provide for one-time disposable devices, apparatus, systems and methods for dispersing liquids of varying viscosities, or their constituents, in a metered manner over a definable period of time. 
     A fourth objective of the present invention is to provide for devices, apparatus, systems and methods that include a flexible reservoir, of varying size, shape, and configuration, along with a calculated, finite length of looped flexible tubing, one of varying size, shape and configuration to dispensing animal attractant liquids. 
     The invention allows for a one-time use, disposable device configured with a flexible, varying geometry of contiguous tubing and fitment create three (3) basic physical effects. These include, 1) a restriction to flow; 2) siphon(ing) action; and 3) capillary actions. 
     These three (3) physical effects create a small, linear fluid flow rate that is non-thermally dependent while allow draining all the fluid from the bag regardless of the amount of viscous commodity in the bag (reservoir) while providing for a mathematically calculable drip rate 3 . 
     The degree of restriction to fluid flow (non-thermally dependent) is directly dependent on the hydraulic diameter of the tube, the length of the tube and the physical properties of the fluid constituent(s). All of these properties are manipulated, through mathematical model, to account for various viscosities and differing (dynamic) volumes of liquid creating different head pressures. 
     The capillary and siphon effects initiate fluid flow once the fitment cap is removed, and assist in supporting fluid flow once sufficient head pressure can no longer overcome the flow restriction in the tube and drive fluid through the tubing. 
     The flexible bag is driven to flow by the gravitational effects on the fluid (head pressure and the siphon effect), atmospheric pressure (forces on the flexible bag, unlike rigid containers, which contribute to the head pressure) and slowed only by the restriction to flow in the tubing. 
     The flexible nature of both the bag and the looped tubing allow the contents of the bag to empty to a level adjacent to the lowest level of the flexible tubing inside of the bag. Unlike previous inventions which drained fluid levels are dependent solely on available head pressure. 
     Further objects and advantages of this invention will be apparent from the following detailed description of the presently preferred embodiments which are illustrated schematically in the accompanying drawings. 
    
    
     
       BRIEF DESCRIPTION OF THE FIGURES 
         FIG. 1  is a front right perspective view of a drip bag, tube and fitment assembly of the invention. 
         FIG. 2  is a front view of the drip bag, tube and fitment assembly of  FIG. 1 . 
         FIG. 3  is a side view of the drip bag, tube and fitment assembly of  FIG. 2  along arrow  2 X. 
         FIG. 4  is an enlarged bottom view of the drip bag, tube and fitment assembly of  FIG. 3  along arrow  4 X. 
         FIG. 5  is another side view of the drip bag, tube and fitment assembly of  FIG. 3 . 
         FIG. 6  is a cross-sectional view of the drip bag, tube and fitment assembly of  FIG. 5  along arrows  6 A. 
         FIG. 7  is an enlarged lower front right perspective view of the dispensing portion  7 B of the drip bag, tube and fitment assembly of  FIG. 6 . 
         FIG. 8  is an enlarged perspective view of the fitment used in the drip bag, tube and filament assembly of  FIG. 1 . 
         FIG. 9  is a bottom view of the fitment of  FIG. 8 . 
         FIG. 10  is a front view of the fitment of  FIG. 8 . 
         FIG. 11  is a side view of the fitment of  FIG. 10  along arrow  11 X. 
         FIG. 12  is another side view of the fitment of  FIG. 11 . 
         FIG. 13  is a cross-sectional view of the fitment of  FIG. 12  along arrows  13 C. 
         FIG. 14  is an enlarged view of the cap used with the fitment in  FIGS. 1-7 . 
         FIG. 15  is a top view of the cap of  FIG. 14  along arrow  15 X. 
         FIG. 16  is a cross-sectional view of the cap of  FIG. 14  along arrows  16 D. 
         FIG. 17A  is a side view of the tube used in the drop bag, tube and filament assembly of  FIGS. 1-7 . 
         FIG. 17B  is an enlarged view of the end of the tube of  FIG. 17A  along arrow  17 X. 
         FIG. 18  is a graph of the change in viscosity effects on drain time. 
         FIG. 19  is a graph showing the effects of change in tube length. 
         FIG. 20  is a graph showing the effects of change in hydraulic diameter. 
         FIG. 21  is a graph showing the experiment verses model projections. 
     
