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

Ilyas Khan; Syed Tauseef Saeed; Muhammad Bilal Riaz; Kashif Ali Abro; Syed Muhammad Husnine; Kottakkaran Sooppy Nisar

doi:10.1016/j.jmrt.2020.06.059

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

Ilyas Khan
, Syed Tauseef Saeed
, Muhammad Bilal Riaz
, Kashif Ali Abro
, Syed Muhammad Husnine
, Kottakkaran Sooppy Nisar

Mathematics

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	10016-10030
Number of pages	15
Journal	Journal of Materials Research and Technology
Volume	9
Issue number	5
DOIs	https://doi.org/10.1016/j.jmrt.2020.06.059
State	Published - 2020

Keywords

Chemical reaction
Fractional differential operator
Heat production
MHD convection flow
Non-singular kernels
Thermal effect

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10.1016/j.jmrt.2020.06.059

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

abstract = "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.",

keywords = "Chemical reaction, Fractional differential operator, Heat production, MHD convection flow, Non-singular kernels, Thermal effect",

author = "Ilyas Khan and Saeed, \{Syed Tauseef\} and Riaz, \{Muhammad Bilal\} and Abro, \{Kashif Ali\} and Husnine, \{Syed Muhammad\} and Nisar, \{Kottakkaran Sooppy\}",

note = "Publisher Copyright: {\textcopyright} 2020 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).",

year = "2020",

doi = "10.1016/j.jmrt.2020.06.059",

language = "English",

volume = "9",

pages = "10016--10030",

journal = "Journal of Materials Research and Technology",

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T1 - Influence in a Darcy's medium with heat production and radiation on MHD convection flow via modern fractional approach

AU - Khan, Ilyas

AU - Saeed, Syed Tauseef

AU - Riaz, Muhammad Bilal

AU - Abro, Kashif Ali

AU - Husnine, Syed Muhammad

AU - Nisar, Kottakkaran Sooppy

PY - 2020

Y1 - 2020

N2 - 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.

AB - 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.

KW - Chemical reaction

KW - Fractional differential operator

KW - Heat production

KW - MHD convection flow

KW - Non-singular kernels

KW - Thermal effect

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DO - 10.1016/j.jmrt.2020.06.059

M3 - Article

AN - SCOPUS:85093964630

SN - 2238-7854

VL - 9

SP - 10016

EP - 10030

JO - Journal of Materials Research and Technology

JF - Journal of Materials Research and Technology

IS - 5

ER -

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

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Keywords

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