MHD flow of a generalized Casson fluid with Newtonian heating: A fractional model with Mittag–Leffler memory
Modelling for many physical phenomena is greatly influenced by the usage of a fractional operator involving Mittag–Leffler function. The current investigation is concerned with an application of this modern fractional operator to analyze the Newtonian heating effects for the generalized Casson fluid...
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doaj-2706670ca89247ab8f980ed934d280842021-06-02T09:04:45ZengElsevierAlexandria Engineering Journal1110-01682020-10-0159530493059MHD flow of a generalized Casson fluid with Newtonian heating: A fractional model with Mittag–Leffler memoryAsifa Tassaddiq0Ilyas Khan1Kottakkaran Sooppy Nisar2Jagdev Singh3Department of Basic Sciences and Humanities, College of Computer and Information Sciences Majmaah University, Al-Majmaah 11952, Saudi Arabia; Corresponding author.Department of Mathematics, College of Science Al-Zulfi Majmaah University, Al-Majmaah 11952, Saudi ArabiaDepartment of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi ArabiaDepartment of Mathematics, JECRC University, Jaipur 303905, Rajasthan, IndiaModelling for many physical phenomena is greatly influenced by the usage of a fractional operator involving Mittag–Leffler function. The current investigation is concerned with an application of this modern fractional operator to analyze the Newtonian heating effects for the generalized Casson fluid flow. Magnetohydrodynamic (MHD) and porous effects for such fluids are also under consideration in this research. The main problem is modeled as partial differential equations. The “Velocity” and “Temperature” functions are attained by using the analytic tool namely Laplace transform. The analysis of the used modelling parameters has been made by using graphical representations. The numerical computations are performed to validate the data. The graphical results confirm that velocity diminishes obviously with an intensification of the magnetic parameter and grows with the rise of the porosity parameter (conjugate parameter). Fluid flow is controllable for all possible values of the Casson parameter. A special case of the main solution is discussed that reduces to Newtonian fluid.http://www.sciencedirect.com/science/article/pii/S1110016820302477Newtonian HeatingCasson FluidFractional OperatorMHDPorous |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Asifa Tassaddiq Ilyas Khan Kottakkaran Sooppy Nisar Jagdev Singh |
spellingShingle |
Asifa Tassaddiq Ilyas Khan Kottakkaran Sooppy Nisar Jagdev Singh MHD flow of a generalized Casson fluid with Newtonian heating: A fractional model with Mittag–Leffler memory Alexandria Engineering Journal Newtonian Heating Casson Fluid Fractional Operator MHD Porous |
author_facet |
Asifa Tassaddiq Ilyas Khan Kottakkaran Sooppy Nisar Jagdev Singh |
author_sort |
Asifa Tassaddiq |
title |
MHD flow of a generalized Casson fluid with Newtonian heating: A fractional model with Mittag–Leffler memory |
title_short |
MHD flow of a generalized Casson fluid with Newtonian heating: A fractional model with Mittag–Leffler memory |
title_full |
MHD flow of a generalized Casson fluid with Newtonian heating: A fractional model with Mittag–Leffler memory |
title_fullStr |
MHD flow of a generalized Casson fluid with Newtonian heating: A fractional model with Mittag–Leffler memory |
title_full_unstemmed |
MHD flow of a generalized Casson fluid with Newtonian heating: A fractional model with Mittag–Leffler memory |
title_sort |
mhd flow of a generalized casson fluid with newtonian heating: a fractional model with mittag–leffler memory |
publisher |
Elsevier |
series |
Alexandria Engineering Journal |
issn |
1110-0168 |
publishDate |
2020-10-01 |
description |
Modelling for many physical phenomena is greatly influenced by the usage of a fractional operator involving Mittag–Leffler function. The current investigation is concerned with an application of this modern fractional operator to analyze the Newtonian heating effects for the generalized Casson fluid flow. Magnetohydrodynamic (MHD) and porous effects for such fluids are also under consideration in this research. The main problem is modeled as partial differential equations. The “Velocity” and “Temperature” functions are attained by using the analytic tool namely Laplace transform. The analysis of the used modelling parameters has been made by using graphical representations. The numerical computations are performed to validate the data. The graphical results confirm that velocity diminishes obviously with an intensification of the magnetic parameter and grows with the rise of the porosity parameter (conjugate parameter). Fluid flow is controllable for all possible values of the Casson parameter. A special case of the main solution is discussed that reduces to Newtonian fluid. |
topic |
Newtonian Heating Casson Fluid Fractional Operator MHD Porous |
url |
http://www.sciencedirect.com/science/article/pii/S1110016820302477 |
work_keys_str_mv |
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