Journal of Applied Fluid MechanicsJAFMMechanical Engineeringhttp://jafmonline.net1admin173535721735364510.29252/jafmenjalali1395811gregorian201611196online1fulltexten10.29252/jafm.09.06.25873Flow of a Second Grade Fluid through Constricted Tube using Integral MethodgeneralResearchThe 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.Non-Newtonian fluids; Constricted tube; Analytical solutions; Shear stress; Back flow; Separation and reattachment points.28032812http://jafmonline.net/JournalArchive/download?file_ID=41383&issue_ID=237A A. M.Siddiquiams5@psu.edu`NoDepartment of Mathematics and Statistics, QUEST, Nawabshah, Sindh, Pakistan`

`N. Z.Khannoshikhan14@yahoo.com``YesRiphah International University I-14 Islamabad`

`MuhammadAfzal Ranamafzalrana@gmail.com``NoRiphah International University Islamabad Pakistan`

`TahiraHaroontahiraharoon@comsats.edu.pk``NoCOMSATS Institute of Information Technology, Islamabad`