Influence in a Darcy's medium with heat production and radiation on MHD convection flow via modern fractional approach

This theoretical study explores MHD convection flow confined to an unbounded vertical plate embedded in a permeable surface under the effect of heat generation and ramp temperature. Solutions of concentration, temperature, and velocity profiles are derived symmetrically by applying non-dimensional p...

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Main Authors: Ilyas Khan, Syed Tauseef Saeed, Muhammad Bilal Riaz, Kashif Ali Abro, Syed Muhammad Husnine, Kottakkaran Sooppy Nisar
Format: Article
Language:English
Published: Elsevier 2020-09-01
Series:Journal of Materials Research and Technology
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2238785420314605
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author Ilyas Khan
Syed Tauseef Saeed
Muhammad Bilal Riaz
Kashif Ali Abro
Syed Muhammad Husnine
Kottakkaran Sooppy Nisar
author_facet Ilyas Khan
Syed Tauseef Saeed
Muhammad Bilal Riaz
Kashif Ali Abro
Syed Muhammad Husnine
Kottakkaran Sooppy Nisar
author_sort Ilyas Khan
collection DOAJ
description This theoretical study explores MHD convection flow confined to an unbounded vertical plate embedded in a permeable surface under the effect of heat generation and ramp temperature. Solutions of concentration, temperature, and velocity profiles are derived symmetrically by applying non-dimensional parameters along with Laplace transformation (LT) and numerical inversion algorithm. The graphical results for different physical constraints are produced for the velocity profiles. Our results suggest that an incremental value of the M is observed for a decrease in the velocity field, which reflects to control resistive force. Additionally, Atangana-Baleanu (ABC) model is good to explain the dynamics of fluid with better memory effect as compared to other fractional operators.
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spelling doaj.art-702ecb97e7b24e8d8fc62b48c22b7e482022-12-22T00:56:17ZengElsevierJournal of Materials Research and Technology2238-78542020-09-01951001610030Influence in a Darcy's medium with heat production and radiation on MHD convection flow via modern fractional approachIlyas Khan0Syed Tauseef Saeed1Muhammad Bilal Riaz2Kashif Ali Abro3Syed Muhammad Husnine4Kottakkaran Sooppy Nisar5Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah 11952, Saudi Arabia; Corresponding author.Department of Science & Humanities, National University of Computer and Emerging Sciences, Lahore Campus, PakistanDepartment of Mathematics, University of Management and Technology Lahore, Pakistan; Institute for Groundwater Studies (IGS), University of the Free State, South AfricaDepartment of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro, Pakistan; Institute for Groundwater Studies (IGS), University of the Free State, South AfricaDepartment of Science & Humanities, National University of Computer and Emerging Sciences, Lahore Campus, PakistanDepartment of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University Wadi Aldawaser 11991, Saudi ArabiaThis theoretical study explores MHD convection flow confined to an unbounded vertical plate embedded in a permeable surface under the effect of heat generation and ramp temperature. Solutions of concentration, temperature, and velocity profiles are derived symmetrically by applying non-dimensional parameters along with Laplace transformation (LT) and numerical inversion algorithm. The graphical results for different physical constraints are produced for the velocity profiles. Our results suggest that an incremental value of the M is observed for a decrease in the velocity field, which reflects to control resistive force. Additionally, Atangana-Baleanu (ABC) model is good to explain the dynamics of fluid with better memory effect as compared to other fractional operators.http://www.sciencedirect.com/science/article/pii/S2238785420314605MHD convection flowFractional differential operatorChemical reactionThermal effectHeat productionNon-singular kernels
spellingShingle Ilyas Khan
Syed Tauseef Saeed
Muhammad Bilal Riaz
Kashif Ali Abro
Syed Muhammad Husnine
Kottakkaran Sooppy Nisar
Influence in a Darcy's medium with heat production and radiation on MHD convection flow via modern fractional approach
Journal of Materials Research and Technology
MHD convection flow
Fractional differential operator
Chemical reaction
Thermal effect
Heat production
Non-singular kernels
title Influence in a Darcy's medium with heat production and radiation on MHD convection flow via modern fractional approach
title_full Influence in a Darcy's medium with heat production and radiation on MHD convection flow via modern fractional approach
title_fullStr Influence in a Darcy's medium with heat production and radiation on MHD convection flow via modern fractional approach
title_full_unstemmed Influence in a Darcy's medium with heat production and radiation on MHD convection flow via modern fractional approach
title_short Influence in a Darcy's medium with heat production and radiation on MHD convection flow via modern fractional approach
title_sort influence in a darcy s medium with heat production and radiation on mhd convection flow via modern fractional approach
topic MHD convection flow
Fractional differential operator
Chemical reaction
Thermal effect
Heat production
Non-singular kernels
url http://www.sciencedirect.com/science/article/pii/S2238785420314605
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