Transient Mixed Convection Boundary Layer Flow of an Incompressible Fluid Past a Wedge in Presence of Magnetic Field

Shayma Joya Saha; Litan Kumar Saha

doi:doi:10.11648/j.acm.20190801.13

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Transient Mixed Convection Boundary Layer Flow of an Incompressible Fluid Past a Wedge in Presence of Magnetic Field

Shayma Joya Saha, Litan Kumar Saha

Published in Applied and Computational Mathematics (Volume 8, Issue 1)

Received: 1 February 2019 Accepted: 11 March 2019 Published: 25 March 2019

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Abstract

In this paper, an analysis is performed to explorethe transient, laminar two-dimensional, mixed convection boundary layer flow of a viscous and incompressible fluid past a vertical wedge taking into account the effect of magnetic field. With appropriate transformations the boundary layer equations are reduced to a local nonsimilarity equations and the solutions are obtained employing three distinct methods, namely, (i) perturbation method for small time; (ii) asymptotic solution method for large time; (iii) straight forward finite difference method for any time. The agreement between the solutions obtained from prescribed methods is found to be excellent. In this study the evaluation of skin-friction coefficient and the local Nusselt number with the effects of different governing parameters such as different time, τ, the exponent, m (= 0.4, 0.5, 1.0), mixed convection parameter, λ (= 0.0, 0.2, 0.4) and magnetic field parameter, M (=0.0, 1.0) for fluids having Prandtl number, Pr= 0.72, 1.0 and 7.0have been discussed. It is observed that both the local skin friction and local Nusseltnumber decreases due to an increase in the value of M. It is also found that an increase in the value of Prandtl number, Pr, leads to a decrease in the value of local skin friction coefficient and the value of local Nusselt number coefficient increases with the increasing values of Prandtl number.

Published in	Applied and Computational Mathematics (Volume 8, Issue 1)
DOI	10.11648/j.acm.20190801.13
Page(s)	9-20
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), 2019. Published by Science Publishing Group

Keywords

Transient Flow, Mixed Convection, Magnetohydrodynamics, Boundary Layer, Wedge Flow

References

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APA Style

Shayma Joya Saha, Litan Kumar Saha. (2019). Transient Mixed Convection Boundary Layer Flow of an Incompressible Fluid Past a Wedge in Presence of Magnetic Field. Applied and Computational Mathematics, 8(1), 9-20. https://doi.org/10.11648/j.acm.20190801.13

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ACS Style

Shayma Joya Saha; Litan Kumar Saha. Transient Mixed Convection Boundary Layer Flow of an Incompressible Fluid Past a Wedge in Presence of Magnetic Field. Appl. Comput. Math. 2019, 8(1), 9-20. doi: 10.11648/j.acm.20190801.13

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AMA Style

Shayma Joya Saha, Litan Kumar Saha. Transient Mixed Convection Boundary Layer Flow of an Incompressible Fluid Past a Wedge in Presence of Magnetic Field. Appl Comput Math. 2019;8(1):9-20. doi: 10.11648/j.acm.20190801.13

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@article{10.11648/j.acm.20190801.13,
  author = {Shayma Joya Saha and Litan Kumar Saha},
  title = {Transient Mixed Convection Boundary Layer Flow of an Incompressible Fluid Past a Wedge in Presence of Magnetic Field},
  journal = {Applied and Computational Mathematics},
  volume = {8},
  number = {1},
  pages = {9-20},
  doi = {10.11648/j.acm.20190801.13},
  url = {https://doi.org/10.11648/j.acm.20190801.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20190801.13},
  abstract = {In this paper, an analysis is performed to explorethe transient, laminar two-dimensional, mixed convection boundary layer flow of a viscous and incompressible fluid past a vertical wedge taking into account the effect of magnetic field. With appropriate transformations the boundary layer equations are reduced to a local nonsimilarity equations and the solutions are obtained employing three distinct methods, namely, (i) perturbation method for small time; (ii) asymptotic solution method for large time; (iii) straight forward finite difference method for any time. The agreement between the solutions obtained from prescribed methods is found to be excellent. In this study the evaluation of skin-friction coefficient and the local Nusselt number with the effects of different governing parameters such as different time, τ, the exponent, m (= 0.4, 0.5, 1.0), mixed convection parameter, λ (= 0.0, 0.2, 0.4) and magnetic field parameter, M (=0.0, 1.0) for fluids having Prandtl number, Pr= 0.72, 1.0 and 7.0have been discussed. It is observed that both the local skin friction and local Nusseltnumber decreases due to an increase in the value of M. It is also found that an increase in the value of Prandtl number, Pr, leads to a decrease in the value of local skin friction coefficient and the value of local Nusselt number coefficient increases with the increasing values of Prandtl number.},
 year = {2019}
}

