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Volume 12
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10.3390/coatings12020151
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Article

Chemical Reactive and Viscous Dissipative Flow of Magneto Nanofluid via Natural Convection by Employing Galerkin Finite Element Technique

by
Shankar Goud Bejawada
1,
Wasim Jamshed
2,
Rabia Safdar
3,
Yanala Dharmendar Reddy
4,
Meznah M. Alanazi
5,
Heba Y. Zahran
6,7 and
Mohamed R. Eid
8,9,*
1
Department of Mathematics, JNTUH College of Engineering Hyderabad Kukatpally, Hyderabad 500085, Telangana, India
2
Department of Mathematics, Capital University of Science and Technology (CUST), Islamabad 44000, Pakistan
3
Department of Mathematics, Lahore College for Women University, Lahore 54000, Pakistan
4
Department of Mathematics, Anurag University, Venkatapur, Hyderabad 500088, India
5
Department of Physics, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
6
Laboratory of Nano-Smart Materials for Science and Technology (LNSMST), Department of Physics, Faculty of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia
7
Nanoscience Laboratory for Environmental and Biomedical Applications (NLEBA), Metallurgical Lab. 1, Department of Physics, Faculty of Education, Ain Shams University, Roxy, Cairo 11757, Egypt
8
Department of Mathematics, Faculty of Science, New Valley University, Al-Kharga 72511, Al-Wadi Al-Gadid, Egypt
9
Department of Mathematics, Faculty of Science, Northern Border University, Arar 1321, Saudi Arabia
*
Author to whom correspondence should be addressed.
Coatings 2022, 12(2), 151; https://doi.org/10.3390/coatings12020151
Submission received: 12 December 2021 / Revised: 19 January 2022 / Accepted: 20 January 2022 / Published: 26 January 2022
(This article belongs to the Special Issue Nanofluidics: Interfacial Transport Phenomena)
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Abstract

A numerical study of chemically reactive effects on Magnetohydrodynamics (MHD) free convective unsteady flowing over an inclined plate in a porousness material in the existence of viscous dissipation was studied. The nondimensional principal equations are time dependent coupled and non-linear partial differential equations (PDEs) are solved by the efficacy finite element method (FEM). As well, the computational relationships of speed, energy, and concentricity in the form of Galerkin finite element were obtained. Calculations are achieved with a wide range of key flow parameters, namely, the angle of inclination (α), permeability parameter k, magnetic parameter (M), buoyancy ratio parameter (N), Schmidt number (Sc), Eckert number (Ec), Prandtl number (Pr), chemical factor (Kr) on speed, and concentricity and temperature fields are examined in detail with the assistance of diagrams.
Keywords: inclined plate; MHD; heat and mass transport; chemically reactive species; finite-element method inclined plate; MHD; heat and mass transport; chemically reactive species; finite-element method

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MDPI and ACS Style

Bejawada, S.G.; Jamshed, W.; Safdar, R.; Reddy, Y.D.; M. Alanazi, M.; Zahran, H.Y.; Eid, M.R. Chemical Reactive and Viscous Dissipative Flow of Magneto Nanofluid via Natural Convection by Employing Galerkin Finite Element Technique. Coatings 2022, 12, 151. https://doi.org/10.3390/coatings12020151

AMA Style

Bejawada SG, Jamshed W, Safdar R, Reddy YD, M. Alanazi M, Zahran HY, Eid MR. Chemical Reactive and Viscous Dissipative Flow of Magneto Nanofluid via Natural Convection by Employing Galerkin Finite Element Technique. Coatings. 2022; 12(2):151. https://doi.org/10.3390/coatings12020151

Chicago/Turabian Style

Bejawada, Shankar Goud, Wasim Jamshed, Rabia Safdar, Yanala Dharmendar Reddy, Meznah M. Alanazi, Heba Y. Zahran, and Mohamed R. Eid. 2022. "Chemical Reactive and Viscous Dissipative Flow of Magneto Nanofluid via Natural Convection by Employing Galerkin Finite Element Technique" Coatings 12, no. 2: 151. https://doi.org/10.3390/coatings12020151

APA Style

Bejawada, S. G., Jamshed, W., Safdar, R., Reddy, Y. D., M. Alanazi, M., Zahran, H. Y., & Eid, M. R. (2022). Chemical Reactive and Viscous Dissipative Flow of Magneto Nanofluid via Natural Convection by Employing Galerkin Finite Element Technique. Coatings, 12(2), 151. https://doi.org/10.3390/coatings12020151

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