Flow Distribution in Manifolds

A Numerical study of two-dimensional, turbulent, incompressible fluid flow through manifold pipe that divides flow to five consecutive laterals is carried out. Each lateral is oriented at ninety degree to manifold axis. The study is based on the solution of the elliptic partial differential equations representing the conservation of mass, momentum, turbulence energy and its dissipation rate in finite volume form. The turbulent viscosity and diffusion coefficients are calculated using the (k-ε) model. Different parameters are considered to illustrate their influences on the flow distribution along manifold. These parameters include the area ratio (the ratio of the sum of areas of all laterals to manifold area) (A.R), curvature radius at the junction points between manifold and laterals (R), and space between each two consecutive laterals. The results show that the area ratio has a significant effect on flow distribution along manifold pipe and as a result of these effects the discharge through laterals near from uniform as the area ratio becomes less than unity (A.R<1), while when area ratio becomes larger than unity (A.R>1) the discharge distribution through laterals is far from uniform (flow rate through the last lateral will be greater than the flow through the first lateral), especially for short manifold (L/D≤10) and sharp-edged laterals. The value of skin friction factor will be decreased as area ratio becomes larger than unity. The rounding of lateral entrance, the variation in flow distribution is much greater, whereas the discharge will be increased at last two lateral pipes. The value of skin friction factor at wall of manifold decrease as curvature radius increases. Finally as the space between each two consecutive laterals increases, the variation in discharge distribution through laterals decreases slowly. خلا ـ صلا ـــــــ ة Dr. Abdulwahhab AbdulRazzaq Mechanical Engineering Dept., College of Eng. Al-Mustansiriya University, Baghdad, Iraq Asst. Prof. Dr. J. M. Hassan Mechanical Engineering Dept., College of Eng. University of Technology, Baghdad, Iraq Eng. B. K. Kamil M.Sc. in Mechanical Engineering Al-Mustansiriya University, Baghdad, Iraq Journal of Engineering and Development, Vol. 12, No. 4, December (2008) ISSN 1813-7822 160 برطضملا ناٌرجلا ةاكاحم ةٌلاحلا ةٌبوساحلا ةساردلا نمضتت ، داعبلأا ًئانث ، عرفتم بوب لخاد ًطاغضنلالا ، بوبنلأا تاٌثادحإ عم عطاقتٌ ًبناج بوبنأ لك . رٌصق لوط تاذ ةعباتتم ةٌبناج بٌبانأ ةسمخ ىلإ ناٌرجلا عزوٌ يذلاو ( ةمئاق ةٌوازب عونملا 09 نمضتت .)ةجرد ةلتكلا ظفحب ةلثمتملاو ةٌجٌلهلاا ةٌئزجلا ةٌلضافتلا تلاداعملا لح ةساردلا ، مخزلا ، اهعاٌض لدعمو ةبرطضملا ةقاطلا ، ةددحملا موجحلا مادختساب ، تلح دقلو هذه ةٌربجلا غٌصلا عم ةٌوس تلاداعملا ةٌراشتنلاا لدعمو ةبرطضملا ةجوزلل ىمسملا بارطضلاا ماظن دوجوب ( k-ε ) ت مت دقو . لماوع ةدع رٌثأت حٌضو عرفتملا بوبنلأا للاخ ناٌرجلا عٌزوت ىلع ةٌسدنه هذهو ، عورفلا تاحاسم عومجم( ةحاسملا ةبسن تنمضت لماوعلا )ًسٌئرلا بوبنلأا ةحاسم ىلع ةموسقم ، سوقتلا رطق فصن ، . ةٌعرفلا بٌبانلأا نٌب ةفاسملاو م رٌثأت كلمت ةحاسملا ةبسن نأ تحضوأ ةساردلا هذه جئاتن ناٌرجلا عٌزوت ىلع حضاوو سومل ، اذه ىلإ ةبسنو دحاو نم لقأ ةحاسملا ةبسن نوكت امدنع مظتنملا عٌزوتلا نم برتقٌ فوس ةٌعرفلا بٌبانلأا للاخ فٌرصتلا نأف رٌثأتلا ، دحاو نم ربكأ ةحاسملا ةبسن نوكت امدنع امنٌب ، ا عٌزوتلا نم دعتبٌ ةٌبناجلا بٌبانلأا للاخ فٌرصتلا عٌزوت نأف مظتنمل ، ( رٌصق عونملا بوبنلأا ناك اذإ صخلأابو L/D≤10 نوكت امدنع لقٌ فوس عونملا بوبنلأا رادج دنع كاكتحلاا ةمٌق .) ًنحنم بوبنلأا لخدم نوكٌ امدنع . دحاو نم ربكأ ةحاسملا ةبسن ، ةٌبناجلا تاعرفتلا للاخ ناٌرجلا عٌزوت ًف قرفلا ناف دادزٌ فوس ، فٌرصتلا زكرتٌ فوس ًاصوصخو نٌٌبناج نٌعرفت رخأ ًف . ةٌعرفلا بٌبانلأا نٌب ةفاسملا دادزت امدنع اًرٌخأ ، فوس ةٌبناجلا بٌبانلأا للاخ فٌرصتلا عٌزوت ًف قرفلا نأف طبب لقٌ ئ .