A Numerical Examination of an Unsteady Nonlinear MHD Flow in the Presence of Thermal Radiation and Heat Generation

In this study, the spectral perturbation method and the spectral relaxation method are used to solve the nonlinear differential equations of an unsteady nonlinear MHD flow in the presence of thermal radiation and heat generation. The SPM is mainly based on series expansion, generating series approxi...

Full description

Bibliographic Details
Main Authors: T.M. Agbaje, P.G.L. Leach
Format: Article
Language:English
Published: University of Zielona Góra 2021-01-01
Series:International Journal of Applied Mechanics and Engineering
Subjects:
Online Access:https://www.ijame-poland.com/A-Numerical-Examination-of-an-Unsteady-Nonlinear-MHD-Flow-in-the-Presence-of-Thermal,166792,0,2.html
_version_ 1797750472264646656
author T.M. Agbaje
P.G.L. Leach
author_facet T.M. Agbaje
P.G.L. Leach
author_sort T.M. Agbaje
collection DOAJ
description In this study, the spectral perturbation method and the spectral relaxation method are used to solve the nonlinear differential equations of an unsteady nonlinear MHD flow in the presence of thermal radiation and heat generation. The SPM is mainly based on series expansion, generating series approximation coupled with the Chebyshev spectral method. The numerical results generated using the spectral perturbation method were compared with those found in the literature, and the two results were in good agreement.
first_indexed 2024-03-12T16:33:12Z
format Article
id doaj.art-250e582d440646c1b9e7900868d7cd10
institution Directory Open Access Journal
issn 1734-4492
2353-9003
language English
last_indexed 2024-03-12T16:33:12Z
publishDate 2021-01-01
publisher University of Zielona Góra
record_format Article
series International Journal of Applied Mechanics and Engineering
spelling doaj.art-250e582d440646c1b9e7900868d7cd102023-08-08T15:03:46ZengUniversity of Zielona GóraInternational Journal of Applied Mechanics and Engineering1734-44922353-90032021-01-0126111710.2478/ijame-2021-0001166792A Numerical Examination of an Unsteady Nonlinear MHD Flow in the Presence of Thermal Radiation and Heat GenerationT.M. Agbaje0P.G.L. Leach1Institute of Systems Science, Durban University of Technology, P O Box 1334 Durban 4000, South AfricaInstitute of Systems Science, Durban University of Technology, P O Box 1334 Durban 4000, South AfricaIn this study, the spectral perturbation method and the spectral relaxation method are used to solve the nonlinear differential equations of an unsteady nonlinear MHD flow in the presence of thermal radiation and heat generation. The SPM is mainly based on series expansion, generating series approximation coupled with the Chebyshev spectral method. The numerical results generated using the spectral perturbation method were compared with those found in the literature, and the two results were in good agreement.https://www.ijame-poland.com/A-Numerical-Examination-of-an-Unsteady-Nonlinear-MHD-Flow-in-the-Presence-of-Thermal,166792,0,2.htmlunsteady mhd flowspectral perturbation methodspectral relaxation methodthermal radiationheat generation
spellingShingle T.M. Agbaje
P.G.L. Leach
A Numerical Examination of an Unsteady Nonlinear MHD Flow in the Presence of Thermal Radiation and Heat Generation
International Journal of Applied Mechanics and Engineering
unsteady mhd flow
spectral perturbation method
spectral relaxation method
thermal radiation
heat generation
title A Numerical Examination of an Unsteady Nonlinear MHD Flow in the Presence of Thermal Radiation and Heat Generation
title_full A Numerical Examination of an Unsteady Nonlinear MHD Flow in the Presence of Thermal Radiation and Heat Generation
title_fullStr A Numerical Examination of an Unsteady Nonlinear MHD Flow in the Presence of Thermal Radiation and Heat Generation
title_full_unstemmed A Numerical Examination of an Unsteady Nonlinear MHD Flow in the Presence of Thermal Radiation and Heat Generation
title_short A Numerical Examination of an Unsteady Nonlinear MHD Flow in the Presence of Thermal Radiation and Heat Generation
title_sort numerical examination of an unsteady nonlinear mhd flow in the presence of thermal radiation and heat generation
topic unsteady mhd flow
spectral perturbation method
spectral relaxation method
thermal radiation
heat generation
url https://www.ijame-poland.com/A-Numerical-Examination-of-an-Unsteady-Nonlinear-MHD-Flow-in-the-Presence-of-Thermal,166792,0,2.html
work_keys_str_mv AT tmagbaje anumericalexaminationofanunsteadynonlinearmhdflowinthepresenceofthermalradiationandheatgeneration
AT pglleach anumericalexaminationofanunsteadynonlinearmhdflowinthepresenceofthermalradiationandheatgeneration
AT tmagbaje numericalexaminationofanunsteadynonlinearmhdflowinthepresenceofthermalradiationandheatgeneration
AT pglleach numericalexaminationofanunsteadynonlinearmhdflowinthepresenceofthermalradiationandheatgeneration