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IJSTR >> Volume 7 - Issue 2, February 2018 Edition



International Journal of Scientific & Technology Research  
International Journal of Scientific & Technology Research

Website: http://www.ijstr.org

ISSN 2277-8616



Solving MHD Pipe Flow Of A Third Grade Fluid With Vogel Model Viscosity And Joule Heating Using The Adomian Decomposition Method

[Full Text]

 

AUTHOR(S)

M. 0. Iyoko, G. T. Okedayo, L. N. Ikpakyegh, J. O. Ode

 

KEYWORDS

Adomian decomposition method, Joule heating, Magnetohydrodynamics (MHD), Pipe flow, Third grade fluid, Vogel model viscosity, Regular perturbation method.

 

ABSTRACT

In this paper we investigated the effect of a magnetic force on the flow of a third grade fluid through a pipe. The existing model equations were extended to incorporate a magnetic effect term in the momentum equation and a joule heating term in the energy equation. The dimensional analysis of the momentum and energy equations was carried out and the Adomian decomposition method was used to find a three point series solution to the velocity and temperature of the fluid, for the Vogel’s model viscosity. Graphs for the velocity and temperature profiles for various values of the thermo-physical parameters were presented. When the magnetic effect parameter and the joule heating parameter are set to be zero, the result was compared with the regular perturbation method result of a previous work in order to validate the use of the Adomian decomposition method.

 

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