    
    
     DESCRIPTION OF THE PREFERRED EMBODIMENTS 
     Before explaining the disclosed embodiments of the present invention in detail it is to be understood that the invention is not limited in its applications to the details of the particular arrangements shown since the invention is capable of other embodiments. Also, the terminology used herein is for the purpose of description and not of limitation. 
     In the Summary above and in the Detailed Description of Preferred Embodiments and in the accompanying drawings, reference is made to particular features (including method steps) of the invention. It is to be understood that the disclosure of the invention in this specification does not include all possible combinations of such particular features. For example, where a particular feature is disclosed in the context of a particular aspect or embodiment of the invention, that feature can also be used, to the extent possible, in combination with and/or in the context of other particular aspects and embodiments of the invention, and in the invention generally. 
     In this section, some embodiments of the invention will be described more fully with reference to the accompanying drawings, in which preferred embodiments of the invention are shown. This invention may, however, be embodied in many different forms and should not be construed as limited to the embodiments set forth herein. Rather, these embodiments are provided so that this disclosure will be thorough and complete, and will convey the scope of the invention to those skilled in the art. Like numbers refer to like elements throughout, and prime notation is used to indicate similar elements in alternative embodiments. 
     A list of components will now be described.
           1  bag, tube and fitment assembly     10  container (such as but not limited to a flexible bag, and the like)     11  hanging hole     12  top     14  mid-portion     16  lower dispensing end     18  insert opening for fitment     20  tube/tubing     22  input end     26  output end     30  cap for fitment     100  fitment     110  dispense nozzle     112  external threads     114  lower indentation     115  dispense nozzle through-hole     116  lower narrowing chamber     118  main channel     120  external stop ring     124  grip edges above stop ring     130  enlarged base (parallel ribs with triangular ends)     134  upper main channel     138  oblong upper entry to main channel     140  chimney for tube intake     144  narrowing main channel in chimney     146  tube stop       

