Radiation effect on magnetohydrodynamic flow with induced magnetic field and Newtonian heating/cooling: an analytic approach

The aim of the present analysis concerns the magnetohydrodynamic flow of fluid which is natural convective and electrically charged through two vertical insulated walls. Influences of radiative heat flux, induced magnetic field, and the Newtonian heating/cooling are taken. We found exact expressions...

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Published inPropulsion and Power Research Vol. 10; no. 3; pp. 303 - 313
Main Author Kumar, Dileep
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.09.2021
KeAi Communications Co., Ltd
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Abstract The aim of the present analysis concerns the magnetohydrodynamic flow of fluid which is natural convective and electrically charged through two vertical insulated walls. Influences of radiative heat flux, induced magnetic field, and the Newtonian heating/cooling are taken. We found exact expressions for the temperature field, the velocity field, and the induced magnetic field by solving the set of dimensionless coupled governing equations. Further, we obtained the equations for induced current density, Nusselt number, skin frictions as well as mass flux. The influences of the several constraints like the magnetic, the radiation and the Newtonian heating/cooling on the profiles of the velocity, the temperature field, the induced magnetic field as well as the current density display with graphics. Moreover, the influence of these non-dimensional parameters on the skin frictions, the Nusselt number, and the mass flux is explored in tabular form. The outcome of the radiation raised the velocity, the temperature field, the induced magnetic field and the current density field in view of enhancing the thickness of the boundary layer. Also, the impact of Newtonian heating is to raise the velocity, temperature, induced magnetic field and induced current density, whereas all these fields have opposite behaviors in case of Newtonian cooling.
AbstractList The aim of the present analysis concerns the magnetohydrodynamic flow of fluid which is natural convective and electrically charged through two vertical insulated walls. Influences of radiative heat flux, induced magnetic field, and the Newtonian heating/cooling are taken. We found exact expressions for the temperature field, the velocity field, and the induced magnetic field by solving the set of dimensionless coupled governing equations. Further, we obtained the equations for induced current density, Nusselt number, skin frictions as well as mass flux. The influences of the several constraints like the magnetic, the radiation and the Newtonian heating/cooling on the profiles of the velocity, the temperature field, the induced magnetic field as well as the current density display with graphics. Moreover, the influence of these non-dimensional parameters on the skin frictions, the Nusselt number, and the mass flux is explored in tabular form. The outcome of the radiation raised the velocity, the temperature field, the induced magnetic field and the current density field in view of enhancing the thickness of the boundary layer. Also, the impact of Newtonian heating is to raise the velocity, temperature, induced magnetic field and induced current density, whereas all these fields have opposite behaviors in case of Newtonian cooling.
Author Kumar, Dileep
Author_xml – sequence: 1
  givenname: Dileep
  surname: Kumar
  fullname: Kumar, Dileep
  email: dileepkumar0204@gmail.com
  organization: Department of Mathematics, School of Sciences, National Institute of Technology Andhra Pradesh, Tadepalligudem, 534101, India
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Issue 3
Keywords Newtonian heating/cooling
Magnetohydrodynamics
Thermal radiation
Skin friction
Induced magnetic field
Language English
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Snippet The aim of the present analysis concerns the magnetohydrodynamic flow of fluid which is natural convective and electrically charged through two vertical...
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SubjectTerms Induced magnetic field
Magnetohydrodynamics
Newtonian heating/cooling
Skin friction
Thermal radiation
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Title Radiation effect on magnetohydrodynamic flow with induced magnetic field and Newtonian heating/cooling: an analytic approach
URI https://dx.doi.org/10.1016/j.jppr.2021.07.001
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