Effect of Variable Thermal Conductivity on Heat and Mass Transfer Flow over a Vertical Channel with Magnetic Field Intensity

Ime Jimmy Uwanta; Halima Usman

doi:doi:10.11648/j.acm.20140302.12

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Effect of Variable Thermal Conductivity on Heat and Mass Transfer Flow over a Vertical Channel with Magnetic Field Intensity

Ime Jimmy Uwanta, Halima Usman

Published in Applied and Computational Mathematics (Volume 3, Issue 2)

Received: 30 March 2014 Accepted: 22 April 2014 Published: 30 April 2014

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Abstract

The objective of this paper is to study thermal conductivity and magnetic field intensity effects on heat and mass transfer flow over a vertical channel both numerically and analytically. The non-linear partial differential equations governing the flow are non-dimensionalised, simplified and solved using Crank Nicolson type of implicit finite difference method. To check the accuracy of the numerical solution, steady state solutions for velocity, temperature and concentration fields are obtained by using perturbation method. Graphical results for velocity, temperature, concentration, skin friction, Nusselt number and Sherwood number have been obtained, to show the effects of different parameters entering in the problem. Results from these study shows that velocity, temperature and concentration increases with the increase in the dimensionless time until they reach steady state value. Also, it was observed that the analytical and numerical solutions agree very well at large values of time.

Published in	Applied and Computational Mathematics (Volume 3, Issue 2)
DOI	10.11648/j.acm.20140302.12
Page(s)	48-56
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), 2014. Published by Science Publishing Group

Keywords

Thermal Conductivity, Heat and Mass Transfer, Magnetic Field, Thermal Radiation

References

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APA Style

Ime Jimmy Uwanta, Halima Usman. (2014). Effect of Variable Thermal Conductivity on Heat and Mass Transfer Flow over a Vertical Channel with Magnetic Field Intensity. Applied and Computational Mathematics, 3(2), 48-56. https://doi.org/10.11648/j.acm.20140302.12

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ACS Style

Ime Jimmy Uwanta; Halima Usman. Effect of Variable Thermal Conductivity on Heat and Mass Transfer Flow over a Vertical Channel with Magnetic Field Intensity. Appl. Comput. Math. 2014, 3(2), 48-56. doi: 10.11648/j.acm.20140302.12

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AMA Style

Ime Jimmy Uwanta, Halima Usman. Effect of Variable Thermal Conductivity on Heat and Mass Transfer Flow over a Vertical Channel with Magnetic Field Intensity. Appl Comput Math. 2014;3(2):48-56. doi: 10.11648/j.acm.20140302.12

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@article{10.11648/j.acm.20140302.12,
  author = {Ime Jimmy Uwanta and Halima Usman},
  title = {Effect of Variable Thermal Conductivity on Heat and Mass Transfer Flow over a Vertical Channel with Magnetic Field Intensity},
  journal = {Applied and Computational Mathematics},
  volume = {3},
  number = {2},
  pages = {48-56},
  doi = {10.11648/j.acm.20140302.12},
  url = {https://doi.org/10.11648/j.acm.20140302.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20140302.12},
  abstract = {The objective of this paper is to study thermal conductivity and magnetic field intensity effects on heat and mass transfer flow over a vertical channel both numerically and analytically. The non-linear partial differential equations governing the flow are non-dimensionalised, simplified and solved using Crank Nicolson type of implicit finite difference method. To check the accuracy of the numerical solution, steady state solutions for velocity, temperature and concentration fields are obtained by using perturbation method. Graphical results for velocity, temperature, concentration, skin friction, Nusselt number and Sherwood number have been obtained, to show the effects of different parameters entering in the problem. Results from these study shows that velocity, temperature and concentration increases with the increase in the dimensionless time until they reach steady state value. Also, it was observed that the analytical and numerical solutions agree very well at large values of time.},
 year = {2014}
}