       FIG. 1  is a front right perspective view of a drip bag, tube and fitment assembly  1  of the invention.  FIG. 2  is a front view of the drip bag, tube and fitment assembly  1  of  FIG. 1 .  FIG. 3  is a side view of the drip bag, tube and fitment assembly  1  of  FIG. 2  along arrow  2 X.  FIG. 4  is an enlarged bottom view of the drip bag, tube and fitment assembly  1  of  FIG. 3  along arrow  4 X.  FIG. 5  is another side view of the drip bag, tube, and fitment assembly  1  of  FIG. 3 .  FIG. 6  is a cross-sectional view of the drip bag, tube, and fitment assembly  1  of  FIG. 5  along arrows  6 A.  FIG. 7  is an enlarged lower front right perspective view of the dispensing portion  7 B of the drip bag, tube and fitment assembly  1  of  FIG. 6 . 
       FIG. 8  is an enlarged perspective view of the fitment  100  used in the drip bag assembly  1  of  FIG. 1 .  FIG. 9  is a bottom view of the fitment  100  of  FIG. 8 .  FIG. 10  is a front view of the fitment  100  of  FIG. 8 .  FIG. 11  is a side view of the fitment  100  of  FIG. 10  along arrow  11 X.  FIG. 12  is another side view of the fitment  100  of  FIG. 11 .  FIG. 13  is a cross-sectional view of the fitment  100  of  FIG. 12  along arrows  13 C. The fitment  100  can be formed from polyethylene, and the like. 
     Referring to  FIGS. 1-13 , the dispensing bag, tube and filament assembly  1  includes a bag  10  with a bottom end  16  having a fitment  100  with a cap. 
     Bag  10  can be a front panel and a back panel attached at their sides. The panels can be formed from three layers: PET ((polyethylene terephthalate), foil (aluminum) and LLDPE (Linear low-density polyethylene). Bag  10  can have a length between lower dispensing end  16  and top end  12  of approximately 8.00 inches and a width between top end  12  and mid-portion  14  of approximately 3.25 inches. The top end  12  can have a hanging hole  11  there through to allow for the bag to be hung while being used. 
     The top end of the bag  10  can remain open while the bag  10  is being filled, and closed thereafter. On the bottom end  16  of the bag  10 , the fitment  100  can be inserted into an opening  18 . 
     A flexible tube  20  can have an input end  22  inside the narrowing main channel  144  of a chimney  140  sitting on a tube stop  146 . The opposite end of tube  20  can pass through a oblong upper entry  138  into main channel  134  that passes through a main channel  118  into a lower narrowing channel  116  into a dispense nozzle  110  with tube output end  26  passing through a dispense nozzle through-hole  115  above a lower indentation  114 . A cap with internal threads can rotate about external threads  112  on dispense nozzle  110  up to stop ring  120 . 
     When assembling the fitment  100  grip edges  124  above the stop ring  120  can be gripped in one&#39;s hand so that enlarged base  130  which include parallel ribs with triangular ends can be inserted into the opening  18  in the bottom end  16  of the bag  10 . 
     During operation of the drip bag, tube and fitment assembly  1 , the upper end  12  can be filled with liquid up to a fill line, FL, which can be approximately 7.5 inches above lower dispensing end  16 , with a bending portion of the tube  20  above the fill line, FL. 
       FIG. 14  is an enlarged view of the cap  30  used with the fitment in  FIGS. 1-7 .  FIG. 15  is a top view of the cap  30  of  FIG. 14  along arrow  15 X.  FIG. 16  is a cross-sectional view of the cap  30  of  FIG. 14  along arrows  16 D which shows internal threads inside of the cap  30 . 
       FIG. 17A  is a side view of the tube  20  used in the drop bag assembly  1  of  FIGS. 1-7 .  FIG. 17B  is an enlarged view of the end  26  of the tube  20  of  FIG. 17  along arrow  17 X. 
     Tube  20  can have a length of approximately 15.00 inches, and have a tube sleeve thickness of approximately 0.06 inches and an internal opening of approximately 0.02 inches, and be formed from polyethylene, and the like. 
     Referring to  FIGS. 1-17B , the drip bag, tube and fitment assembly  1  can be basically a simple flow regulator with a siphon. The configuration of the tubing  20  and fitment  100  create two basic physical effects, a restriction to flow and a syphon. These two effects allow us create a very small, roughly linear flow rate while nearly draining all the fluid from the bag  10 . 
     The degree of restriction to flow is mainly dependent on the hydraulic diameter of the tube  20 , the length of the tube and the physical properties of the fluid. I can adjust the length and diameter of the tubing to account for various liquids having different viscosities and different volumes of liquid creating different head pressures. 
     During operation of the assembly  1 , the syphon effects are there to help start the flow once the cap  30  is removed, and help keep the flow going once the head pressure can no longer overcome the flow restriction in the tube  20  and drive fluid through the tubing  20 . 
     The bag  10  is driven to flow by the gravitational effects on the fluid (Head Pressure and the Syphon effect), atmospheric pressure (forces on the bag  10  that adds to the head pressure) and slowed only by the restriction to flow in the tubing  20 . 
     A preferred embodiment of forming the drip bag, tube and fitment assembly  1  will now be described using an approximately 3 oz bag  10 . 
     Referring to  FIGS. 1-17B , the drip bag, tube and fitment assembly  1  can include a tube  20  that can be hot glued (off the shelf hot melt glue sticks) into the inside oblong upper entry  138  of the main channel  134  in the fitment  100  ( FIG. 7 ). The output end  26  of the tube  20  can pass through the dispense nozzle through-hole  115  in the dispense nozzle  110  portion of the fitment  100 . The inlet (input end)  22  of the tube  20  can then be looped around and placed into a holder (chimney  140 ) with input end against tube stop  16 , which allows for fluid flow into the inlet end  22  of the tube  20  and creates the syphon effect, as the outlet end  26  of the tube  20  is lower in relation to the inlet end  22 . 
