Heat and Mass Transfer Analysis of an Unsteady MHD Flow Past an Impulsively Started Vertical Plate in Presence of Thermal Radiation

Kamalesh Kumar Pandit; Sinam Iboton Singh; Dipak Sarma

doi:doi:10.11648/j.ijfmts.20180402.11

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Heat and Mass Transfer Analysis of an Unsteady MHD Flow Past an Impulsively Started Vertical Plate in Presence of Thermal Radiation

Kamalesh Kumar Pandit, Sinam Iboton Singh, Dipak Sarma

Published in International Journal of Fluid Mechanics & Thermal Sciences (Volume 4, Issue 2)

Received: 28 July 2018 Accepted: 29 August 2018 Published: 30 September 2018

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Abstract

The present paper aims at investigating the boundary layer flow of an unsteady MHD free convection heat and mass transfer flow of a viscous, incompressible and electrically conducting fluid over an impulsively started infinite vertical plate in presence of thermal radiation. The magnetic Reynolds number is considered to be so small that the induced magnetic field can be neglected. Exact solution of the governing equations is obtained in closed form by Laplace transform technique. Expression for skin friction, Nusselt number and Sherwood number are derived. The numerical values of fluid velocity, fluid temperature and species concentration are displayed graphically whereas the numerical values of skin friction, the Nusselt number and the Sherwood number are presented in tabular form for various values of pertinent flow parameters. It is being found that the mass diffusion tends to reduce the fluid velocity whereas thermal radiation has reverse effect on the fluid velocity throughout the boundary layer region. Mass diffusion tends to reduce the species concentration whereas time has reverse effect on the species concentration throughout the boundary layer region. The radiation parameter and mass diffusion decreases the skin friction whereas Prandtl number has reverse effect on it. The radiation parameter reduces the rate of heat transfer whereas as time progress the rate of heat transfer is getting accelerated.

Published in	International Journal of Fluid Mechanics & Thermal Sciences (Volume 4, Issue 2)
DOI	10.11648/j.ijfmts.20180402.11
Page(s)	18-26
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

MHD, Thermal Radiation, Heat and Mass Transfer, Impulsively Started Vertical Plate

References

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APA Style

Kamalesh Kumar Pandit, Sinam Iboton Singh, Dipak Sarma. (2018). Heat and Mass Transfer Analysis of an Unsteady MHD Flow Past an Impulsively Started Vertical Plate in Presence of Thermal Radiation. International Journal of Fluid Mechanics & Thermal Sciences, 4(2), 18-26. https://doi.org/10.11648/j.ijfmts.20180402.11

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ACS Style

Kamalesh Kumar Pandit; Sinam Iboton Singh; Dipak Sarma. Heat and Mass Transfer Analysis of an Unsteady MHD Flow Past an Impulsively Started Vertical Plate in Presence of Thermal Radiation. Int. J. Fluid Mech. Therm. Sci. 2018, 4(2), 18-26. doi: 10.11648/j.ijfmts.20180402.11

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AMA Style

Kamalesh Kumar Pandit, Sinam Iboton Singh, Dipak Sarma. Heat and Mass Transfer Analysis of an Unsteady MHD Flow Past an Impulsively Started Vertical Plate in Presence of Thermal Radiation. Int J Fluid Mech Therm Sci. 2018;4(2):18-26. doi: 10.11648/j.ijfmts.20180402.11

