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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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) |
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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 |
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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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