     The inlet end  22  of the tube  20  can be approximately ⅛″ from the lowest point inside the bag  10 , so as to drain as much fluid from the bag  20  as possible. It is also placed in the holder (chimney  140 ) in such a manner as to avoid clogging the inlet end  22  of the tube  20  with any sediment that might be present from the animal attractant liquid that can be placed in the bag, such as but not limited to deer urine. 
     The enlarged base  130  enlarged base (parallel ribs with triangular ends) can then fixed (welded or melted) to the inner most layer inside of the bag  10  and completes the bottom seal  16  of the spout bag  10 . The top  12  of the bag  10  can be left open (unsealed) to enable filling. The bag  10  can then be filled, using a gear type cold fluid pump, with a solution containing approximately 95% Water, 4% Deer Urine and 1% (by mass) of animal liquid attractants, in powder form. 
     The bag  10  can be filled with different animal attractant liquids such as those described in U.S. Pat. No. 8,623,346 to Kuhn et al., which is incorporated by reference in its&#39; entirety, which are marketed under GLO-COTE™. 
     This mixture can be pumped into the bag  10  with tube  20  and fitment  100  already fixed to the bag  10  in the amount of approximately 88.72 mL or approximately 3 fl oz. 
     The bag  10  can be sealed using a table top band sealer producing an approximately ⅜ inch seal just under the hang hole  11 . The filled and completely sealed drip bag  10  can then have a “Tin-Tie” (two wire twist tie) applied to the front right side seal of the bag  10 . This “Tin-Tie” can be placed there for hanging the bag  10  while it is dispensing. 
     The flow can be initiated one of two ways; either by simply hanging the bag  10  after removing the cap  30  where the flow will start on its&#39; own by the hydraulic head pressure at the fluid inlet end of the tube inside of the bag. Alternatively, the flow can be started by gently squeezing the bag  10  until the flow begins. The head pressure is sufficient to start the flow by itself. However depending on the state of the streamline in the tube  10  when opened could take an undetermined amount of time. 
     Holder (chimney)  140  and tube stop  146  is a vertical feature of the fitment which the inlet side of the tube  20  is placed and held for the use of the bag  10 . There is a slit (opening) along the long side of the holder (chimney)  140  that runs through the entire length of the holder  140  from the top of the holder to the upper (inside) base of the fitment  100 , including the tube stop  146 . The tube stop  146  is essentially a ledge (stop) located inside the Holder  140  which prevents the tube from being pushed down too far during assembly and assures the proper siphon length is achieved (the vertical distance difference between the inlet and the outlet of the tube  20 ). The width of the tube stop  146  is equal to no more than half the wall thickness of the tube so as not to impede fluid from flowing into the tube inlet. Because the slit (opening) in both holder  140  and the tube stop  146  runs the entire length of the vertical holder  140 , an inlet channel is created that is twice as wide as the hydraulic diameter of the tube  20  itself. 
     The tube  20  having an offset inlet  22  and outlet  26 , creates a siphon effect which will continue to act on the fluid streamline in the tube  20  until the bag  10  is fully drained. This continues despite the hydraulic head pressure being reduced as a result of the fluid being partially drained. 
     The flow can be stopped in a few different ways, aside from the bag  10  functioning properly and it completely draining. Generally, the flow will continue, under normal conditions, until the fluid level drops below the fluid outlet. Flow can also stop if the tube  10  gets clogged by sediment, ice crystals, a small piece of glue etc. it will stop flowing. 
     Another possibility is if the streamline gets broken after the head pressure decreases to the point where it can&#39;t overcome the friction of the tube  10 , should this happen the bag will stop flowing. For example, an air bubble could get pulled in the tube  10  and head pressure from the fluid can eventually push the bubble through the tube  10  to reestablish the streamline. 
     The current configuration of the assembly  1  having the novel bag  10  with fitment  100  in this example can dispense the urine and urine animal attractant solution at a rate approximately 0.246 mL/min, giving a target drain time of approximately 6 hours. This rate is calculated using a derived mathematical model based on the assumption of a laminar flow through the tube and the parameters listed below: 
     Dynamic Viscosity of the Fluid 
     Density of the Fluid 
     Ambient Temperature in which the bag will be used 
     Volume of the Fluid 
     Hydraulic Head of Fluid at the Tube Inlet 
     Atmospheric Pressure 
     Fluid Column Height in Filled Bag 
     Changes in Bag Shape as the Fluid Drains 
     Hydraulic Diameter of the Tube 
     Length of the Tube 
     Height of the Syphon 
     Acceleration of Gravity 
     This model allows for the prediction of a drain time for any fluid through a tube/fitment assembly configured in a similar manner. Given a fluid viscosity, ambient conditions and the bag geometry, the tube parameters can be adjusted to produce a desired flow rate. 
     The derived differential equation on which the model is based does not have a closed form solution and an approximation was produced iteratively. Given access to a computer algebra system, a numeric solution could be found. Derived equations are as follows: 
                 ⅆ   h       ⅆ   t       =     Differential   ⁢           ⁢   Change   ⁢           ⁢   in   ⁢           ⁢     h   ⁡     [   m   ]       ⁢           ⁢   per   ⁢           ⁢   Differential   ⁢           ⁢   Change   ⁢           ⁢   in   ⁢           ⁢     Time   ⁡     [   s   ]                         ⅆ   h       ⅆ   t       =     -         A   H       A   T       [         (         -   64     ⁢           ⁢   µL       2   ⁢     D   2         )     ±       [         (         -   64     ⁢           ⁢   µL       2   ⁢     D   2         )     2     -     2   ⁢     ρ   ⁡     [       P   atm     -     ρ   ⁢           ⁢   gh     +     ρ   ⁢           ⁢     g   ⁡     (     z   s     )           ]           ]       1   2         ρ     ]             
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                 = 
                 
