Heat Transfer Analysis over the Boundary Layer Stagnation-Point Flow of Couple Stress Fluid over an Exponentially Stretching Sheet

Ghulam Shah; Abdul Rehman; Naveed Sheikh

doi:doi:10.11648/j.ajam.20221003.13

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Heat Transfer Analysis over the Boundary Layer Stagnation-Point Flow of Couple Stress Fluid over an Exponentially Stretching Sheet

Ghulam Shah, Abdul Rehman, Naveed Sheikh

Published in American Journal of Applied Mathematics (Volume 10, Issue 3)

Received: 22 April 2022 Accepted: 14 May 2022 Published: 31 May 2022

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Abstract

The present study provides a comprehensive discussion for the problem of boundary layer flow and heat transfer analysis of stagnation point flow of couple stress fluid over an exponentially stretching surface. The governing equations of couple stress fluid model are assumed under boundary layer approach. The nonlinear partial differential equations are simplified by using similar similarity transformations. The analytical solutions of abridged equations are computed with the help of homotopy analysis method (HAM). The convergence of the HAM solutions have been deliberated by plotting ћ - curves and also through homotopy pade approximation. The physical features of pertinent parameters have been discussed through graphs.

Published in	American Journal of Applied Mathematics (Volume 10, Issue 3)
DOI	10.11648/j.ajam.20221003.13
Page(s)	100-105
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), 2024. Published by Science Publishing Group

Keywords

Boundary Layer Flow, Couple Stress Fluid, Exponential Stretching/Shrinking, Analytical Solution

References

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APA Style

Ghulam Shah, Abdul Rehman, Naveed Sheikh. (2022). Heat Transfer Analysis over the Boundary Layer Stagnation-Point Flow of Couple Stress Fluid over an Exponentially Stretching Sheet. American Journal of Applied Mathematics, 10(3), 100-105. https://doi.org/10.11648/j.ajam.20221003.13

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ACS Style

Ghulam Shah; Abdul Rehman; Naveed Sheikh. Heat Transfer Analysis over the Boundary Layer Stagnation-Point Flow of Couple Stress Fluid over an Exponentially Stretching Sheet. Am. J. Appl. Math. 2022, 10(3), 100-105. doi: 10.11648/j.ajam.20221003.13

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AMA Style

Ghulam Shah, Abdul Rehman, Naveed Sheikh. Heat Transfer Analysis over the Boundary Layer Stagnation-Point Flow of Couple Stress Fluid over an Exponentially Stretching Sheet. Am J Appl Math. 2022;10(3):100-105. doi: 10.11648/j.ajam.20221003.13

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@article{10.11648/j.ajam.20221003.13,
  author = {Ghulam Shah and Abdul Rehman and Naveed Sheikh},
  title = {Heat Transfer Analysis over the Boundary Layer Stagnation-Point Flow of Couple Stress Fluid over an Exponentially Stretching Sheet},
  journal = {American Journal of Applied Mathematics},
  volume = {10},
  number = {3},
  pages = {100-105},
  doi = {10.11648/j.ajam.20221003.13},
  url = {https://doi.org/10.11648/j.ajam.20221003.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20221003.13},
  abstract = {The present study provides a comprehensive discussion for the problem of boundary layer flow and heat transfer analysis of stagnation point flow of couple stress fluid over an exponentially stretching surface. The governing equations of couple stress fluid model are assumed under boundary layer approach. The nonlinear partial differential equations are simplified by using similar similarity transformations. The analytical solutions of abridged equations are computed with the help of homotopy analysis method (HAM). The convergence of the HAM solutions have been deliberated by plotting ћ - curves and also through homotopy pade approximation. The physical features of pertinent parameters have been discussed through graphs.},
 year = {2022}
}

