期刊
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
卷 65, 期 11, 页码 969-994出版社
WALTER DE GRUYTER GMBH
DOI: 10.1515/zna-2010-1109
关键词
Stagnation Flow; Heat Transfer; Third-Order Fluid; Shrinking Sheet; Homotopy Analysis Method
This paper is devoted to the study of a stagnation point flow of an incompressible third-order fluid towards a shrinking sheet (with heat transfer). The governing nonlinear partial differential equations are reduced into nonlinear ordinary differential equations by means of a similarity transformation and then solved by the homotopy analysis method. Two types of flow problems, namely, (i) two dimensional stagnation flow toward a shrinking sheet and (ii) axisymmetric stagnation flow towards an axisymmetric shrinking surface have been discussed. Also, two types of boundary conditions are taken into account: (i) prescribed surface temperature (PST) and (ii) prescribed heat flux (PHF) case. The effects of various emerging parameters of non-Newtonian fluid have been investigated in detail and shown pictorically. The convergence of the solutions have been discussed through h-curves and residual error. For further validity, the homotopy Pade approximation is also applied.
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