                   D 
                   = 
                   
                     
                       Hydraulic 
                       ⁢ 
                       
                           
                       
                       ⁢ 
                       Diameter 
                       ⁢ 
                       
                           
                       
                       ⁢ 
                       of 
                       ⁢ 
                       
                           
                       
                       ⁢ 
                       
                         Tube 
                         ⁢ 
                         
                             
                         
                         [ 
                         
                           m 
                           2 
                         
                         ] 
                       
                       ⁢ 
                       
                         
 
                       
                       ⁢ 
                       μ 
                     
                     = 
                     
                       
                         Dynamic 
                         ⁢ 
                         
                             
                         
                         ⁢ 
                         
                           Viscosity 
                           ⁢ 
                           
                               
                           
                           [ 
                           
                             Pa 
                             · 
                             s 
                           
                           ] 
                         
                         ⁢ 
                         
                           
 
                         
                         ⁢ 
                         L 
                       
                       = 
                       
                         
                           Hydraulic 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           Length 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           of 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           
                             Tube 
                             ⁢ 
                             
                                 
                             
                             [ 
                             m 
                             ] 
                           
                           ⁢ 
                           
                             
 
                           
                           ⁢ 
                           ρ 
                         
                         = 
                         
                           
                             
                               Density 
                               ⁡ 
                               
                                 [ 
                                 
                                   kg 
                                   
                                     m 
                                     3 
                                   
                                 
                                 ] 
                               
