The effects of Hall parameter on the MHD fluid flow and heat transfer induced by uniform radial electric field due to a shrinking rotating disk

The steady Von Kármán flow and heat transfer of an incompressible electrically conducting fluid, in which Hall impact exists, are studied over an infinite radially shrinking rotating disk in presence of a magnetic field in the present paper as follows, (i) Navier-Stokes equations, Maxwell equation a...

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Main Authors: Nihan Uygun, Hijaz Ahmad, Thongchai Botmart
Format: Article
Language:English
Published: Elsevier 2022-09-01
Series:Case Studies in Thermal Engineering
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2214157X22004683
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author Nihan Uygun
Hijaz Ahmad
Thongchai Botmart
author_facet Nihan Uygun
Hijaz Ahmad
Thongchai Botmart
author_sort Nihan Uygun
collection DOAJ
description The steady Von Kármán flow and heat transfer of an incompressible electrically conducting fluid, in which Hall impact exists, are studied over an infinite radially shrinking rotating disk in presence of a magnetic field in the present paper as follows, (i) Navier-Stokes equations, Maxwell equation and energy equation have been modified in the presence of the Hall impact, applied the uniform magnetic field, and applied the radial electric field, (ii) Numerical solutions of the partial differential equations which govern the modified Navier-Stokes equations, Maxwell equation and energy equation are obtained by using the Chebyshev collocation technique for different values of the Hall parameters, magnetic interaction, radial electric parameters, Eckert and rotation numbers, (iii) The accuracy of the method is verified by comparing with the results in the literature, (iv) The influences of these parameters in these equations system are depicted graphically and analyzed.
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spelling doaj.art-c0526119400d4d2ca77e011aeb35a4972022-12-22T01:32:08ZengElsevierCase Studies in Thermal Engineering2214-157X2022-09-0137102222The effects of Hall parameter on the MHD fluid flow and heat transfer induced by uniform radial electric field due to a shrinking rotating diskNihan Uygun0Hijaz Ahmad1Thongchai Botmart2Mathematics Department, University of Bolu Abant Izzet Baysal, Bolu, TurkeyInternational Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186, Roma, ItalyDepartment of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen, 40002, Thailand; Corresponding author.The steady Von Kármán flow and heat transfer of an incompressible electrically conducting fluid, in which Hall impact exists, are studied over an infinite radially shrinking rotating disk in presence of a magnetic field in the present paper as follows, (i) Navier-Stokes equations, Maxwell equation and energy equation have been modified in the presence of the Hall impact, applied the uniform magnetic field, and applied the radial electric field, (ii) Numerical solutions of the partial differential equations which govern the modified Navier-Stokes equations, Maxwell equation and energy equation are obtained by using the Chebyshev collocation technique for different values of the Hall parameters, magnetic interaction, radial electric parameters, Eckert and rotation numbers, (iii) The accuracy of the method is verified by comparing with the results in the literature, (iv) The influences of these parameters in these equations system are depicted graphically and analyzed.http://www.sciencedirect.com/science/article/pii/S2214157X22004683Hall effectRadial shrinkingElectric potentialMHD flowRotating-disk
spellingShingle Nihan Uygun
Hijaz Ahmad
Thongchai Botmart
The effects of Hall parameter on the MHD fluid flow and heat transfer induced by uniform radial electric field due to a shrinking rotating disk
Case Studies in Thermal Engineering
Hall effect
Radial shrinking
Electric potential
MHD flow
Rotating-disk
title The effects of Hall parameter on the MHD fluid flow and heat transfer induced by uniform radial electric field due to a shrinking rotating disk
title_full The effects of Hall parameter on the MHD fluid flow and heat transfer induced by uniform radial electric field due to a shrinking rotating disk
title_fullStr The effects of Hall parameter on the MHD fluid flow and heat transfer induced by uniform radial electric field due to a shrinking rotating disk
title_full_unstemmed The effects of Hall parameter on the MHD fluid flow and heat transfer induced by uniform radial electric field due to a shrinking rotating disk
title_short The effects of Hall parameter on the MHD fluid flow and heat transfer induced by uniform radial electric field due to a shrinking rotating disk
title_sort effects of hall parameter on the mhd fluid flow and heat transfer induced by uniform radial electric field due to a shrinking rotating disk
topic Hall effect
Radial shrinking
Electric potential
MHD flow
Rotating-disk
url http://www.sciencedirect.com/science/article/pii/S2214157X22004683
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