System Modelling IV: Deriving the transfer function of a tank with an orifice, 9/3/2014
Channel: Lutfi Al-Sharif
Date: 2014-03-09

(* Link to accompanying file can be found below *)
Post Video note:  I noticed that there was a slight error in this video after I finished.  The resistance to flow, R, should have an extra factor that depends on the size and shape of the orifice.  This should be denoted as k.  So the resistance to flow, R, should be equal to [k/(rho x g)] not [1/(rho x g)] as I have shown.  rho is the density of the fluid in kg/m^3, and g is the acceleration due to gravity in m/s^2.  this should not affect the final answer or the method.

Lutfi Al-Sharif 11/3/2014
P.S. The full derivation (with the correct value of R) can be found in the following link to the pdf file:
http://www2.ju.edu.jo/sites/Academic/l.sharif/Material/Digital%20Control%20Systems/02%20Modelling%20and%20Simulation/deriving%20the%20transfer%20function%20of%20a%20fluidic%20tank%20with%20an%20orifice%20140310.pdf