                             
                             ⁢ 
                             
                               
 
                             
                             ⁢ 
                             h 
                           
                           = 
                           
                             
                               Height 
                               ⁢ 
                               
                                   
                               
                               ⁢ 
                               of 
                               ⁢ 
                               
                                   
                               
                               ⁢ 
                               Fluid 
                               ⁢ 
                               
                                   
                               
                               ⁢ 
                               
                                 Column 
                                 ⁢ 
                                 
                                     
                                 
                                 [ 
                                 m 
                                 ] 
                               
                               ⁢ 
                               
                                 
 
                               
                               ⁢ 
                               g 
                             
                             = 
                             
                               
                                 Acceleration 
                                 ⁢ 
                                 
                                     
                                 
                                 ⁢ 
                                 Due 
                                 ⁢ 
                                 
                                     
                                 
                                 ⁢ 
                                 to 
                                 ⁢ 
                                 
                                     
                                 
                                 ⁢ 
                                 
                                   Gravity 
                                   ⁢ 
                                   
                                       
                                   
                                   [ 
                                   
                                     m 
                                     
                                       s 
                                       2 
                                     
                                   
                                   ] 
                                 
                                 ⁢ 
                                 
                                   
 
                                 
                                 ⁢ 
                                 
                                   P 
                                   atm 
                                 
                               
                               = 
                               
                                 
                                   Atmospheric 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   
                                     Pressure 
                                     ⁢ 
                                     
                                         
                                     
                                     [ 
                                     Pa 
                                     ] 
                                   
                                   ⁢ 
                                   
                                     
 
                                   
                                   ⁢ 
                                   
                                     z 
                                     s 
                                   
                                 
                                 = 
                                 
                                   
                                     Siphon 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       Length 
                                       ⁢ 
                                       
                                           
                                       
                                       [ 
                                       m 
                                       ] 
                                     
                                     ⁢ 
                                     
                                       
 
                                     
                                     ⁢ 
                                     t 
                                   
                                   = 
                                   
                                     Time 
                                     ⁢ 
                                     
                                         
                                     
                                     [ 
                                     s 
                                     ] 
                                   
                                 
                               
                             
                           
                         
                       
                     
                   
                 
               
             
           
         
       
     
     There are four main parameters for drain time. 
     Dynamic “Shear” Viscosity (μ)
         Units in [Pa·s]       

     Length of the Tube (L)
         Unit in [m]       

     Hydraulic Diameter of the Tube (D)
         Units in [m]       

     Height of the Water Column in the Bag (H)
         Units in [m]       

     Viscosity is a measure of a fluid&#39;s resistance to physical deformation by mechanical stress. In other words, it is a numerical value which describes how “thick” the liquid is. As such, the more viscous the fluid, the more resistance the fluid will show to flow and the longer it will take for that fluid to drain from the bag through the tube/fitment assembly. 
     Table 1 shows how the change in temperature changes both the density and dynamic viscosity of water. 
     
       
         
               
               
               
             
               
               
               
             
           
               
                 TABLE 1 
               
               
                   
               
               
                 Temperature 
                 Dynamic Viscosity  
                   
               
               
                 (° C.) 
                 (μ) [Pa · s × 10 −3 ] 
                 Density (ρ) [kg/m 3 ] 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 0 
                 1.787 
                 999.8 
               
               
                 4 
                 1.519 
                 1000 
               
               
                 10 
                 1.307 
                 999.7 
               
               
                 20 
                 1.002 
                 998.2 
               
               
                 30 
                 0.798 
                 995.7 
               
               
                 40 
                 0.653 
                 992.2 
               
               
                 50 
                 0.547 
                 988.1 
               
               
                 60 
                 0.467 
                 983.2 
               
               
                 70 
                 0.404 
                 977.8 
               
               
                 80 
                 0.355 
                 971.8 
               
               
                 90 
                 0.315 
                 965.3 
               
               
                 100 
                 0.282 
                 958.4 
               
               
                   
