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New analytical method for the study of natural convection flow of a non‐Newtonian fluid

M.M. Rashidi (Mechanical Engineering Department, Engineering Faculty of Bu‐Ali Sina University, Hamedan, Iran)
T. Hayat (Department of Mathematics, Quaid‐I‐Azam University, Islamabad, Pakistan and Department of Physics, King Saud University, Riyadh, Saudi Arabia)
M. Keimanesh (Mechanical Engineering Department, Engineering Faculty of Bu‐Ali Sina University, Hamedan, Iran)
A.A. Hendi (Department of Physics, King Saud University, Riyadh, Saudi Arabia)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 12 April 2013

235

Abstract

Purpose

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The purpose of this paper is to discuss the natural convection flow of an incompressible third grade fluid between two parallel plates. The basic equations governing the flow are reduced to a nonlinear ordinary differential equation.

Design/methodology/approach

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The resulting nonlinear ordinary differential equation is solved by multi‐step differential transform method (MDTM).

Findings

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The obtained solutions in comparison with the numerical solutions (fourth‐order Runge‐Kutta) admit a remarkable accuracy.

Originality/value

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The analysis illustrates the validity and the great potential of the MDTM in solving nonlinear differential equations.

Keywords

Citation

Rashidi, M.M., Hayat, T., Keimanesh, M. and Hendi, A.A. (2013), "New analytical method for the study of natural convection flow of a non‐Newtonian fluid", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 23 No. 3, pp. 436-450. https://doi.org/10.1108/09615531311301236

Publisher

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Emerald Group Publishing Limited

Copyright © 2013, Emerald Group Publishing Limited

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