Possible Similarity Cases for Internal Heat Generation, Thermal Radiation and Free Convection of Unsteady Boundary Layer Flow Over a Vertical Plate

N. M. Ridwan Zahed; Md. Yeakub Ali; Md. Jashim Uddin; Mohammed Nasir Uddin

doi:doi:10.11648/j.acm.20170601.15

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Possible Similarity Cases for Internal Heat Generation, Thermal Radiation and Free Convection of Unsteady Boundary Layer Flow Over a Vertical Plate

N. M. Ridwan Zahed, Md. Yeakub Ali, Md. Jashim Uddin, Mohammed Nasir Uddin

Published in Applied and Computational Mathematics (Volume 6, Issue 1)

Received: 21 January 2017 Accepted: 6 February 2017 Published: 4 March 2017

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Abstract

In this paper we analyze the effects of free convection for internal heat generation and thermal radiation of an unsteady boundary layer flow over a vertical plate. We have applied free parameter method to obtain possible similarity cases. One of these cases have been investigated analytically and numerically. In this case, the governing non-linear partial differential equations are transformed into a system of coupled non-linear ordinary differential equations using similarity transformations and then solved numerically using the Runge–Kutta method with shooting technique for better accuracy. The effects of the governing parameters on the flow and thermal fields are investigated numerically and displayed graphically. The skin-friction coefficient, heat transfer coefficient have also been obtained and presented in tabular form.

Published in	Applied and Computational Mathematics (Volume 6, Issue 1)
DOI	10.11648/j.acm.20170601.15
Page(s)	60-67
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), 2017. Published by Science Publishing Group

Keywords

Boundary Layer, Heat Generation, Thermal Radiation, Buoyancy Force, Similarity Solution, Vertical Plate

References

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[17]	Ali M. Yeakub, Hossain, M. M. Touhid, Similarity solution for unsteady laminar natural convection boundary layer flow around a vertical heated curvilinear surface, Int.j. of Appl. Math and Stat.(2012)0973_1377.
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APA Style

N. M. Ridwan Zahed, Md. Yeakub Ali, Md. Jashim Uddin, Mohammed Nasir Uddin. (2017). Possible Similarity Cases for Internal Heat Generation, Thermal Radiation and Free Convection of Unsteady Boundary Layer Flow Over a Vertical Plate. Applied and Computational Mathematics, 6(1), 60-67. https://doi.org/10.11648/j.acm.20170601.15

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ACS Style

N. M. Ridwan Zahed; Md. Yeakub Ali; Md. Jashim Uddin; Mohammed Nasir Uddin. Possible Similarity Cases for Internal Heat Generation, Thermal Radiation and Free Convection of Unsteady Boundary Layer Flow Over a Vertical Plate. Appl. Comput. Math. 2017, 6(1), 60-67. doi: 10.11648/j.acm.20170601.15

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AMA Style

N. M. Ridwan Zahed, Md. Yeakub Ali, Md. Jashim Uddin, Mohammed Nasir Uddin. Possible Similarity Cases for Internal Heat Generation, Thermal Radiation and Free Convection of Unsteady Boundary Layer Flow Over a Vertical Plate. Appl Comput Math. 2017;6(1):60-67. doi: 10.11648/j.acm.20170601.15

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@article{10.11648/j.acm.20170601.15,
  author = {N. M. Ridwan Zahed and Md. Yeakub Ali and Md. Jashim Uddin and Mohammed Nasir Uddin},
  title = {Possible Similarity Cases for Internal Heat Generation, Thermal Radiation and Free Convection of Unsteady Boundary Layer Flow Over a Vertical Plate},
  journal = {Applied and Computational Mathematics},
  volume = {6},
  number = {1},
  pages = {60-67},
  doi = {10.11648/j.acm.20170601.15},
  url = {https://doi.org/10.11648/j.acm.20170601.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20170601.15},
  abstract = {In this paper we analyze the effects of free convection for internal heat generation and thermal radiation of an unsteady boundary layer flow over a vertical plate. We have applied free parameter method to obtain possible similarity cases. One of these cases have been investigated analytically and numerically. In this case, the governing non-linear partial differential equations are transformed into a system of coupled non-linear ordinary differential equations using similarity transformations and then solved numerically using the Runge–Kutta method with shooting technique for better accuracy. The effects of the governing parameters on the flow and thermal fields are investigated numerically and displayed graphically. The skin-friction coefficient, heat transfer coefficient have also been obtained and presented in tabular form.},
 year = {2017}
}

