29606

Series Solution For APeristaltic Flow Of a Magneto-fluid Through ATaperEccentric Cylinders

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Last updated: 04 Jan 2025

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Abstract

Abstract:
The magneto-hydrodynamic peristaltic flow of an incompressible Newtonian fluid was investigated between two eccentric tubes. The problem is measured in cylindrical coordinates. Geometrically, we considered two eccentric tubes in which the inner tube is rigid while the outer tube is tapered and have a sinusoidal wave generated on its walls. The governing equations are observed nonlinear second order partial differential equations. Under the conditions of long wavelength approximation the problem has been solved with the help of the homotopy perturbation method (HPM). The obtained results are then plotted to see the influence of the different physical parameters on the velocity profile, pressure gradient , pressure rise and frictionless force expressions. The velocity profile is drawn in the two and three dimensions. The trapping bolus phenomena is also discussed through the contour plot of the streamlines.

DOI

10.21608/icmep.2016.29606

Keywords

Peristaltic Flow, Magneto Fluid, Taper Eccentric Cylinders, HPM

Authors

First Name

Khaled

Last Name

Mekheimer

MiddleName

S.

Affiliation

Dept of Mathematics and statistics, Faculty of Science, Taif University, Hawia 888, Taif, Saudi Arabia & Dept of Mathematics,Faculty of Science, Al-Azhar University, Nasr City, Cairo, EGYPT.

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First Name

Mohamed

Last Name

Mohamed

MiddleName

S.

Affiliation

Dept of Mathematics and statistics, Faculty of Science, Taif University, Hawia 888, Taif, Saudi Arabia & Dept of Mathematics,Faculty of Science, Al-Azhar University, Nasr City, Cairo, EGYPT.

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First Name

Shurouq

Last Name

Alnufiai

MiddleName

Abdulaziz A.

Affiliation

Dept of Mathematics, Faculty of Science, Taif University, Hawia 888, Taif, Saudi Arabia.

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Volume

8

Article Issue

International Conference on Mathematics and Engineering Physics (ICMEP-8)

Related Issue

5187

Issue Date

2016-04-01

Receive Date

2019-04-04

Publish Date

2016-04-01

Page Start

1

Page End

20

Print ISSN

2636-431X

Online ISSN

2636-4328

Link

https://icmep.journals.ekb.eg/article_29606.html

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https://icmep.journals.ekb.eg/service?article_code=29606

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Original Article

Type Code

830

Publication Type

Journal

Publication Title

The International Conference on Mathematics and Engineering Physics

Publication Link

https://icmep.journals.ekb.eg/

MainTitle

Series Solution For APeristaltic Flow Of a Magneto-fluid Through ATaperEccentric Cylinders

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Article

Created At

22 Jan 2023