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@article{10.11648/j.ijfmts.20180402.11,
  author = {Kamalesh Kumar Pandit and Sinam Iboton Singh and Dipak Sarma},
  title = {Heat and Mass Transfer Analysis of an Unsteady MHD Flow Past an Impulsively Started Vertical Plate in Presence of Thermal Radiation},
  journal = {International Journal of Fluid Mechanics & Thermal Sciences},
  volume = {4},
  number = {2},
  pages = {18-26},
  doi = {10.11648/j.ijfmts.20180402.11},
  url = {https://doi.org/10.11648/j.ijfmts.20180402.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijfmts.20180402.11},
  abstract = {The present paper aims at investigating the boundary layer flow of an unsteady MHD free convection heat and mass transfer flow of a viscous, incompressible and electrically conducting fluid over an impulsively started infinite vertical plate in presence of thermal radiation. The magnetic Reynolds number is considered to be so small that the induced magnetic field can be neglected. Exact solution of the governing equations is obtained in closed form by Laplace transform technique. Expression for skin friction, Nusselt number and Sherwood number are derived. The numerical values of fluid velocity, fluid temperature and species concentration are displayed graphically whereas the numerical values of skin friction, the Nusselt number and the Sherwood number are presented in tabular form for various values of pertinent flow parameters. It is being found that the mass diffusion tends to reduce the fluid velocity whereas thermal radiation has reverse effect on the fluid velocity throughout the boundary layer region. Mass diffusion tends to reduce the species concentration whereas time has reverse effect on the species concentration throughout the boundary layer region. The radiation parameter and mass diffusion decreases the skin friction whereas Prandtl number has reverse effect on it. The radiation parameter reduces the rate of heat transfer whereas as time progress the rate of heat transfer is getting accelerated.},
 year = {2018}
}

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TY  - JOUR
T1  - Heat and Mass Transfer Analysis of an Unsteady MHD Flow Past an Impulsively Started Vertical Plate in Presence of Thermal Radiation
AU  - Kamalesh Kumar Pandit
AU  - Sinam Iboton Singh
AU  - Dipak Sarma
Y1  - 2018/09/30
PY  - 2018
N1  - https://doi.org/10.11648/j.ijfmts.20180402.11
DO  - 10.11648/j.ijfmts.20180402.11
T2  - International Journal of Fluid Mechanics & Thermal Sciences
JF  - International Journal of Fluid Mechanics & Thermal Sciences
JO  - International Journal of Fluid Mechanics & Thermal Sciences
SP  - 18
EP  - 26
PB  - Science Publishing Group
SN  - 2469-8113
UR  - https://doi.org/10.11648/j.ijfmts.20180402.11
AB  - The present paper aims at investigating the boundary layer flow of an unsteady MHD free convection heat and mass transfer flow of a viscous, incompressible and electrically conducting fluid over an impulsively started infinite vertical plate in presence of thermal radiation. The magnetic Reynolds number is considered to be so small that the induced magnetic field can be neglected. Exact solution of the governing equations is obtained in closed form by Laplace transform technique. Expression for skin friction, Nusselt number and Sherwood number are derived. The numerical values of fluid velocity, fluid temperature and species concentration are displayed graphically whereas the numerical values of skin friction, the Nusselt number and the Sherwood number are presented in tabular form for various values of pertinent flow parameters. It is being found that the mass diffusion tends to reduce the fluid velocity whereas thermal radiation has reverse effect on the fluid velocity throughout the boundary layer region. Mass diffusion tends to reduce the species concentration whereas time has reverse effect on the species concentration throughout the boundary layer region. The radiation parameter and mass diffusion decreases the skin friction whereas Prandtl number has reverse effect on it. The radiation parameter reduces the rate of heat transfer whereas as time progress the rate of heat transfer is getting accelerated.
VL  - 4
IS  - 2
ER  -

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Author Information

Kamalesh Kumar Pandit

Department of Mathematics, Gauhati University, Guwahati, India
Sinam Iboton Singh

Department of Mathematics, Gauhati University, Guwahati, India
Dipak Sarma

Department of Mathematics, Gauhati University, Guwahati, India

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APA Style

Kamalesh Kumar Pandit, Sinam Iboton Singh, Dipak Sarma. (2018). Heat and Mass Transfer Analysis of an Unsteady MHD Flow Past an Impulsively Started Vertical Plate in Presence of Thermal Radiation. International Journal of Fluid Mechanics & Thermal Sciences, 4(2), 18-26. https://doi.org/10.11648/j.ijfmts.20180402.11

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ACS Style

Kamalesh Kumar Pandit; Sinam Iboton Singh; Dipak Sarma. Heat and Mass Transfer Analysis of an Unsteady MHD Flow Past an Impulsively Started Vertical Plate in Presence of Thermal Radiation. Int. J. Fluid Mech. Therm. Sci. 2018, 4(2), 18-26. doi: 10.11648/j.ijfmts.20180402.11

