Upshot of Slip Velocity and Thermal Radiation on Magnetohydrodynamic Transient Fluid Flow Through Vertical Walls

Bashiru Abdullahi; Isah Bala Yabo; Ibrahim Yakubu Seini; Murtala Muhammed Hamza

doi:doi:10.11648/j.ijtam.20220803.13

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Upshot of Slip Velocity and Thermal Radiation on Magnetohydrodynamic Transient Fluid Flow Through Vertical Walls

Bashiru Abdullahi, Isah Bala Yabo, Ibrahim Yakubu Seini, Murtala Muhammed Hamza

Published in International Journal of Theoretical and Applied Mathematics (Volume 8, Issue 3)

Received: 16 February 2022 Accepted: 7 March 2022 Published: 29 September 2022

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Abstract

Transient MHD heat transfer within radiative channel due to convective boundary and slip velocity is considered. Non-linear Roseland approximation was used to describe the radiative heat flux in the energy equation where the magnetic field is combined in the momentum equation. The solution of the governing differential equation that described the flow was solved using the Perturbation method in order to obtain the analytical solution which was used to confirm the validity of the numerical solution. The finite difference method was employed to find the numerical solution of the governing equations. The heat transfer device of the present work establishes the influence of Biot number, slip parameter (λ), magnetizing parameter, radiation parameter, temperature difference, Grashof number and time on velocity, temperature, skin friction, and Nusselt number. The results established were discoursed with the aid of line graphs. The steady-state solution was in perfect agreement with the transient form for the weighty value of time t. It is exciting to report that the convective boundary condition and slip velocity has a strong impact on the flow parameters.

Published in	International Journal of Theoretical and Applied Mathematics (Volume 8, Issue 3)
DOI	10.11648/j.ijtam.20220803.13
Page(s)	65-77
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2022. Published by Science Publishing Group

Keywords

MHD, Slip Velocity, Thermal Radiation, Heat Transfer, Convective Boundary Condition

References

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APA Style

Bashiru Abdullahi, Isah Bala Yabo, Ibrahim Yakubu Seini, Murtala Muhammed Hamza. (2022). Upshot of Slip Velocity and Thermal Radiation on Magnetohydrodynamic Transient Fluid Flow Through Vertical Walls. International Journal of Theoretical and Applied Mathematics, 8(3), 65-77. https://doi.org/10.11648/j.ijtam.20220803.13

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ACS Style

Bashiru Abdullahi; Isah Bala Yabo; Ibrahim Yakubu Seini; Murtala Muhammed Hamza. Upshot of Slip Velocity and Thermal Radiation on Magnetohydrodynamic Transient Fluid Flow Through Vertical Walls. Int. J. Theor. Appl. Math. 2022, 8(3), 65-77. doi: 10.11648/j.ijtam.20220803.13

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AMA Style

Bashiru Abdullahi, Isah Bala Yabo, Ibrahim Yakubu Seini, Murtala Muhammed Hamza. Upshot of Slip Velocity and Thermal Radiation on Magnetohydrodynamic Transient Fluid Flow Through Vertical Walls. Int J Theor Appl Math. 2022;8(3):65-77. doi: 10.11648/j.ijtam.20220803.13

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@article{10.11648/j.ijtam.20220803.13,
  author = {Bashiru Abdullahi and Isah Bala Yabo and Ibrahim Yakubu Seini and Murtala Muhammed Hamza},
  title = {Upshot of Slip Velocity and Thermal Radiation on Magnetohydrodynamic Transient Fluid Flow Through Vertical Walls},
  journal = {International Journal of Theoretical and Applied Mathematics},
  volume = {8},
  number = {3},
  pages = {65-77},
  doi = {10.11648/j.ijtam.20220803.13},
  url = {https://doi.org/10.11648/j.ijtam.20220803.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijtam.20220803.13},
  abstract = {Transient MHD heat transfer within radiative channel due to convective boundary and slip velocity is considered. Non-linear Roseland approximation was used to describe the radiative heat flux in the energy equation where the magnetic field is combined in the momentum equation. The solution of the governing differential equation that described the flow was solved using the Perturbation method in order to obtain the analytical solution which was used to confirm the validity of the numerical solution. The finite difference method was employed to find the numerical solution of the governing equations. The heat transfer device of the present work establishes the influence of Biot number, slip parameter (λ), magnetizing parameter, radiation parameter, temperature difference, Grashof number and time on velocity, temperature, skin friction, and Nusselt number. The results established were discoursed with the aid of line graphs. The steady-state solution was in perfect agreement with the transient form for the weighty value of time t. It is exciting to report that the convective boundary condition and slip velocity has a strong impact on the flow parameters.},
 year = {2022}
}

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TY  - JOUR
T1  - Upshot of Slip Velocity and Thermal Radiation on Magnetohydrodynamic Transient Fluid Flow Through Vertical Walls
AU  - Bashiru Abdullahi
AU  - Isah Bala Yabo
AU  - Ibrahim Yakubu Seini
AU  - Murtala Muhammed Hamza
Y1  - 2022/09/29
PY  - 2022
N1  - https://doi.org/10.11648/j.ijtam.20220803.13
DO  - 10.11648/j.ijtam.20220803.13
T2  - International Journal of Theoretical and Applied Mathematics
JF  - International Journal of Theoretical and Applied Mathematics
JO  - International Journal of Theoretical and Applied Mathematics
SP  - 65
EP  - 77
PB  - Science Publishing Group
SN  - 2575-5080
UR  - https://doi.org/10.11648/j.ijtam.20220803.13
AB  - Transient MHD heat transfer within radiative channel due to convective boundary and slip velocity is considered. Non-linear Roseland approximation was used to describe the radiative heat flux in the energy equation where the magnetic field is combined in the momentum equation. The solution of the governing differential equation that described the flow was solved using the Perturbation method in order to obtain the analytical solution which was used to confirm the validity of the numerical solution. The finite difference method was employed to find the numerical solution of the governing equations. The heat transfer device of the present work establishes the influence of Biot number, slip parameter (λ), magnetizing parameter, radiation parameter, temperature difference, Grashof number and time on velocity, temperature, skin friction, and Nusselt number. The results established were discoursed with the aid of line graphs. The steady-state solution was in perfect agreement with the transient form for the weighty value of time t. It is exciting to report that the convective boundary condition and slip velocity has a strong impact on the flow parameters.
VL  - 8
IS  - 3
ER  -

