Simultaneous effects of MHD and Joule heating on the fundamental flows of a Casson liquid with slip boundaries

Magnetic field plays a significant role in innumerable fields like mechanical, chemical, biological and medical research. Few examples include power generation systems, magnetohydrodynamic (MHD) accelerators, liquid metal fluids, cooling of nuclear reactors, high-temperature plasmas, chemical proces...

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Main Authors: K. Ramesh, Arshad Riaz, Zahoor Ahmad Dar
Format: Article
Language:English
Published: KeAi Communications Co., Ltd. 2021-06-01
Series:Propulsion and Power Research
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2212540X21000225
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author K. Ramesh
Arshad Riaz
Zahoor Ahmad Dar
author_facet K. Ramesh
Arshad Riaz
Zahoor Ahmad Dar
author_sort K. Ramesh
collection DOAJ
description Magnetic field plays a significant role in innumerable fields like mechanical, chemical, biological and medical research. Few examples include power generation systems, magnetohydrodynamic (MHD) accelerators, liquid metal fluids, cooling of nuclear reactors, high-temperature plasmas, chemical processing equipment and electronic components. In view of these facts, the current investigation discusses the fundamental flows of a Casson fluid in horizontal parallel plates (three fundamental situations considered such as the plate walls progresses in the conflicting directions, the progress of lower plate in the flow direction and other is in fixed position, and the progress of the plates in the flow direction respectively). Influences of radiation, velocity slip, porous medium and Joule heating are considered into account. The flow situation is assumed in Cartesian coordinate system. The momentum and energy equations are transformed into non-dimensional system utilizing appropriate non-dimensional parameters. The exact solutions of the non-dimensional differential equations have been obtained. The pictorial representations are provided for the velocity as well as temperature characteristics in all the mentioned cases. It is concluded by graphical approach that velocity is enhanced in the case of increasing Darcy's parameter and boundary slip while reduced for the large magnetic field. On the other hand, it is found that slip factor is reducing the heat transfer rate while magnetic field is giving rise to it.
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spelling doaj.art-9bb10f23f2674047970da2143047a13a2023-09-02T09:24:20ZengKeAi Communications Co., Ltd.Propulsion and Power Research2212-540X2021-06-01102118129Simultaneous effects of MHD and Joule heating on the fundamental flows of a Casson liquid with slip boundariesK. Ramesh0Arshad Riaz1Zahoor Ahmad Dar2Department of Mathematics, Symbiosis Institute of Technology, Symbiosis International (Deemed University), Pune, 412115, India; Corresponding author.Department of Mathematics, Division of Science and Technology, University of Education, Lahore, 54770, PakistanDepartment of Mathematics, Lovely Professional University, Jalandhar, 144411, IndiaMagnetic field plays a significant role in innumerable fields like mechanical, chemical, biological and medical research. Few examples include power generation systems, magnetohydrodynamic (MHD) accelerators, liquid metal fluids, cooling of nuclear reactors, high-temperature plasmas, chemical processing equipment and electronic components. In view of these facts, the current investigation discusses the fundamental flows of a Casson fluid in horizontal parallel plates (three fundamental situations considered such as the plate walls progresses in the conflicting directions, the progress of lower plate in the flow direction and other is in fixed position, and the progress of the plates in the flow direction respectively). Influences of radiation, velocity slip, porous medium and Joule heating are considered into account. The flow situation is assumed in Cartesian coordinate system. The momentum and energy equations are transformed into non-dimensional system utilizing appropriate non-dimensional parameters. The exact solutions of the non-dimensional differential equations have been obtained. The pictorial representations are provided for the velocity as well as temperature characteristics in all the mentioned cases. It is concluded by graphical approach that velocity is enhanced in the case of increasing Darcy's parameter and boundary slip while reduced for the large magnetic field. On the other hand, it is found that slip factor is reducing the heat transfer rate while magnetic field is giving rise to it.http://www.sciencedirect.com/science/article/pii/S2212540X21000225Casson fluidViscous dissipationJoule heatingPorous mediumThermal radiationMagnetofluiddynamics
spellingShingle K. Ramesh
Arshad Riaz
Zahoor Ahmad Dar
Simultaneous effects of MHD and Joule heating on the fundamental flows of a Casson liquid with slip boundaries
Propulsion and Power Research
Casson fluid
Viscous dissipation
Joule heating
Porous medium
Thermal radiation
Magnetofluiddynamics
title Simultaneous effects of MHD and Joule heating on the fundamental flows of a Casson liquid with slip boundaries
title_full Simultaneous effects of MHD and Joule heating on the fundamental flows of a Casson liquid with slip boundaries
title_fullStr Simultaneous effects of MHD and Joule heating on the fundamental flows of a Casson liquid with slip boundaries
title_full_unstemmed Simultaneous effects of MHD and Joule heating on the fundamental flows of a Casson liquid with slip boundaries
title_short Simultaneous effects of MHD and Joule heating on the fundamental flows of a Casson liquid with slip boundaries
title_sort simultaneous effects of mhd and joule heating on the fundamental flows of a casson liquid with slip boundaries
topic Casson fluid
Viscous dissipation
Joule heating
Porous medium
Thermal radiation
Magnetofluiddynamics
url http://www.sciencedirect.com/science/article/pii/S2212540X21000225
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AT arshadriaz simultaneouseffectsofmhdandjouleheatingonthefundamentalflowsofacassonliquidwithslipboundaries
AT zahoorahmaddar simultaneouseffectsofmhdandjouleheatingonthefundamentalflowsofacassonliquidwithslipboundaries