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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Bibliographic Details
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
Online Access:Get full text
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Summary: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.
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ISSN:1385-2000
1573-2738
DOI:10.1007/s11043-021-09495-z