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214830

A Theoretical investigation of Magnetohydrodynamics flow and the heat transfer process of a fluid between two porous discs

Article

Last updated: 28 Dec 2024

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Abstract

In the present study, a theoretical investigation is considered for the steady incompressible flow of an electrically conducting and viscous fluid between two porous discs, one rotating while the other is a stationary disc with a constant uniform suction velocity  on the surface of both discs. An axial magnetic field is subjected to the fluid. The problem of heat transfer process and the temperature distribution for the flow field has been investigated. The formulation of the problem, the basic governing equations in the suitable system of coordinates and the appropriate boundary conditions that govern the fluid motion have been obtained. By using the suitable similarity transformation, the governing nonlinear partial differential equations of motion are transformed into a dimensionless nonlinear ordinary differential equations that solved by using an analytical approximation method. The graphical illustrations due to the effect of a various values of the Hartmann number, the Reynolds numbers and the Prandtl number on the fluid velocity and the temperature distributions have been discussed.

DOI

10.21608/bjas.2021.214830

Keywords

MHD flow, Porous disc, heat transfer, Perturbation method, approximation solution

Authors

First Name

M.

Last Name

Abdel Wahab

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Affiliation

Physics Dept., Faculty of Science, Benha Univ., Benha, Egypt

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First Name

Mostafa.Y.

Last Name

El-Bakry

MiddleName

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Affiliation

Physics Dept., Faculty of Science, Benha Univ., Benha, Egypt

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City

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Orcid

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First Name

S.E.E.

Last Name

Hamza

MiddleName

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Affiliation

Physics Dept., Faculty of Science, Benha Univ., Benha, Egypt

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City

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Orcid

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First Name

A.G.

Last Name

El-ashhab

MiddleName

-

Affiliation

Physics Dept., Faculty of Science, Benha Univ., Benha, Egypt

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City

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Volume

6

Article Issue

6

Related Issue

29659

Issue Date

2021-12-01

Receive Date

2021-12-18

Publish Date

2021-12-01

Page Start

309

Page End

318

Print ISSN

2356-9751

Online ISSN

2356-976X

Link

https://bjas.journals.ekb.eg/article_214830.html

Detail API

https://bjas.journals.ekb.eg/service?article_code=214830

Order

39

Type

Original Research Papers

Type Code

1,647

Publication Type

Journal

Publication Title

Benha Journal of Applied Sciences

Publication Link

https://bjas.journals.ekb.eg/

MainTitle

A Theoretical investigation of Magnetohydrodynamics flow and the heat transfer process of a fluid between two porous discs

Details

Type

Article

Created At

23 Jan 2023