               
             
          
         
       
     
       FIG. 18  is a graph of the change in viscosity effects on drain time. The graph shows that as the viscosity of the fluid increases so does the drain time when the other 3 parameters are held constant. This occurs because more hydraulic head pressure and syphon force is required to drive a more viscous fluid through the tube. 
     The tube length is essentially the distance the fluid must travel, from the inlet of the tube assembly to the exit. This distance is important due to the fact that as the length increases, so does the amount of friction the fluid have to overcome to travel through the tube to exit. The increased friction causes reduced drain times. 
       FIG. 19  is a graph showing the effects of change in tube length. The graph shows that as the tube length of the assembly increases so does the drain time when the other 3 parameters are held constant. This occurs because as the tube length increases so does the amount of friction the fluid has to overcome through the length of the tube. 
     The hydraulic diameter is essentially the diameter of the tube which fluid passes through. This diameter is important due to the fact that at a given head pressure flow can be varied by changing that diameter. The hydraulic diameter of the tube in the assembly is inversely proportional to the drain time. 
       FIG. 20  is a graph showing the effects of change in hydraulic diameter. The graph shows that as the hydraulic diameter of the tube in the assembly increases the drain time decreases when the other 3 parameters are held constant. This occurs due to the fact that as the hydraulic diameter of the tube increases, so does the cross-sectional area. The larger the cross-sectional area in a flow carrier, the greater capacity of flow the carrier will allow at a given pressure. 
       FIG. 21  is a graph showing the experiment verses model projections. This graph (generated using the derived model) has been overlaid with experimental data to show the predictability of the assembly using the model. One experiment was conducted at a temperature of 0° C. (fluid in liquid phase) and the other at 20° C. 
     The invention can use a metering block, one of varying size, shape and configuration, offering an integral channel of varying geometries is mated to a varying size and shape fluid channel from which internally reservoir liquid is transported and dispersed externally. 
     Utilizing the basics of fluid dynamics, elasticity of materials, atmospheric pressure, siphoning, and tubular capillary action, liquid is delivered in a metered, predictable manner hereto undisclosed in the prior art. 
     The novel drip bag, tube and fitment assembly can be used to dispense other fluids and liquids with different viscosities, such as but not limited to dripping buck jam, and the like. For example, an approximately 32 oz bag of buck jam with a tube hydraulic diameter of approximately ⅜ inch and a length of approximately 18 inches can be drained in approximately 6 days. 
     While a flexible bag is described, the invention can be used with other containers, such as bendable and/or semi-rigid containers, and the like. While the container/bag is described having three layers, the container/bag can be formed from other materials, and the like, such as but not limited to plastic, treated cardboard, various combinations of materials, and the like. 
     While a flexible tube is described, the invention can be used with other types of channels, conveyances, pathways, avenues, carriers, ducts, pipes, piping, fluting, veins, chases, grooves, conduits, chambers, continuances and the like. 
     Although the preferred embodiments of the invention are for dispensing animal attractant liquids, and the like, the invention can be used to dispense and drip other materials, such as but limited to insecticides, food, water, serums, medicinal fluids, lubricants, paints, dyes, solutions, engineering fluids, intravenous fluids, plasmas, nutrients, proteins, transportation fluids, and the like. 
     The term “liquids” referenced in the specification can include gels and other fluids of varying viscosity amounts, and the like. 
     The term “approximately” can be +/−10% of the amount referenced. Additionally, preferred amounts and ranges can include the amounts and ranges referenced without the prefix of being approximately. 
     While the invention has been described, disclosed, illustrated and shown in various terms of certain embodiments or modifications which it has presumed in practice, the scope of the invention is not intended to be, nor should it be deemed to be, limited thereby and such other modifications or embodiments as may be suggested by the teachings herein are particularly reserved especially as they fall within the breadth and scope of the claims here appended.