Effects of MHD and porosity on entropy generation in two incompressible Newtonian fluids over a thin needle in a parallel free stream
Abstract This article is devoted to studying Magnetohydrodynamic (MHD)'s combined effect and porosity on the entropy generation in two incompressible Newtonian fluids over a thin needle moving in a parallel stream. Two Newtonian fluids (air and water) are taken into consideration in this study....
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2020
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oai:doaj.org-article:de10f6324ddf4c97b190f501dc8ff37a2021-12-02T12:42:28ZEffects of MHD and porosity on entropy generation in two incompressible Newtonian fluids over a thin needle in a parallel free stream10.1038/s41598-020-76125-y2045-2322https://doaj.org/article/de10f6324ddf4c97b190f501dc8ff37a2020-12-01T00:00:00Zhttps://doi.org/10.1038/s41598-020-76125-yhttps://doaj.org/toc/2045-2322Abstract This article is devoted to studying Magnetohydrodynamic (MHD)'s combined effect and porosity on the entropy generation in two incompressible Newtonian fluids over a thin needle moving in a parallel stream. Two Newtonian fluids (air and water) are taken into consideration in this study. The viscous dissipation term is involved in the energy equation. The assumption is that the free stream velocity is in the direction of the positive x-axis—(axial direction). The thin needle moves in the same or opposite direction of free stream velocity. The reduced similar governing equations are solved numerically with the help of shooting and the fourth-order Runge–Kutta method. The expressions for dimensionless volumetric entropy generation rate and Bejan number are obtained through using similarity transformations. The effects of the magnetic parameter, porosity parameter, Eckert number, Bejan number, irreversibility parameter, Nusselt number, and skin friction are discussed graphically in detail for and taken as Newtonian fluids. The results are compared with published work and are found in excellent agreement.Farhad AliAnees ImtiazWaqar A. KhanIlyas KhanIrfan A. BadruddinNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 10, Iss 1, Pp 1-13 (2020) |
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Medicine R Science Q Farhad Ali Anees Imtiaz Waqar A. Khan Ilyas Khan Irfan A. Badruddin Effects of MHD and porosity on entropy generation in two incompressible Newtonian fluids over a thin needle in a parallel free stream |
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Abstract This article is devoted to studying Magnetohydrodynamic (MHD)'s combined effect and porosity on the entropy generation in two incompressible Newtonian fluids over a thin needle moving in a parallel stream. Two Newtonian fluids (air and water) are taken into consideration in this study. The viscous dissipation term is involved in the energy equation. The assumption is that the free stream velocity is in the direction of the positive x-axis—(axial direction). The thin needle moves in the same or opposite direction of free stream velocity. The reduced similar governing equations are solved numerically with the help of shooting and the fourth-order Runge–Kutta method. The expressions for dimensionless volumetric entropy generation rate and Bejan number are obtained through using similarity transformations. The effects of the magnetic parameter, porosity parameter, Eckert number, Bejan number, irreversibility parameter, Nusselt number, and skin friction are discussed graphically in detail for and taken as Newtonian fluids. The results are compared with published work and are found in excellent agreement. |
format |
article |
author |
Farhad Ali Anees Imtiaz Waqar A. Khan Ilyas Khan Irfan A. Badruddin |
author_facet |
Farhad Ali Anees Imtiaz Waqar A. Khan Ilyas Khan Irfan A. Badruddin |
author_sort |
Farhad Ali |
title |
Effects of MHD and porosity on entropy generation in two incompressible Newtonian fluids over a thin needle in a parallel free stream |
title_short |
Effects of MHD and porosity on entropy generation in two incompressible Newtonian fluids over a thin needle in a parallel free stream |
title_full |
Effects of MHD and porosity on entropy generation in two incompressible Newtonian fluids over a thin needle in a parallel free stream |
title_fullStr |
Effects of MHD and porosity on entropy generation in two incompressible Newtonian fluids over a thin needle in a parallel free stream |
title_full_unstemmed |
Effects of MHD and porosity on entropy generation in two incompressible Newtonian fluids over a thin needle in a parallel free stream |
title_sort |
effects of mhd and porosity on entropy generation in two incompressible newtonian fluids over a thin needle in a parallel free stream |
publisher |
Nature Portfolio |
publishDate |
2020 |
url |
https://doaj.org/article/de10f6324ddf4c97b190f501dc8ff37a |
work_keys_str_mv |
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