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Thermocapillarity and magnetic field effects in a thin liquid film on an unsteady stretching surface. (English) Zbl 1190.80025

Summary: The effects of thermocapillarity and a magnetic field on the flow and heat transfer in a liquid film over an unsteady elastic stretching surface is analyzed. Similarity transformations are used to transform the governing equations to a set of coupled ordinary differential equations. The differential equations are solved analytically by the homotopy analysis method (HAM). The effects of various parameters in this study are discussed and presented graphically.

MSC:

80A20 Heat and mass transfer, heat flow (MSC2010)
76A20 Thin fluid films
78A25 Electromagnetic theory (general)
76W05 Magnetohydrodynamics and electrohydrodynamics
76M25 Other numerical methods (fluid mechanics) (MSC2010)
80M25 Other numerical methods (thermodynamics) (MSC2010)
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References:

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