Mathematical analysis of heat and mass transfer on unsteady stagnation point flow of Riga plate with binary chemical reaction and thermal radiation effects

To aid in the prevention of reaction explosions, chemical engineers and scientists must analyze the Arrhenius kinetics and activation energies of chemical reactions involving binary chemical mixtures. Nanofluids with an Arrhenius kinetic are crucial for a broad variety of uses in the industrial sect...

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Main Authors: Umar Khan, Zafar Mahmood, Sayed M. Eldin, Basim M. Makhdoum, Bandar M. Fadhl, Ahmed Alshehri
Format: Article
Language:English
Published: Elsevier 2023-03-01
Series:Heliyon
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2405844023016791
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author Umar Khan
Zafar Mahmood
Sayed M. Eldin
Basim M. Makhdoum
Bandar M. Fadhl
Ahmed Alshehri
author_facet Umar Khan
Zafar Mahmood
Sayed M. Eldin
Basim M. Makhdoum
Bandar M. Fadhl
Ahmed Alshehri
author_sort Umar Khan
collection DOAJ
description To aid in the prevention of reaction explosions, chemical engineers and scientists must analyze the Arrhenius kinetics and activation energies of chemical reactions involving binary chemical mixtures. Nanofluids with an Arrhenius kinetic are crucial for a broad variety of uses in the industrial sector, involving the manufacture of chemicals, thermoelectric sciences, biomedical devices, polymer extrusion, and the enhancement of thermal systems via technology. The goal of this study is to determine how the presence of thermal radiation influences heat and mass transfer during free convective unsteady stagnation point flow across extending/shrinking vertical Riga plate in the presence of a binary chemical reaction where the activation energy of the reaction is known in advance. For the purpose of obtaining numerical solutions to the mathematical model of the present issue the Runge-Kutta (RK-IV) with shooting technique in Mathematica was used. Heat and mass transfer processes, as well as interrupted flow phenomena, are characterized and explained by diagrams in the suggested suction variables along boundary surface in the stagnation point flow approaching a permeable stretching/shrinking Riga Plate. Graphs illustrated the effects of many other factors on temperature, velocity, concentration, Sherwood and Nusselt number as well as skin friction in detail. Velocity profile increased with Z,λ and S and decreased with ε. Increasing values of ε,λ and S decline the temperature profile. The concentration profile boosts up with Z,α and slow down with ε,Sc,β,δ and n1 parameters. Skin friction profile increased with Z and S and decreased with ε. Nusselt number profile increased with S,Z, ε and radiation. Sherwood number profile shows upsurges with ε,Z,α,Sc,β,S and n1 whereas slow down with δ. So that the verdicts could be confirmed, a study was done to compare the most recent research with the results that had already been published for a certain case. The outcomes demonstrated strong concordance between the two sets of results.
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spelling doaj.art-12ff03cff82a422b957f7645f3e80fd02023-04-05T08:25:46ZengElsevierHeliyon2405-84402023-03-0193e14472Mathematical analysis of heat and mass transfer on unsteady stagnation point flow of Riga plate with binary chemical reaction and thermal radiation effectsUmar Khan0Zafar Mahmood1Sayed M. Eldin2Basim M. Makhdoum3Bandar M. Fadhl4Ahmed Alshehri5Department of Mathematics and Statistics, Hazara University, Mansehra, PakistanDepartment of Mathematics and Statistics, Hazara University, Mansehra, Pakistan; Corresponding author. ;Center of Research, Faculty of Engineering, Future University in Egypt New Cairo 11835, EgyptMechanical Engineering Department, College of Engineering and Islamic Architecture, Umm Al-Qura University, P. O. Box 5555, Makkah 21955, Saudi ArabiaMechanical Engineering Department, College of Engineering and Islamic Architecture, Umm Al-Qura University, P. O. Box 5555, Makkah 21955, Saudi ArabiaDepartment of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah, 21589, Saudi ArabiaTo aid in the prevention of reaction explosions, chemical engineers and scientists must analyze the Arrhenius kinetics and activation energies of chemical reactions involving binary chemical mixtures. Nanofluids with an Arrhenius kinetic are crucial for a broad variety of uses in the industrial sector, involving the manufacture of chemicals, thermoelectric sciences, biomedical devices, polymer extrusion, and the enhancement of thermal systems via technology. The goal of this study is to determine how the presence of thermal radiation influences heat and mass transfer during free convective unsteady stagnation point flow across extending/shrinking vertical Riga plate in the presence of a binary chemical reaction where the activation energy of the reaction is known in advance. For the purpose of obtaining numerical solutions to the mathematical model of the present issue the Runge-Kutta (RK-IV) with shooting technique in Mathematica was used. Heat and mass transfer processes, as well as interrupted flow phenomena, are characterized and explained by diagrams in the suggested suction variables along boundary surface in the stagnation point flow approaching a permeable stretching/shrinking Riga Plate. Graphs illustrated the effects of many other factors on temperature, velocity, concentration, Sherwood and Nusselt number as well as skin friction in detail. Velocity profile increased with Z,λ and S and decreased with ε. Increasing values of ε,λ and S decline the temperature profile. The concentration profile boosts up with Z,α and slow down with ε,Sc,β,δ and n1 parameters. Skin friction profile increased with Z and S and decreased with ε. Nusselt number profile increased with S,Z, ε and radiation. Sherwood number profile shows upsurges with ε,Z,α,Sc,β,S and n1 whereas slow down with δ. So that the verdicts could be confirmed, a study was done to compare the most recent research with the results that had already been published for a certain case. The outcomes demonstrated strong concordance between the two sets of results.http://www.sciencedirect.com/science/article/pii/S2405844023016791Riga plateThermal radiationBinary chemical reactionSuctionStagnation point flowHeat and mass transfer
spellingShingle Umar Khan
Zafar Mahmood
Sayed M. Eldin
Basim M. Makhdoum
Bandar M. Fadhl
Ahmed Alshehri
Mathematical analysis of heat and mass transfer on unsteady stagnation point flow of Riga plate with binary chemical reaction and thermal radiation effects
Heliyon
Riga plate
Thermal radiation
Binary chemical reaction
Suction
Stagnation point flow
Heat and mass transfer
title Mathematical analysis of heat and mass transfer on unsteady stagnation point flow of Riga plate with binary chemical reaction and thermal radiation effects
title_full Mathematical analysis of heat and mass transfer on unsteady stagnation point flow of Riga plate with binary chemical reaction and thermal radiation effects
title_fullStr Mathematical analysis of heat and mass transfer on unsteady stagnation point flow of Riga plate with binary chemical reaction and thermal radiation effects
title_full_unstemmed Mathematical analysis of heat and mass transfer on unsteady stagnation point flow of Riga plate with binary chemical reaction and thermal radiation effects
title_short Mathematical analysis of heat and mass transfer on unsteady stagnation point flow of Riga plate with binary chemical reaction and thermal radiation effects
title_sort mathematical analysis of heat and mass transfer on unsteady stagnation point flow of riga plate with binary chemical reaction and thermal radiation effects
topic Riga plate
Thermal radiation
Binary chemical reaction
Suction
Stagnation point flow
Heat and mass transfer
url http://www.sciencedirect.com/science/article/pii/S2405844023016791
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