Three dimensional flow of upper convected maxwell fluid along an infinite plane wall with periodic suction

被引:0
作者
Shoaib M. [1 ,3 ]
Rana M.A. [1 ]
Siddiqui A.M. [2 ]
Darus M. [4 ]
机构
[1] Department of Mathematics and Statistics, Riphah International University, Sector I-14, Islamabad
[2] Department of Mathematics, York Campus, Pennsylvania State University, 1031 Edgecomb Avenue, York, 17403, PA
[3] Barani Institute of Management Sciences (BIMS), Rehman Abad, Rawalpindi
[4] School of Mathematical Sciences, Universiti Kebangaan, Selangor
关键词
Periodic suction; Regular perturbation method; Series solution; Three-dimensional flows; Upper-convected maxwell fluid;
D O I
10.1166/jctn.2016.5409
中图分类号
学科分类号
摘要
The laminar flow of an incompressible upper-convectedMaxwell fluid past an infinite wall is modelled and analyzed analytically. The suction velocity distribution consisting of a basic steady distribution with a superimposed weak transversally varying distribution is assumed. The problem becomes three-dimensional flow problem because of variation of suction velocity in transverse direction on the wall. A perturbation technique is employed to obtain approximate solutions of the differential equations for velocity field, skin friction and pressure. The results obtained for main flow velocity component and wall shear stresses in the main flow direction and perpendicular to it are discussed and analyzed through graphs. It is found that wall shear stress components in the direction of main flow and transverse to the direction of main flow strongly depend on suction parameter and the Deborah number. © Copyright 2016 American Scientific Publishers All rights reserved.
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页码:5247 / 5253
页数:6
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