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TY  - JOUR
T1  - Possible Similarity Cases for Internal Heat Generation, Thermal Radiation and Free Convection of Unsteady Boundary Layer Flow Over a Vertical Plate
AU  - N. M. Ridwan Zahed
AU  - Md. Yeakub Ali
AU  - Md. Jashim Uddin
AU  - Mohammed Nasir Uddin
Y1  - 2017/03/04
PY  - 2017
N1  - https://doi.org/10.11648/j.acm.20170601.15
DO  - 10.11648/j.acm.20170601.15
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 60
EP  - 67
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20170601.15
AB  - In this paper we analyze the effects of free convection for internal heat generation and thermal radiation of an unsteady boundary layer flow over a vertical plate. We have applied free parameter method to obtain possible similarity cases. One of these cases have been investigated analytically and numerically. In this case, the governing non-linear partial differential equations are transformed into a system of coupled non-linear ordinary differential equations using similarity transformations and then solved numerically using the Runge–Kutta method with shooting technique for better accuracy. The effects of the governing parameters on the flow and thermal fields are investigated numerically and displayed graphically. The skin-friction coefficient, heat transfer coefficient have also been obtained and presented in tabular form.
VL  - 6
IS  - 1
ER  -

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Author Information

N. M. Ridwan Zahed

Department of Mathematics, Chittagong University of Engineering & Technology, Chittagong, Bangladesh
Md. Yeakub Ali

Department of Mathematics, Chittagong University of Engineering & Technology, Chittagong, Bangladesh
Md. Jashim Uddin

Department of Mathematics, Chittagong University of Engineering & Technology, Chittagong, Bangladesh
Mohammed Nasir Uddin

Department of Mathematics, Chittagong University of Engineering & Technology, Chittagong, Bangladesh

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APA Style

N. M. Ridwan Zahed, Md. Yeakub Ali, Md. Jashim Uddin, Mohammed Nasir Uddin. (2017). Possible Similarity Cases for Internal Heat Generation, Thermal Radiation and Free Convection of Unsteady Boundary Layer Flow Over a Vertical Plate. Applied and Computational Mathematics, 6(1), 60-67. https://doi.org/10.11648/j.acm.20170601.15

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ACS Style

N. M. Ridwan Zahed; Md. Yeakub Ali; Md. Jashim Uddin; Mohammed Nasir Uddin. Possible Similarity Cases for Internal Heat Generation, Thermal Radiation and Free Convection of Unsteady Boundary Layer Flow Over a Vertical Plate. Appl. Comput. Math. 2017, 6(1), 60-67. doi: 10.11648/j.acm.20170601.15

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AMA Style

N. M. Ridwan Zahed, Md. Yeakub Ali, Md. Jashim Uddin, Mohammed Nasir Uddin. Possible Similarity Cases for Internal Heat Generation, Thermal Radiation and Free Convection of Unsteady Boundary Layer Flow Over a Vertical Plate. Appl Comput Math. 2017;6(1):60-67. doi: 10.11648/j.acm.20170601.15

Copy | Download

@article{10.11648/j.acm.20170601.15,
  author = {N. M. Ridwan Zahed and Md. Yeakub Ali and Md. Jashim Uddin and Mohammed Nasir Uddin},
  title = {Possible Similarity Cases for Internal Heat Generation, Thermal Radiation and Free Convection of Unsteady Boundary Layer Flow Over a Vertical Plate},
  journal = {Applied and Computational Mathematics},
  volume = {6},
  number = {1},
  pages = {60-67},
  doi = {10.11648/j.acm.20170601.15},
  url = {https://doi.org/10.11648/j.acm.20170601.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20170601.15},
  abstract = {In this paper we analyze the effects of free convection for internal heat generation and thermal radiation of an unsteady boundary layer flow over a vertical plate. We have applied free parameter method to obtain possible similarity cases. One of these cases have been investigated analytically and numerically. In this case, the governing non-linear partial differential equations are transformed into a system of coupled non-linear ordinary differential equations using similarity transformations and then solved numerically using the Runge–Kutta method with shooting technique for better accuracy. The effects of the governing parameters on the flow and thermal fields are investigated numerically and displayed graphically. The skin-friction coefficient, heat transfer coefficient have also been obtained and presented in tabular form.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Possible Similarity Cases for Internal Heat Generation, Thermal Radiation and Free Convection of Unsteady Boundary Layer Flow Over a Vertical Plate
AU  - N. M. Ridwan Zahed
AU  - Md. Yeakub Ali
AU  - Md. Jashim Uddin
AU  - Mohammed Nasir Uddin
Y1  - 2017/03/04
PY  - 2017
N1  - https://doi.org/10.11648/j.acm.20170601.15
DO  - 10.11648/j.acm.20170601.15
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 60
EP  - 67
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20170601.15
AB  - In this paper we analyze the effects of free convection for internal heat generation and thermal radiation of an unsteady boundary layer flow over a vertical plate. We have applied free parameter method to obtain possible similarity cases. One of these cases have been investigated analytically and numerically. In this case, the governing non-linear partial differential equations are transformed into a system of coupled non-linear ordinary differential equations using similarity transformations and then solved numerically using the Runge–Kutta method with shooting technique for better accuracy. The effects of the governing parameters on the flow and thermal fields are investigated numerically and displayed graphically. The skin-friction coefficient, heat transfer coefficient have also been obtained and presented in tabular form.
VL  - 6
IS  - 1
ER  -

Copy | Download