Flow of a Second Grade Fluid through Constricted Tube using Integral Method
Publish place: Journal of Applied Fluid Mechanics، Vol: 9، Issue: 6
Publish Year: 1395
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JAFM-9-6_016
تاریخ نمایه سازی: 3 بهمن 1400
Abstract:
The steady flow of a second grade fluid through constricted tube for mild stenosis is modeled and analyzed theoretically. The governing equations are simplified by implying an order-of-magnitude analysis. Based on Karman Pohlhausen procedure polynomial solution for velocity profile is presented. Expressions for pressure gradient, shear stress, separation and reattachment points are also calculated. The effects of nondimensional parameters emerging in the model on the velocity profile, shear stress, pressure gradient are discussed and depicted graphically. The effect of non-Newtonian parameter on velocity profile, wall shear stress and pressure gradient is also analyzed. It is found that the Reynolds number strongly effect the wall shear stress, separation and reattachment points.
Keywords:
Constricted tube , Non , newtonian fluids , Shear stress , Analytical solutions , Back flow , Separation and reattachment points
Authors
A. M. Siddiqui
Pennsylvania State University, York campus, Edgecombe PA ۱۷۰۳ USA
N. Z. Khan
Department of Basic Sciences, Riphah International University, Islamabad ۴۴۰۰۰, Pakistan
M. A. Rana
Department of Basic Sciences, Riphah International University, Islamabad ۴۴۰۰۰, Pakistan
T. Haroon
Department of Mathematics, COMSATS Institute of Information Technology Park Road, Chak Shehzad Islamabad ۴۴۰۰۰, Pakistan