{"title":"Flow of a Second Order Fluid through Constricted Tube with Slip Velocity at Wall Using Integral Method","authors":"Nosheen Zareen Khan, Abdul Majeed Siddiqui, Muhammad Afzal Rana","country":null,"institution":"","volume":106,"journal":"International Journal of Physical and Mathematical Sciences","pagesStart":636,"pagesEnd":643,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/10002828","abstract":"The steady flow of a second order fluid through\r\nconstricted tube with slip velocity at wall is modeled and analyzed\r\ntheoretically. The governing equations are simplified by implying no\r\nslip in radial direction. Based on Karman Pohlhausen procedure\r\npolynomial solution for axial velocity profile is presented.\r\nExpressions for pressure gradient, shear stress, separation and\r\nreattachment points, and radial velocity are also calculated. The\r\neffect of slip and no slip velocity on magnitude velocity, shear stress,\r\nand pressure gradient are discussed and depicted graphically. It is\r\nnoted that when Reynolds number increases magnitude velocity of\r\nthe fluid decreases in both slip and no slip conditions. It is also found\r\nthat the wall shear stress, separation, and reattachment points are\r\nstrongly affected by Reynolds number.","references":null,"publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 106, 2015"}