Thermal analysis of MHD convective slip transport of fractional Oldroyd-B fluid over a plate

The prime concern of this study is to analyze the generalized time-dependent magnetohydrodynamic (MHD) slip transport of an Oldroyd-B fluid near an oscillating upright plate. The plate is nested in a porous media under the action of ramped heating and nonlinear thermal radiation. Caputo–Fabrizio (CF...

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Published in:	Mechanics of time-dependent materials Vol. 26; no. 2; pp. 431 - 462
Main Authors:	Anwar, Talha, Kumam, Poom, Khan, Ilyas, Thounthong, Phatiphat
Format:	Journal Article
Language:	English
Published:	Dordrecht Springer Netherlands 01.06.2022 Springer Nature B.V
Subjects:	Algorithms Characterization and Evaluation of Materials Classical Mechanics Dimensionless numbers Engineering Fluid flow Heat Heat transfer Magnetohydrodynamics Maxwell fluids Momentum Numerical analysis Partial differential equations Polymer Sciences Porous media Shear stress Skin friction Slip flow Solid Mechanics Thermal analysis Thermal radiation Thermodynamics Velocity distribution Slip flow MHD Ramped heating CF and ABC derivatives Oscillating plate, Oldroyd-B model Porous medium
ISSN:	1385-2000, 1573-2738
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Abstract	The prime concern of this study is to analyze the generalized time-dependent magnetohydrodynamic (MHD) slip transport of an Oldroyd-B fluid near an oscillating upright plate. The plate is nested in a porous media under the action of ramped heating and nonlinear thermal radiation. Caputo–Fabrizio (CF) and Atangana–Baleanu (ABC) derivatives are utilized to constitute fractional partial differential equations that establish slip flow, shear stress, and heat transfer phenomena. Primarily, Laplace transformation is applied to dimensionless fractional models, and later Stehfest’s numerical algorithm is invoked to anticipate solutions of momentum and heat equations in principal coordinates. Moreover, computed solutions of velocity and energy fields are authenticated by Durbin’s and Zakian’s Laplace inversion algorithms. The relations for skin friction and Nusselt number are evaluated in terms of velocity and temperature gradients to efficiently anticipate shear stress and rate of heat transfer at the solid–fluid interface. The respective outcomes are manifested through tables. A critical examination of the current model is carried out and repercussions of variation in implanted parameters on temperature and momentum profiles are graphically elucidated. For the sake of comparison, three limiting fractional models, named second grade, Maxwell, and viscous models, are proposed for the isothermal and ramped temperature cases. Consequently, the observed outcomes affirm that under the isothermal condition, a generalized Maxwell fluid performs the swiftest slip transport compared to other models. Inversely, a second grade fluid specifies the highest velocity profile under ramped temperature case.
AbstractList	The prime concern of this study is to analyze the generalized time-dependent magnetohydrodynamic (MHD) slip transport of an Oldroyd-B fluid near an oscillating upright plate. The plate is nested in a porous media under the action of ramped heating and nonlinear thermal radiation. Caputo–Fabrizio (CF) and Atangana–Baleanu (ABC) derivatives are utilized to constitute fractional partial differential equations that establish slip flow, shear stress, and heat transfer phenomena. Primarily, Laplace transformation is applied to dimensionless fractional models, and later Stehfest’s numerical algorithm is invoked to anticipate solutions of momentum and heat equations in principal coordinates. Moreover, computed solutions of velocity and energy fields are authenticated by Durbin’s and Zakian’s Laplace inversion algorithms. The relations for skin friction and Nusselt number are evaluated in terms of velocity and temperature gradients to efficiently anticipate shear stress and rate of heat transfer at the solid–fluid interface. The respective outcomes are manifested through tables. A critical examination of the current model is carried out and repercussions of variation in implanted parameters on temperature and momentum profiles are graphically elucidated. For the sake of comparison, three limiting fractional models, named second grade, Maxwell, and viscous models, are proposed for the isothermal and ramped temperature cases. Consequently, the observed outcomes affirm that under the isothermal condition, a generalized Maxwell fluid performs the swiftest slip transport compared to other models. Inversely, a second grade fluid specifies the highest velocity profile under ramped temperature case.
Author	Khan, Ilyas Anwar, Talha Kumam, Poom Thounthong, Phatiphat
Author_xml	– sequence: 1 givenname: Talha orcidid: 0000-0002-4071-752X surname: Anwar fullname: Anwar, Talha organization: Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT) – sequence: 2 givenname: Poom orcidid: 0000-0002-5463-4581 surname: Kumam fullname: Kumam, Poom email: poom.kum@kmutt.ac.th organization: KMUTT Fixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Science Laboratory Building, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Department of Medical Research, China Medical University Hospital, China Medical University – sequence: 3 givenname: Ilyas surname: Khan fullname: Khan, Ilyas organization: Department of Mathematics, College of Science Al-Zulfi, Majmaah University – sequence: 4 givenname: Phatiphat surname: Thounthong fullname: Thounthong, Phatiphat organization: Renewable Energy Research Centre, Department of Teacher Training in Electrical Engineering, Faculty of Technical Education, King Mongkut’s University of Technology North Bangkok
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Snippet	The prime concern of this study is to analyze the generalized time-dependent magnetohydrodynamic (MHD) slip transport of an Oldroyd-B fluid near an oscillating...
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SubjectTerms	Algorithms Characterization and Evaluation of Materials Classical Mechanics Dimensionless numbers Engineering Fluid flow Heat Heat transfer Magnetohydrodynamics Maxwell fluids Momentum Numerical analysis Partial differential equations Polymer Sciences Porous media Shear stress Skin friction Slip flow Solid Mechanics Thermal analysis Thermal radiation Thermodynamics Velocity distribution
Title	Thermal analysis of MHD convective slip transport of fractional Oldroyd-B fluid over a plate
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