Analytical Investigation of the MHD Jeffery-Hamel Flow Through Convergent and Divergent Channel by New Scheme

In this article, the problem of an incompressible viscous fluid between non parallel plane walls as known Jeffery-Hamel flow has been studied by using a new scheme. This new scheme depends on integrating nth order of differential equation with known data which was performed using Taylor series expan...

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Bibliographic Details
Published in:Engineering letters 2019-08, Vol.27 (3), p.646
Main Authors: Al-Saif, Abdul-Sattar J A, Jasim, Abeer Majeed
Format: Article
Language:English
Subjects:
Computational fluid dynamics
Convergence
Differential equations
Fluid flow
Incompressible flow
Physical properties
Power series
Series expansion
Taylor series
Viscous fluids
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Summary:In this article, the problem of an incompressible viscous fluid between non parallel plane walls as known Jeffery-Hamel flow has been studied by using a new scheme. This new scheme depends on integrating nth order of differential equation with known data which was performed using Taylor series expansion. The resulting solution is a new analytical approximate solution that represents a power series with physical parameters. The comparison between the present result from anew scheme with a numerical result and other methods was investigated. Interestingly the results confirm the applicability, efficiency, validity and converge of the new scheme.
ISSN:1816-093X
1816-0948