Solution of a free convection effect on oscillatory flow of an electrically conducting micropolar concentration fluid with thermal relaxation within porous medium

In the present paper, the free convection oscillatory flow of a micropolar fluid determined by a vertical an infinite surface plane has fluctuates harmonically temperature with a relaxation time is studied. The surface has a constant suction and oscillates free steam velocity, and absorbs the fluid....

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Main Authors: S.M. Abo-Dahab, A. Hatem
Format: Article
Language:English
Published: Elsevier 2020-06-01
Series:Alexandria Engineering Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1110016820300661
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author S.M. Abo-Dahab
A. Hatem
author_facet S.M. Abo-Dahab
A. Hatem
author_sort S.M. Abo-Dahab
collection DOAJ
description In the present paper, the free convection oscillatory flow of a micropolar fluid determined by a vertical an infinite surface plane has fluctuates harmonically temperature with a relaxation time is studied. The surface has a constant suction and oscillates free steam velocity, and absorbs the fluid. The Eringen model for micropolar fluid is applied to solve the problem. The components of velocity, induced magnetic field, and concentration profiles have been obtained. The technique of regular perturbation is considered to solve the equations governing to a set of linear coupled and uncoupled ordinary differential equations. The problem has been solved for the small values of the micropolar perturbing parameter χ. The effects of Prandetl number Pr, Grashof number Gr, material parameter χ,β,γ are discussed. The cooling and heating effect on the fluid has been discussed. The numerical results indicate that the external parameters are affected strongly on the electrically conducting micropolar concentration fluid. If the electrically conducting and thermal relaxation time, the results obtained deduce to the results obtained by Sharma and Gupta (1995) [31].
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spelling doaj.art-4bed78ad0fe04912b4729ad46f0ef70e2022-12-21T22:02:10ZengElsevierAlexandria Engineering Journal1110-01682020-06-0159312431257Solution of a free convection effect on oscillatory flow of an electrically conducting micropolar concentration fluid with thermal relaxation within porous mediumS.M. Abo-Dahab0A. Hatem1Mathematics Department, Faculty of Science, Taif University, 888, Saudi Arabia; Mathematics Department, Faculty of Science, South Valley University, Qena 83523, Egypt; Corresponding author at: Mathematics Department, Faculty of Science, Taif University, 888, Saudi Arabia.Mathematics Department, Faculty of Science, Umm Al-Qura University, Saudi ArabiaIn the present paper, the free convection oscillatory flow of a micropolar fluid determined by a vertical an infinite surface plane has fluctuates harmonically temperature with a relaxation time is studied. The surface has a constant suction and oscillates free steam velocity, and absorbs the fluid. The Eringen model for micropolar fluid is applied to solve the problem. The components of velocity, induced magnetic field, and concentration profiles have been obtained. The technique of regular perturbation is considered to solve the equations governing to a set of linear coupled and uncoupled ordinary differential equations. The problem has been solved for the small values of the micropolar perturbing parameter χ. The effects of Prandetl number Pr, Grashof number Gr, material parameter χ,β,γ are discussed. The cooling and heating effect on the fluid has been discussed. The numerical results indicate that the external parameters are affected strongly on the electrically conducting micropolar concentration fluid. If the electrically conducting and thermal relaxation time, the results obtained deduce to the results obtained by Sharma and Gupta (1995) [31].http://www.sciencedirect.com/science/article/pii/S1110016820300661MicropolarPorous mediaConvectionElectricallyRelaxation timeConcentration
spellingShingle S.M. Abo-Dahab
A. Hatem
Solution of a free convection effect on oscillatory flow of an electrically conducting micropolar concentration fluid with thermal relaxation within porous medium
Alexandria Engineering Journal
Micropolar
Porous media
Convection
Electrically
Relaxation time
Concentration
title Solution of a free convection effect on oscillatory flow of an electrically conducting micropolar concentration fluid with thermal relaxation within porous medium
title_full Solution of a free convection effect on oscillatory flow of an electrically conducting micropolar concentration fluid with thermal relaxation within porous medium
title_fullStr Solution of a free convection effect on oscillatory flow of an electrically conducting micropolar concentration fluid with thermal relaxation within porous medium
title_full_unstemmed Solution of a free convection effect on oscillatory flow of an electrically conducting micropolar concentration fluid with thermal relaxation within porous medium
title_short Solution of a free convection effect on oscillatory flow of an electrically conducting micropolar concentration fluid with thermal relaxation within porous medium
title_sort solution of a free convection effect on oscillatory flow of an electrically conducting micropolar concentration fluid with thermal relaxation within porous medium
topic Micropolar
Porous media
Convection
Electrically
Relaxation time
Concentration
url http://www.sciencedirect.com/science/article/pii/S1110016820300661
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AT ahatem solutionofafreeconvectioneffectonoscillatoryflowofanelectricallyconductingmicropolarconcentrationfluidwiththermalrelaxationwithinporousmedium