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TY  - JOUR
T1  - Transient Mixed Convection Boundary Layer Flow of an Incompressible Fluid Past a Wedge in Presence of Magnetic Field
AU  - Shayma Joya Saha
AU  - Litan Kumar Saha
Y1  - 2019/03/25
PY  - 2019
N1  - https://doi.org/10.11648/j.acm.20190801.13
DO  - 10.11648/j.acm.20190801.13
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 9
EP  - 20
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20190801.13
AB  - In this paper, an analysis is performed to explorethe transient, laminar two-dimensional, mixed convection boundary layer flow of a viscous and incompressible fluid past a vertical wedge taking into account the effect of magnetic field. With appropriate transformations the boundary layer equations are reduced to a local nonsimilarity equations and the solutions are obtained employing three distinct methods, namely, (i) perturbation method for small time; (ii) asymptotic solution method for large time; (iii) straight forward finite difference method for any time. The agreement between the solutions obtained from prescribed methods is found to be excellent. In this study the evaluation of skin-friction coefficient and the local Nusselt number with the effects of different governing parameters such as different time, τ, the exponent, m (= 0.4, 0.5, 1.0), mixed convection parameter, λ (= 0.0, 0.2, 0.4) and magnetic field parameter, M (=0.0, 1.0) for fluids having Prandtl number, Pr= 0.72, 1.0 and 7.0have been discussed. It is observed that both the local skin friction and local Nusseltnumber decreases due to an increase in the value of M. It is also found that an increase in the value of Prandtl number, Pr, leads to a decrease in the value of local skin friction coefficient and the value of local Nusselt number coefficient increases with the increasing values of Prandtl number.
VL  - 8
IS  - 1
ER  -

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Author Information

Shayma Joya Saha

Department of Applied Mathematics, University of Dhaka, Dhaka, Bangladesh
Litan Kumar Saha

Department of Applied Mathematics, University of Dhaka, Dhaka, Bangladesh

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APA Style

Shayma Joya Saha, Litan Kumar Saha. (2019). Transient Mixed Convection Boundary Layer Flow of an Incompressible Fluid Past a Wedge in Presence of Magnetic Field. Applied and Computational Mathematics, 8(1), 9-20. https://doi.org/10.11648/j.acm.20190801.13

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ACS Style

Shayma Joya Saha; Litan Kumar Saha. Transient Mixed Convection Boundary Layer Flow of an Incompressible Fluid Past a Wedge in Presence of Magnetic Field. Appl. Comput. Math. 2019, 8(1), 9-20. doi: 10.11648/j.acm.20190801.13

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AMA Style

Shayma Joya Saha, Litan Kumar Saha. Transient Mixed Convection Boundary Layer Flow of an Incompressible Fluid Past a Wedge in Presence of Magnetic Field. Appl Comput Math. 2019;8(1):9-20. doi: 10.11648/j.acm.20190801.13

Copy | Download

@article{10.11648/j.acm.20190801.13,
  author = {Shayma Joya Saha and Litan Kumar Saha},
  title = {Transient Mixed Convection Boundary Layer Flow of an Incompressible Fluid Past a Wedge in Presence of Magnetic Field},
  journal = {Applied and Computational Mathematics},
  volume = {8},
  number = {1},
  pages = {9-20},
  doi = {10.11648/j.acm.20190801.13},
  url = {https://doi.org/10.11648/j.acm.20190801.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20190801.13},
  abstract = {In this paper, an analysis is performed to explorethe transient, laminar two-dimensional, mixed convection boundary layer flow of a viscous and incompressible fluid past a vertical wedge taking into account the effect of magnetic field. With appropriate transformations the boundary layer equations are reduced to a local nonsimilarity equations and the solutions are obtained employing three distinct methods, namely, (i) perturbation method for small time; (ii) asymptotic solution method for large time; (iii) straight forward finite difference method for any time. The agreement between the solutions obtained from prescribed methods is found to be excellent. In this study the evaluation of skin-friction coefficient and the local Nusselt number with the effects of different governing parameters such as different time, τ, the exponent, m (= 0.4, 0.5, 1.0), mixed convection parameter, λ (= 0.0, 0.2, 0.4) and magnetic field parameter, M (=0.0, 1.0) for fluids having Prandtl number, Pr= 0.72, 1.0 and 7.0have been discussed. It is observed that both the local skin friction and local Nusseltnumber decreases due to an increase in the value of M. It is also found that an increase in the value of Prandtl number, Pr, leads to a decrease in the value of local skin friction coefficient and the value of local Nusselt number coefficient increases with the increasing values of Prandtl number.},
 year = {2019}
}

Copy | Download

TY  - JOUR
T1  - Transient Mixed Convection Boundary Layer Flow of an Incompressible Fluid Past a Wedge in Presence of Magnetic Field
AU  - Shayma Joya Saha
AU  - Litan Kumar Saha
Y1  - 2019/03/25
PY  - 2019
N1  - https://doi.org/10.11648/j.acm.20190801.13
DO  - 10.11648/j.acm.20190801.13
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 9
EP  - 20
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20190801.13
AB  - In this paper, an analysis is performed to explorethe transient, laminar two-dimensional, mixed convection boundary layer flow of a viscous and incompressible fluid past a vertical wedge taking into account the effect of magnetic field. With appropriate transformations the boundary layer equations are reduced to a local nonsimilarity equations and the solutions are obtained employing three distinct methods, namely, (i) perturbation method for small time; (ii) asymptotic solution method for large time; (iii) straight forward finite difference method for any time. The agreement between the solutions obtained from prescribed methods is found to be excellent. In this study the evaluation of skin-friction coefficient and the local Nusselt number with the effects of different governing parameters such as different time, τ, the exponent, m (= 0.4, 0.5, 1.0), mixed convection parameter, λ (= 0.0, 0.2, 0.4) and magnetic field parameter, M (=0.0, 1.0) for fluids having Prandtl number, Pr= 0.72, 1.0 and 7.0have been discussed. It is observed that both the local skin friction and local Nusseltnumber decreases due to an increase in the value of M. It is also found that an increase in the value of Prandtl number, Pr, leads to a decrease in the value of local skin friction coefficient and the value of local Nusselt number coefficient increases with the increasing values of Prandtl number.
VL  - 8
IS  - 1
ER  -

Copy | Download