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Analytical solutions for MHD flow in a third-grade fluid with variable viscosity

โœ Scribed by R. Ellahi; Arshad Riaz

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
491 KB
Volume
52
Category
Article
ISSN
0895-7177

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โœฆ Synopsis

The purpose of the current article is to analyze the influence of magnetohydrodynamics (MHD) on the pipe flow of a third-grade fluid with variable viscosity. In addition, the heat transfer characteristic is taken into account. Due to the nonlinear, coupled and highly complicated nature of the governing equations, finding an analytical solution is not easy. We obtained the expressions for the velocity and temperature using the homotopy analysis method (HAM). The sketched graphs describe the features of the physical parameters involved in the solution.

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โœ Faiz Ahmad ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 181 KB

We solve the governing equations for the flow of a third grade fluid in a porous half space. We find a simple expression which describes the solution accurately over the whole domain ยฝ0; 1รž. The rate of exponential decay of the flow is independent of the parameters which characterize the nonlinear p