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 in | Propulsion and Power Research Vol. 10; no. 3; pp. 303 - 313 |
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Format | Journal Article |
Language | English |
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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. |
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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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Cites_doi | 10.1007/s10409-012-0052-4 10.1016/0142-727X(94)90053-1 10.1007/s42452-020-2167-8 10.1016/0735-1933(83)90016-7 10.1063/1.1694041 10.1186/s40064-015-1097-1 10.1016/j.jksus.2016.05.003 10.1016/j.jnnms.2015.04.001 10.1016/j.physa.2019.123562 10.1016/S0017-9310(01)00342-8 10.1007/s00231-012-1107-6 10.1007/s00231-010-0594-6 10.1155/2015/358053 10.1002/htj.21641 10.1515/ijame-2017-0036 10.1016/j.aej.2016.08.035 10.1016/j.csite.2019.100482 10.1063/1.1724410 10.1115/1.4003902 10.1016/j.rinp.2017.12.067 10.1016/S0020-7225(99)00134-2 10.1615/InterJFluidMechRes.v34.i6.40 10.1016/j.molliq.2016.02.093 10.1002/htj.21143 10.1080/01430750.2019.1694585 10.1016/j.aej.2015.03.029 10.1088/1742-6596/1366/1/012008 10.1142/S0129183120501259 10.1016/j.asej.2016.06.001 10.1016/j.aej.2015.07.007 |
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Keywords | Newtonian heating/cooling Magnetohydrodynamics Thermal radiation Skin friction Induced magnetic field |
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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 |
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