On a Couette Flow of Conducting Fluid

Isah Bala Yabo; Basant Kumar Jha; Jeng-Eng Lin

doi:doi:10.11648/j.ijtam.20180401.12

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On a Couette Flow of Conducting Fluid

Isah Bala Yabo, Basant Kumar Jha, Jeng-Eng Lin

Published in International Journal of Theoretical and Applied Mathematics (Volume 4, Issue 1)

Received: 24 October 2017 Accepted: 20 April 2018 Published: 21 May 2018

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Abstract

We discuss the thermal radiation effect on unsteady free-convective Couette flow of conducting fluid in the presence of transverse magnetic field. The mathematical model is highly nonlinear due to the effect of the thermal radiation. Both numerical solution by the finite difference method and the analytical solution of the steady state by the perturbation method are presented. The numerical solution at large time agrees with the analytic solution of the steady state.

Published in	International Journal of Theoretical and Applied Mathematics (Volume 4, Issue 1)
DOI	10.11648/j.ijtam.20180401.12
Page(s)	8-21
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), 2018. Published by Science Publishing Group

Keywords

Transverse Magnetic Field, Thermal Radiation, Couette Flow

References

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APA Style

Isah Bala Yabo, Basant Kumar Jha, Jeng-Eng Lin. (2018). On a Couette Flow of Conducting Fluid. International Journal of Theoretical and Applied Mathematics, 4(1), 8-21. https://doi.org/10.11648/j.ijtam.20180401.12

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ACS Style

Isah Bala Yabo; Basant Kumar Jha; Jeng-Eng Lin. On a Couette Flow of Conducting Fluid. Int. J. Theor. Appl. Math. 2018, 4(1), 8-21. doi: 10.11648/j.ijtam.20180401.12

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AMA Style

Isah Bala Yabo, Basant Kumar Jha, Jeng-Eng Lin. On a Couette Flow of Conducting Fluid. Int J Theor Appl Math. 2018;4(1):8-21. doi: 10.11648/j.ijtam.20180401.12

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@article{10.11648/j.ijtam.20180401.12,
  author = {Isah Bala Yabo and Basant Kumar Jha and Jeng-Eng Lin},
  title = {On a Couette Flow of Conducting Fluid},
  journal = {International Journal of Theoretical and Applied Mathematics},
  volume = {4},
  number = {1},
  pages = {8-21},
  doi = {10.11648/j.ijtam.20180401.12},
  url = {https://doi.org/10.11648/j.ijtam.20180401.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijtam.20180401.12},
  abstract = {We discuss the thermal radiation effect on unsteady free-convective Couette flow of conducting fluid in the presence of transverse magnetic field. The mathematical model is highly nonlinear due to the effect of the thermal radiation. Both numerical solution by the finite difference method and the analytical solution of the steady state by the perturbation method are presented. The numerical solution at large time agrees with the analytic solution of the steady state.},
 year = {2018}
}

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TY  - JOUR
T1  - On a Couette Flow of Conducting Fluid
AU  - Isah Bala Yabo
AU  - Basant Kumar Jha
AU  - Jeng-Eng Lin
Y1  - 2018/05/21
PY  - 2018
N1  - https://doi.org/10.11648/j.ijtam.20180401.12
DO  - 10.11648/j.ijtam.20180401.12
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  - 8
EP  - 21
PB  - Science Publishing Group
SN  - 2575-5080
UR  - https://doi.org/10.11648/j.ijtam.20180401.12
AB  - We discuss the thermal radiation effect on unsteady free-convective Couette flow of conducting fluid in the presence of transverse magnetic field. The mathematical model is highly nonlinear due to the effect of the thermal radiation. Both numerical solution by the finite difference method and the analytical solution of the steady state by the perturbation method are presented. The numerical solution at large time agrees with the analytic solution of the steady state.
VL  - 4
IS  - 1
ER  -

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Author Information

Isah Bala Yabo

Department of Mathematics, Usmanu Danfodiyo University, Sokoto, Nigeria
Basant Kumar Jha

Department of Mathematics, Ahmadu Bello University, Zaria, Nigeria
Jeng-Eng Lin

Department of Mathematics and Statistics, Georgetown University, Washington DC, USA

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APA Style

Isah Bala Yabo, Basant Kumar Jha, Jeng-Eng Lin. (2018). On a Couette Flow of Conducting Fluid. International Journal of Theoretical and Applied Mathematics, 4(1), 8-21. https://doi.org/10.11648/j.ijtam.20180401.12

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ACS Style

Isah Bala Yabo; Basant Kumar Jha; Jeng-Eng Lin. On a Couette Flow of Conducting Fluid. Int. J. Theor. Appl. Math. 2018, 4(1), 8-21. doi: 10.11648/j.ijtam.20180401.12

Copy | Download

AMA Style

Isah Bala Yabo, Basant Kumar Jha, Jeng-Eng Lin. On a Couette Flow of Conducting Fluid. Int J Theor Appl Math. 2018;4(1):8-21. doi: 10.11648/j.ijtam.20180401.12

Copy | Download

@article{10.11648/j.ijtam.20180401.12,
  author = {Isah Bala Yabo and Basant Kumar Jha and Jeng-Eng Lin},
  title = {On a Couette Flow of Conducting Fluid},
  journal = {International Journal of Theoretical and Applied Mathematics},
  volume = {4},
  number = {1},
  pages = {8-21},
  doi = {10.11648/j.ijtam.20180401.12},
  url = {https://doi.org/10.11648/j.ijtam.20180401.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijtam.20180401.12},
  abstract = {We discuss the thermal radiation effect on unsteady free-convective Couette flow of conducting fluid in the presence of transverse magnetic field. The mathematical model is highly nonlinear due to the effect of the thermal radiation. Both numerical solution by the finite difference method and the analytical solution of the steady state by the perturbation method are presented. The numerical solution at large time agrees with the analytic solution of the steady state.},
 year = {2018}
}

Copy | Download

TY  - JOUR
T1  - On a Couette Flow of Conducting Fluid
AU  - Isah Bala Yabo
AU  - Basant Kumar Jha
AU  - Jeng-Eng Lin
Y1  - 2018/05/21
PY  - 2018
N1  - https://doi.org/10.11648/j.ijtam.20180401.12
DO  - 10.11648/j.ijtam.20180401.12
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  - 8
EP  - 21
PB  - Science Publishing Group
SN  - 2575-5080
UR  - https://doi.org/10.11648/j.ijtam.20180401.12
AB  - We discuss the thermal radiation effect on unsteady free-convective Couette flow of conducting fluid in the presence of transverse magnetic field. The mathematical model is highly nonlinear due to the effect of the thermal radiation. Both numerical solution by the finite difference method and the analytical solution of the steady state by the perturbation method are presented. The numerical solution at large time agrees with the analytic solution of the steady state.
VL  - 4
IS  - 1
ER  -

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