Open Access
2013 MHD Thin Film Flows of a Third Grade Fluid on a Vertical Belt with Slip Boundary Conditions
Taza Gul, Rehan Ali Shah, Saeed Islam, Muhammad Arif
J. Appl. Math. 2013: 1-14 (2013). DOI: 10.1155/2013/707286


The problem of heat transfer analysis is considered in electrically conducting thin film flows with slip boundary conditions. The flow is assumed to be obeying the nonlinear rheological constitutive equation of a third grade fluid. We have solved the governing nonlinear equations of present problems using the traditional Adomian decomposition method (ADM). Particular attention is given to the combined effect of heat and MHD on the velocity field. The results include the profile of velocity, volume flux, skin friction, average velocity, and the temperature distribution across the film. The effects of model parameters on velocity, skin friction and temperature variation have been studied. Optimal homotopy asymptotic method (OHAM) is also used for comparison. The numerical results and absolute errors are derived in tables.


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Taza Gul. Rehan Ali Shah. Saeed Islam. Muhammad Arif. "MHD Thin Film Flows of a Third Grade Fluid on a Vertical Belt with Slip Boundary Conditions." J. Appl. Math. 2013 1 - 14, 2013.


Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950830
MathSciNet: MR3124587
Digital Object Identifier: 10.1155/2013/707286

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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