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TY  - JOUR
T1  - Effect of Variable Thermal Conductivity on Heat and Mass Transfer Flow over a Vertical Channel with Magnetic Field Intensity
AU  - Ime Jimmy Uwanta
AU  - Halima Usman
Y1  - 2014/04/30
PY  - 2014
N1  - https://doi.org/10.11648/j.acm.20140302.12
DO  - 10.11648/j.acm.20140302.12
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 48
EP  - 56
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20140302.12
AB  - The objective of this paper is to study thermal conductivity and magnetic field intensity effects on heat and mass transfer flow over a vertical channel both numerically and analytically. The non-linear partial differential equations governing the flow are non-dimensionalised, simplified and solved using Crank Nicolson type of implicit finite difference method. To check the accuracy of the numerical solution, steady state solutions for velocity, temperature and concentration fields are obtained by using perturbation method. Graphical results for velocity, temperature, concentration, skin friction, Nusselt number and Sherwood number have been obtained, to show the effects of different parameters entering in the problem. Results from these study shows that velocity, temperature and concentration increases with the increase in the dimensionless time until they reach steady state value. Also, it was observed that the analytical and numerical solutions agree very well at large values of time.
VL  - 3
IS  - 2
ER  -

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Author Information

Ime Jimmy Uwanta

Department of Mathematics, Usmanu Danfodiyo University, Sokoto, Nigeria
Halima Usman

Department of Mathematics, Usmanu Danfodiyo University, Sokoto, Nigeria

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APA Style

Ime Jimmy Uwanta, Halima Usman. (2014). Effect of Variable Thermal Conductivity on Heat and Mass Transfer Flow over a Vertical Channel with Magnetic Field Intensity. Applied and Computational Mathematics, 3(2), 48-56. https://doi.org/10.11648/j.acm.20140302.12

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ACS Style

Ime Jimmy Uwanta; Halima Usman. Effect of Variable Thermal Conductivity on Heat and Mass Transfer Flow over a Vertical Channel with Magnetic Field Intensity. Appl. Comput. Math. 2014, 3(2), 48-56. doi: 10.11648/j.acm.20140302.12

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AMA Style

Ime Jimmy Uwanta, Halima Usman. Effect of Variable Thermal Conductivity on Heat and Mass Transfer Flow over a Vertical Channel with Magnetic Field Intensity. Appl Comput Math. 2014;3(2):48-56. doi: 10.11648/j.acm.20140302.12

Copy | Download

@article{10.11648/j.acm.20140302.12,
  author = {Ime Jimmy Uwanta and Halima Usman},
  title = {Effect of Variable Thermal Conductivity on Heat and Mass Transfer Flow over a Vertical Channel with Magnetic Field Intensity},
  journal = {Applied and Computational Mathematics},
  volume = {3},
  number = {2},
  pages = {48-56},
  doi = {10.11648/j.acm.20140302.12},
  url = {https://doi.org/10.11648/j.acm.20140302.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20140302.12},
  abstract = {The objective of this paper is to study thermal conductivity and magnetic field intensity effects on heat and mass transfer flow over a vertical channel both numerically and analytically. The non-linear partial differential equations governing the flow are non-dimensionalised, simplified and solved using Crank Nicolson type of implicit finite difference method. To check the accuracy of the numerical solution, steady state solutions for velocity, temperature and concentration fields are obtained by using perturbation method. Graphical results for velocity, temperature, concentration, skin friction, Nusselt number and Sherwood number have been obtained, to show the effects of different parameters entering in the problem. Results from these study shows that velocity, temperature and concentration increases with the increase in the dimensionless time until they reach steady state value. Also, it was observed that the analytical and numerical solutions agree very well at large values of time.},
 year = {2014}
}

Copy | Download

TY  - JOUR
T1  - Effect of Variable Thermal Conductivity on Heat and Mass Transfer Flow over a Vertical Channel with Magnetic Field Intensity
AU  - Ime Jimmy Uwanta
AU  - Halima Usman
Y1  - 2014/04/30
PY  - 2014
N1  - https://doi.org/10.11648/j.acm.20140302.12
DO  - 10.11648/j.acm.20140302.12
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 48
EP  - 56
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20140302.12
AB  - The objective of this paper is to study thermal conductivity and magnetic field intensity effects on heat and mass transfer flow over a vertical channel both numerically and analytically. The non-linear partial differential equations governing the flow are non-dimensionalised, simplified and solved using Crank Nicolson type of implicit finite difference method. To check the accuracy of the numerical solution, steady state solutions for velocity, temperature and concentration fields are obtained by using perturbation method. Graphical results for velocity, temperature, concentration, skin friction, Nusselt number and Sherwood number have been obtained, to show the effects of different parameters entering in the problem. Results from these study shows that velocity, temperature and concentration increases with the increase in the dimensionless time until they reach steady state value. Also, it was observed that the analytical and numerical solutions agree very well at large values of time.
VL  - 3
IS  - 2
ER  -

Copy | Download