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Volume 23, Issue 3
12 April 2013
International Journal of Numerical Methods for Heat & Fluid Flow Cover Image for Volume 23, Issue 3
Research Article| April 12 2013

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

M.M. Rashidi;
M.M. Rashidi
Mechanical Engineering Department, Engineering Faculty of Bu‐Ali Sina University, Hamedan, Iran
M.M. Rashidi can be contacted at: mm.rashidi@usherbrooke.ca
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T. Hayat;
T. Hayat
Department of Mathematics, Quaid‐I‐Azam University, Islamabad, Pakistan and Department of Physics, King Saud University, Riyadh, Saudi Arabia
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M. Keimanesh;
M. Keimanesh
Mechanical Engineering Department, Engineering Faculty of Bu‐Ali Sina University, Hamedan, Iran
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A.A. Hendi
A.A. Hendi
Department of Physics, King Saud University, Riyadh, Saudi Arabia
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Author & Article Information
M.M. Rashidi can be contacted at: mm.rashidi@usherbrooke.ca
Publisher: Emerald Publishing
Online ISSN: 1758-6585
Print ISSN: 0961-5539
© Emerald Group Publishing Limited
2013
International Journal of Numerical Methods for Heat & Fluid Flow (2013) 23 (3): 436–450.
https://doi.org/10.1108/09615531311301236
Purpose

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

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

Findings

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

Originality/value

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

Keywords:
Differential equations, Convection, Fluids, Flow, Natural convection, Non‐Newtonian fluid, Multi‐step differential transform method
© Emerald Group Publishing Limited
2013
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