Significance of the physical quantities for the non-Newtonian fluid flow in an irregular channel with heat and mass transfer effects: Lie group analysis

Physical quantities such as skin friction coefficient, local Nusselt number, and local Sherwood number for Casson fluid flow in an irregular channel are determined in this article. Casson fluid properties are primarily enhanced in this flow due to the effects of magnetohydrodynamic (MHD), porous med...

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Autores principales: Musharafa Saleem, Muhammad Nazim Tufail, Qasim Ali Chaudhry
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Publicado: Elsevier 2022
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spelling oai:doaj.org-article:f9cb44e0fc474614a9f7aa7efe81d9952021-11-30T04:13:47ZSignificance of the physical quantities for the non-Newtonian fluid flow in an irregular channel with heat and mass transfer effects: Lie group analysis1110-016810.1016/j.aej.2021.07.003https://doaj.org/article/f9cb44e0fc474614a9f7aa7efe81d9952022-03-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S1110016821004713https://doaj.org/toc/1110-0168Physical quantities such as skin friction coefficient, local Nusselt number, and local Sherwood number for Casson fluid flow in an irregular channel are determined in this article. Casson fluid properties are primarily enhanced in this flow due to the effects of magnetohydrodynamic (MHD), porous medium, thermal radiation, viscous dissipation, and chemical reaction. Because of the pressure gradient, oscillatory waves formed at the ends of the walls, which are also kept at constant temperatures and concentrations. The Lie group method is used to convert partial differential equations (PDEs) to ordinary differential equations (ODEs). Analytical solutions are provided for the momentum, energy, and concentration equations with benchmark solutions. Dimensionless numbers are computed to interpret physical quantities for this type of flow via graphs and tables. According to the variations of the emerging parameters, physical quantities exhibited reverse behaviour between the upper and lower walls. The velocity profile has an increasing attitude toward the Casson fluid parameter, the Darcy parameter, the wavelength, and the Reynolds number, but a decreasing attitude toward the Hartmann number. The concentration profile is decreasing due to the oscillation effect, but the Schmidt number has a growing influence.Musharafa SaleemMuhammad Nazim TufailQasim Ali ChaudhryElsevierarticleOscillation parameterHartmann numberEckert numberSkin friction coefficientRate of heat transfer parameterRate of mass transfer parameterEngineering (General). Civil engineering (General)TA1-2040ENAlexandria Engineering Journal, Vol 61, Iss 3, Pp 1968-1980 (2022)
institution DOAJ
collection DOAJ
language EN
topic Oscillation parameter
Hartmann number
Eckert number
Skin friction coefficient
Rate of heat transfer parameter
Rate of mass transfer parameter
Engineering (General). Civil engineering (General)
TA1-2040
spellingShingle Oscillation parameter
Hartmann number
Eckert number
Skin friction coefficient
Rate of heat transfer parameter
Rate of mass transfer parameter
Engineering (General). Civil engineering (General)
TA1-2040
Musharafa Saleem
Muhammad Nazim Tufail
Qasim Ali Chaudhry
Significance of the physical quantities for the non-Newtonian fluid flow in an irregular channel with heat and mass transfer effects: Lie group analysis
description Physical quantities such as skin friction coefficient, local Nusselt number, and local Sherwood number for Casson fluid flow in an irregular channel are determined in this article. Casson fluid properties are primarily enhanced in this flow due to the effects of magnetohydrodynamic (MHD), porous medium, thermal radiation, viscous dissipation, and chemical reaction. Because of the pressure gradient, oscillatory waves formed at the ends of the walls, which are also kept at constant temperatures and concentrations. The Lie group method is used to convert partial differential equations (PDEs) to ordinary differential equations (ODEs). Analytical solutions are provided for the momentum, energy, and concentration equations with benchmark solutions. Dimensionless numbers are computed to interpret physical quantities for this type of flow via graphs and tables. According to the variations of the emerging parameters, physical quantities exhibited reverse behaviour between the upper and lower walls. The velocity profile has an increasing attitude toward the Casson fluid parameter, the Darcy parameter, the wavelength, and the Reynolds number, but a decreasing attitude toward the Hartmann number. The concentration profile is decreasing due to the oscillation effect, but the Schmidt number has a growing influence.
format article
author Musharafa Saleem
Muhammad Nazim Tufail
Qasim Ali Chaudhry
author_facet Musharafa Saleem
Muhammad Nazim Tufail
Qasim Ali Chaudhry
author_sort Musharafa Saleem
title Significance of the physical quantities for the non-Newtonian fluid flow in an irregular channel with heat and mass transfer effects: Lie group analysis
title_short Significance of the physical quantities for the non-Newtonian fluid flow in an irregular channel with heat and mass transfer effects: Lie group analysis
title_full Significance of the physical quantities for the non-Newtonian fluid flow in an irregular channel with heat and mass transfer effects: Lie group analysis
title_fullStr Significance of the physical quantities for the non-Newtonian fluid flow in an irregular channel with heat and mass transfer effects: Lie group analysis
title_full_unstemmed Significance of the physical quantities for the non-Newtonian fluid flow in an irregular channel with heat and mass transfer effects: Lie group analysis
title_sort significance of the physical quantities for the non-newtonian fluid flow in an irregular channel with heat and mass transfer effects: lie group analysis
publisher Elsevier
publishDate 2022
url https://doaj.org/article/f9cb44e0fc474614a9f7aa7efe81d995
work_keys_str_mv AT musharafasaleem significanceofthephysicalquantitiesforthenonnewtonianfluidflowinanirregularchannelwithheatandmasstransfereffectsliegroupanalysis
AT muhammadnazimtufail significanceofthephysicalquantitiesforthenonnewtonianfluidflowinanirregularchannelwithheatandmasstransfereffectsliegroupanalysis
AT qasimalichaudhry significanceofthephysicalquantitiesforthenonnewtonianfluidflowinanirregularchannelwithheatandmasstransfereffectsliegroupanalysis
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