The effects of variable viscosity and thermal conductivity on a thin film flow over a shrinking/stretching sheet

Authors:
Yasir Khan;Qingbiao Wu;Naeem Faraz;Ahmet Yildirim
Affiliations:
Department of Mathematics, Zhejiang University, Hangzhou 310027, China;Department of Mathematics, Zhejiang University, Hangzhou 310027, China;Modern Textile Institute, Donghua University, 1882 Yan'an Xilu Road, Shanghai 200051, China;Ege University, Science Faculty, Department of Mathematics, 35100 Bornova Izmir, Turkey
Venue:
Computers & Mathematics with Applications
Year:
2011

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Abstract

The effects of variable viscosity and thermal conductivity on the flow and heat transfer in a laminar liquid film on a horizontal shrinking/stretching sheet are analyzed. The similarity transformation reduces the time independent boundary layer equations for momentum and thermal energy into a set of coupled ordinary differential equations. The resulting five-parameter problem is solved by the homotopy perturbation method. The results are presented graphically to interpret various physical parameters appearing in the problem.