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Author Information

Bashiru Abdullahi

Department of Mathematics and Statistics, Abdu Gusau Polytechnic, Talata Mafara, Nigeria
Isah Bala Yabo

Department of Mathematics, Usman Danfodiyo University, Sokoto, Nigeria
Ibrahim Yakubu Seini

Department of Mechanical Engineering, School of Engineering, University for Development Studies, Tamale, Ghana
Murtala Muhammed Hamza

Department of Mathematics, Usman Danfodiyo University, Sokoto, Nigeria

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APA Style

Bashiru Abdullahi, Isah Bala Yabo, Ibrahim Yakubu Seini, Murtala Muhammed Hamza. (2022). Upshot of Slip Velocity and Thermal Radiation on Magnetohydrodynamic Transient Fluid Flow Through Vertical Walls. International Journal of Theoretical and Applied Mathematics, 8(3), 65-77. https://doi.org/10.11648/j.ijtam.20220803.13

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ACS Style

Bashiru Abdullahi; Isah Bala Yabo; Ibrahim Yakubu Seini; Murtala Muhammed Hamza. Upshot of Slip Velocity and Thermal Radiation on Magnetohydrodynamic Transient Fluid Flow Through Vertical Walls. Int. J. Theor. Appl. Math. 2022, 8(3), 65-77. doi: 10.11648/j.ijtam.20220803.13

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AMA Style

Bashiru Abdullahi, Isah Bala Yabo, Ibrahim Yakubu Seini, Murtala Muhammed Hamza. Upshot of Slip Velocity and Thermal Radiation on Magnetohydrodynamic Transient Fluid Flow Through Vertical Walls. Int J Theor Appl Math. 2022;8(3):65-77. doi: 10.11648/j.ijtam.20220803.13

Copy | Download

@article{10.11648/j.ijtam.20220803.13,
  author = {Bashiru Abdullahi and Isah Bala Yabo and Ibrahim Yakubu Seini and Murtala Muhammed Hamza},
  title = {Upshot of Slip Velocity and Thermal Radiation on Magnetohydrodynamic Transient Fluid Flow Through Vertical Walls},
  journal = {International Journal of Theoretical and Applied Mathematics},
  volume = {8},
  number = {3},
  pages = {65-77},
  doi = {10.11648/j.ijtam.20220803.13},
  url = {https://doi.org/10.11648/j.ijtam.20220803.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijtam.20220803.13},
  abstract = {Transient MHD heat transfer within radiative channel due to convective boundary and slip velocity is considered. Non-linear Roseland approximation was used to describe the radiative heat flux in the energy equation where the magnetic field is combined in the momentum equation. The solution of the governing differential equation that described the flow was solved using the Perturbation method in order to obtain the analytical solution which was used to confirm the validity of the numerical solution. The finite difference method was employed to find the numerical solution of the governing equations. The heat transfer device of the present work establishes the influence of Biot number, slip parameter (λ), magnetizing parameter, radiation parameter, temperature difference, Grashof number and time on velocity, temperature, skin friction, and Nusselt number. The results established were discoursed with the aid of line graphs. The steady-state solution was in perfect agreement with the transient form for the weighty value of time t. It is exciting to report that the convective boundary condition and slip velocity has a strong impact on the flow parameters.},
 year = {2022}
}

Copy | Download

TY  - JOUR
T1  - Upshot of Slip Velocity and Thermal Radiation on Magnetohydrodynamic Transient Fluid Flow Through Vertical Walls
AU  - Bashiru Abdullahi
AU  - Isah Bala Yabo
AU  - Ibrahim Yakubu Seini
AU  - Murtala Muhammed Hamza
Y1  - 2022/09/29
PY  - 2022
N1  - https://doi.org/10.11648/j.ijtam.20220803.13
DO  - 10.11648/j.ijtam.20220803.13
T2  - International Journal of Theoretical and Applied Mathematics
JF  - International Journal of Theoretical and Applied Mathematics
JO  - International Journal of Theoretical and Applied Mathematics
SP  - 65
EP  - 77
PB  - Science Publishing Group
SN  - 2575-5080
UR  - https://doi.org/10.11648/j.ijtam.20220803.13
AB  - Transient MHD heat transfer within radiative channel due to convective boundary and slip velocity is considered. Non-linear Roseland approximation was used to describe the radiative heat flux in the energy equation where the magnetic field is combined in the momentum equation. The solution of the governing differential equation that described the flow was solved using the Perturbation method in order to obtain the analytical solution which was used to confirm the validity of the numerical solution. The finite difference method was employed to find the numerical solution of the governing equations. The heat transfer device of the present work establishes the influence of Biot number, slip parameter (λ), magnetizing parameter, radiation parameter, temperature difference, Grashof number and time on velocity, temperature, skin friction, and Nusselt number. The results established were discoursed with the aid of line graphs. The steady-state solution was in perfect agreement with the transient form for the weighty value of time t. It is exciting to report that the convective boundary condition and slip velocity has a strong impact on the flow parameters.
VL  - 8
IS  - 3
ER  -

Copy | Download