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AMA Style

Kamalesh Kumar Pandit, Sinam Iboton Singh, Dipak Sarma. Heat and Mass Transfer Analysis of an Unsteady MHD Flow Past an Impulsively Started Vertical Plate in Presence of Thermal Radiation. Int J Fluid Mech Therm Sci. 2018;4(2):18-26. doi: 10.11648/j.ijfmts.20180402.11

Copy | Download

@article{10.11648/j.ijfmts.20180402.11,
  author = {Kamalesh Kumar Pandit and Sinam Iboton Singh and Dipak Sarma},
  title = {Heat and Mass Transfer Analysis of an Unsteady MHD Flow Past an Impulsively Started Vertical Plate in Presence of Thermal Radiation},
  journal = {International Journal of Fluid Mechanics & Thermal Sciences},
  volume = {4},
  number = {2},
  pages = {18-26},
  doi = {10.11648/j.ijfmts.20180402.11},
  url = {https://doi.org/10.11648/j.ijfmts.20180402.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijfmts.20180402.11},
  abstract = {The present paper aims at investigating the boundary layer flow of an unsteady MHD free convection heat and mass transfer flow of a viscous, incompressible and electrically conducting fluid over an impulsively started infinite vertical plate in presence of thermal radiation. The magnetic Reynolds number is considered to be so small that the induced magnetic field can be neglected. Exact solution of the governing equations is obtained in closed form by Laplace transform technique. Expression for skin friction, Nusselt number and Sherwood number are derived. The numerical values of fluid velocity, fluid temperature and species concentration are displayed graphically whereas the numerical values of skin friction, the Nusselt number and the Sherwood number are presented in tabular form for various values of pertinent flow parameters. It is being found that the mass diffusion tends to reduce the fluid velocity whereas thermal radiation has reverse effect on the fluid velocity throughout the boundary layer region. Mass diffusion tends to reduce the species concentration whereas time has reverse effect on the species concentration throughout the boundary layer region. The radiation parameter and mass diffusion decreases the skin friction whereas Prandtl number has reverse effect on it. The radiation parameter reduces the rate of heat transfer whereas as time progress the rate of heat transfer is getting accelerated.},
 year = {2018}
}

Copy | Download

TY  - JOUR
T1  - Heat and Mass Transfer Analysis of an Unsteady MHD Flow Past an Impulsively Started Vertical Plate in Presence of Thermal Radiation
AU  - Kamalesh Kumar Pandit
AU  - Sinam Iboton Singh
AU  - Dipak Sarma
Y1  - 2018/09/30
PY  - 2018
N1  - https://doi.org/10.11648/j.ijfmts.20180402.11
DO  - 10.11648/j.ijfmts.20180402.11
T2  - International Journal of Fluid Mechanics & Thermal Sciences
JF  - International Journal of Fluid Mechanics & Thermal Sciences
JO  - International Journal of Fluid Mechanics & Thermal Sciences
SP  - 18
EP  - 26
PB  - Science Publishing Group
SN  - 2469-8113
UR  - https://doi.org/10.11648/j.ijfmts.20180402.11
AB  - The present paper aims at investigating the boundary layer flow of an unsteady MHD free convection heat and mass transfer flow of a viscous, incompressible and electrically conducting fluid over an impulsively started infinite vertical plate in presence of thermal radiation. The magnetic Reynolds number is considered to be so small that the induced magnetic field can be neglected. Exact solution of the governing equations is obtained in closed form by Laplace transform technique. Expression for skin friction, Nusselt number and Sherwood number are derived. The numerical values of fluid velocity, fluid temperature and species concentration are displayed graphically whereas the numerical values of skin friction, the Nusselt number and the Sherwood number are presented in tabular form for various values of pertinent flow parameters. It is being found that the mass diffusion tends to reduce the fluid velocity whereas thermal radiation has reverse effect on the fluid velocity throughout the boundary layer region. Mass diffusion tends to reduce the species concentration whereas time has reverse effect on the species concentration throughout the boundary layer region. The radiation parameter and mass diffusion decreases the skin friction whereas Prandtl number has reverse effect on it. The radiation parameter reduces the rate of heat transfer whereas as time progress the rate of heat transfer is getting accelerated.
VL  - 4
IS  - 2
ER  -

Copy | Download