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TY  - JOUR
T1  - Heat Transfer Analysis over the Boundary Layer Stagnation-Point Flow of Couple Stress Fluid over an Exponentially Stretching Sheet
AU  - Ghulam Shah
AU  - Abdul Rehman
AU  - Naveed Sheikh
Y1  - 2022/05/31
PY  - 2022
N1  - https://doi.org/10.11648/j.ajam.20221003.13
DO  - 10.11648/j.ajam.20221003.13
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 100
EP  - 105
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20221003.13
AB  - The present study provides a comprehensive discussion for the problem of boundary layer flow and heat transfer analysis of stagnation point flow of couple stress fluid over an exponentially stretching surface. The governing equations of couple stress fluid model are assumed under boundary layer approach. The nonlinear partial differential equations are simplified by using similar similarity transformations. The analytical solutions of abridged equations are computed with the help of homotopy analysis method (HAM). The convergence of the HAM solutions have been deliberated by plotting ћ - curves and also through homotopy pade approximation. The physical features of pertinent parameters have been discussed through graphs.
VL  - 10
IS  - 3
ER  -

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Author Information

Ghulam Shah

Department of Mathematics, University of Balochistan, Quetta, Pakistan
Abdul Rehman

Department of Mathematics, University of Balochistan, Quetta, Pakistan
Naveed Sheikh

Department of Mathematics, University of Balochistan, Quetta, Pakistan

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APA Style

Ghulam Shah, Abdul Rehman, Naveed Sheikh. (2022). Heat Transfer Analysis over the Boundary Layer Stagnation-Point Flow of Couple Stress Fluid over an Exponentially Stretching Sheet. American Journal of Applied Mathematics, 10(3), 100-105. https://doi.org/10.11648/j.ajam.20221003.13

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ACS Style

Ghulam Shah; Abdul Rehman; Naveed Sheikh. Heat Transfer Analysis over the Boundary Layer Stagnation-Point Flow of Couple Stress Fluid over an Exponentially Stretching Sheet. Am. J. Appl. Math. 2022, 10(3), 100-105. doi: 10.11648/j.ajam.20221003.13

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AMA Style

Ghulam Shah, Abdul Rehman, Naveed Sheikh. Heat Transfer Analysis over the Boundary Layer Stagnation-Point Flow of Couple Stress Fluid over an Exponentially Stretching Sheet. Am J Appl Math. 2022;10(3):100-105. doi: 10.11648/j.ajam.20221003.13

Copy | Download

@article{10.11648/j.ajam.20221003.13,
  author = {Ghulam Shah and Abdul Rehman and Naveed Sheikh},
  title = {Heat Transfer Analysis over the Boundary Layer Stagnation-Point Flow of Couple Stress Fluid over an Exponentially Stretching Sheet},
  journal = {American Journal of Applied Mathematics},
  volume = {10},
  number = {3},
  pages = {100-105},
  doi = {10.11648/j.ajam.20221003.13},
  url = {https://doi.org/10.11648/j.ajam.20221003.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20221003.13},
  abstract = {The present study provides a comprehensive discussion for the problem of boundary layer flow and heat transfer analysis of stagnation point flow of couple stress fluid over an exponentially stretching surface. The governing equations of couple stress fluid model are assumed under boundary layer approach. The nonlinear partial differential equations are simplified by using similar similarity transformations. The analytical solutions of abridged equations are computed with the help of homotopy analysis method (HAM). The convergence of the HAM solutions have been deliberated by plotting ћ - curves and also through homotopy pade approximation. The physical features of pertinent parameters have been discussed through graphs.},
 year = {2022}
}

Copy | Download

TY  - JOUR
T1  - Heat Transfer Analysis over the Boundary Layer Stagnation-Point Flow of Couple Stress Fluid over an Exponentially Stretching Sheet
AU  - Ghulam Shah
AU  - Abdul Rehman
AU  - Naveed Sheikh
Y1  - 2022/05/31
PY  - 2022
N1  - https://doi.org/10.11648/j.ajam.20221003.13
DO  - 10.11648/j.ajam.20221003.13
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 100
EP  - 105
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20221003.13
AB  - The present study provides a comprehensive discussion for the problem of boundary layer flow and heat transfer analysis of stagnation point flow of couple stress fluid over an exponentially stretching surface. The governing equations of couple stress fluid model are assumed under boundary layer approach. The nonlinear partial differential equations are simplified by using similar similarity transformations. The analytical solutions of abridged equations are computed with the help of homotopy analysis method (HAM). The convergence of the HAM solutions have been deliberated by plotting ћ - curves and also through homotopy pade approximation. The physical features of pertinent parameters have been discussed through graphs.
VL  - 10
IS  - 3
ER  -

Copy | Download