Hydrodynamic Boundary Layer Flow of Chemically Reactive Fluid over Exponentially Stretching Vertical Surface with Transverse Magnetic Field in Unsteady Porous Medium

This article addresses the hydrodynamic boundary layer flow of a chemically reactive fluid over an exponentially stretching vertical surface with transverse magnetic field in an unsteady porous medium. The flow problem is modelled as time depended dimensional partial differential equations which are...

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Main Authors: M. Sulemana, I. Y. Seini, O. D. Makinde
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2022/7568695
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author M. Sulemana
I. Y. Seini
O. D. Makinde
author_facet M. Sulemana
I. Y. Seini
O. D. Makinde
author_sort M. Sulemana
collection DOAJ
description This article addresses the hydrodynamic boundary layer flow of a chemically reactive fluid over an exponentially stretching vertical surface with transverse magnetic field in an unsteady porous medium. The flow problem is modelled as time depended dimensional partial differential equations which are transformed to dimensionless equations and solved by means of approximate analytic method. The results are illustrated graphically and numerically and compared with previously published results which shown a good agreement. Physically increasing Eckert number of a fluid amplifies the kinetic energy of the fluid, and as a novelty, the Eckert number under the influence of chemically reactive magnetic field is effective in controlling the kinematics of hydrodynamic boundary layer flow in porous medium. Interestingly, whilst the Eckert number amplifies the thermal boundary layer thickness and velocity as well as the concentration of the fluid, the presence of the magnetic field and the strength of the chemical reaction have a retarding effect on the flow. Also, the chemical reaction parameter and permeability of porous medium are effective in reducing skin friction in chemically reactive magnetic porous medium and are relevant in practice because reduced skin friction enhances the efficiency of a system. The results of the current study are useful in solar energy collector systems and materials processing.
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institution Kabale University
issn 1687-0042
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publishDate 2022-01-01
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spelling doaj-art-f6e3ff830f9b495d8ce146bdc0e84a102025-02-03T01:33:27ZengWileyJournal of Applied Mathematics1687-00422022-01-01202210.1155/2022/7568695Hydrodynamic Boundary Layer Flow of Chemically Reactive Fluid over Exponentially Stretching Vertical Surface with Transverse Magnetic Field in Unsteady Porous MediumM. Sulemana0I. Y. Seini1O. D. Makinde2Department of MathematicsSchool of EngineeringFaculty of Military ScienceThis article addresses the hydrodynamic boundary layer flow of a chemically reactive fluid over an exponentially stretching vertical surface with transverse magnetic field in an unsteady porous medium. The flow problem is modelled as time depended dimensional partial differential equations which are transformed to dimensionless equations and solved by means of approximate analytic method. The results are illustrated graphically and numerically and compared with previously published results which shown a good agreement. Physically increasing Eckert number of a fluid amplifies the kinetic energy of the fluid, and as a novelty, the Eckert number under the influence of chemically reactive magnetic field is effective in controlling the kinematics of hydrodynamic boundary layer flow in porous medium. Interestingly, whilst the Eckert number amplifies the thermal boundary layer thickness and velocity as well as the concentration of the fluid, the presence of the magnetic field and the strength of the chemical reaction have a retarding effect on the flow. Also, the chemical reaction parameter and permeability of porous medium are effective in reducing skin friction in chemically reactive magnetic porous medium and are relevant in practice because reduced skin friction enhances the efficiency of a system. The results of the current study are useful in solar energy collector systems and materials processing.http://dx.doi.org/10.1155/2022/7568695
spellingShingle M. Sulemana
I. Y. Seini
O. D. Makinde
Hydrodynamic Boundary Layer Flow of Chemically Reactive Fluid over Exponentially Stretching Vertical Surface with Transverse Magnetic Field in Unsteady Porous Medium
Journal of Applied Mathematics
title Hydrodynamic Boundary Layer Flow of Chemically Reactive Fluid over Exponentially Stretching Vertical Surface with Transverse Magnetic Field in Unsteady Porous Medium
title_full Hydrodynamic Boundary Layer Flow of Chemically Reactive Fluid over Exponentially Stretching Vertical Surface with Transverse Magnetic Field in Unsteady Porous Medium
title_fullStr Hydrodynamic Boundary Layer Flow of Chemically Reactive Fluid over Exponentially Stretching Vertical Surface with Transverse Magnetic Field in Unsteady Porous Medium
title_full_unstemmed Hydrodynamic Boundary Layer Flow of Chemically Reactive Fluid over Exponentially Stretching Vertical Surface with Transverse Magnetic Field in Unsteady Porous Medium
title_short Hydrodynamic Boundary Layer Flow of Chemically Reactive Fluid over Exponentially Stretching Vertical Surface with Transverse Magnetic Field in Unsteady Porous Medium
title_sort hydrodynamic boundary layer flow of chemically reactive fluid over exponentially stretching vertical surface with transverse magnetic field in unsteady porous medium
url http://dx.doi.org/10.1155/2022/7568695
work_keys_str_mv AT msulemana hydrodynamicboundarylayerflowofchemicallyreactivefluidoverexponentiallystretchingverticalsurfacewithtransversemagneticfieldinunsteadyporousmedium
AT iyseini hydrodynamicboundarylayerflowofchemicallyreactivefluidoverexponentiallystretchingverticalsurfacewithtransversemagneticfieldinunsteadyporousmedium
AT odmakinde hydrodynamicboundarylayerflowofchemicallyreactivefluidoverexponentiallystretchingverticalsurfacewithtransversemagneticfieldinunsteadyporousmedium