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

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 ord...

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Bibliographic Details
Published in:International journal of numerical methods for heat & fluid flow 2013-01, Vol.23 (3), p.436-450
Main Authors: Rashidi, M.M, Hayat, T, Keimanesh, M, Hendi, A.A
Format: Article
Language:English
Subjects:
Algorithms
Boundary conditions
Computational fluid dynamics
Convection
Differential equations
Fluid flow
Fluids
Heat transfer
Mathematical analysis
Mathematical models
Methods
Non-Newtonian fluids
Nonlinear equations
Nonlinearity
Numerical analysis
Partial differential equations
Runge-Kutta method
Studies
Viscosity
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Summary: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.
ISSN:0961-5539
1758-6585
DOI:10.1108/09615531311301236