The Time-Dependent Similarity Solutions of Boundary Layer Equations of Power-Law Fluids with Non-Isothermal Surface

Muhammet Yurusoy

doi:doi:10.11648/j.acm.20140305.17

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The Time-Dependent Similarity Solutions of Boundary Layer Equations of Power-Law Fluids with Non-Isothermal Surface

Muhammet Yurusoy

Published in Applied and Computational Mathematics (Volume 3, Issue 5)

Received: 16 September 2014 Accepted: 23 September 2014 Published: 30 September 2014

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Abstract

Unsteady, two dimensional boundary layer flows over a heated surface of power-law fluids are investigated. Surface temperature is assumed to have o power-law variation with the time and the distance. Similarity transformation is applied to the partial differential equation system with three independent variables is reduced into an ordinary differential equations systems. Numerical solutions of non-linear differential equations are found by using a finite difference scheme. Solutions are obtained for boundary layer flow velocity and thermal boundary layer profile. Effects of flow behavior index, Prandtl number, suction-injection parameter and surface temperature exponent with the time and the distance are outlined in the figures.

Published in	Applied and Computational Mathematics (Volume 3, Issue 5)
DOI	10.11648/j.acm.20140305.17
Page(s)	235-239
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

Unsteady Flow, Power-Law Fluids, Non-Isothermal Surface

References

[1]	Yürüsoy M., 2006, Unsteady boundary layer flow of power-law fluid on stretching sheet surface, Internat. J. Engrg. Sci., 44, 325–332
[2]	Yürüsoy M., Pakdemirli M., 1997, Symmetry reduction of unsteady threedimensional boundary layers of some non-Newtonian fluids., Internat. J. Engrg. Sci., 35, 731–740.
[3]	Acrivos A., Shah M.J., Petersen E.E., 1960, Momentum and heat transfer in laminar boundary layer ows of non-Newtonian uids past external surface, A. I. Ch. E. Jl., 6, 312-317
[4]	Schowalter W.R.,1960, The application of boundary-layer theory to power-law pseudoplastic fluids: similarity solutions, AIChE J., 6, 25–28.
[5]	Chen C.H., 2008, Effects of magnetic field and suction/injection on convection heat transfer of non-Newtonian power-law fluids past a power-law stretched sheet with surface heat flux, Int. J. Thermal Sci., 47, 954–961.
[6]	Ece C. E., 2001, Free convection to power-law fluids from a vertical cone of variable surface temperature. 25, 1221-1232.
[7]	Luna N, Mendez F, Trevino C., 2002, Conjugated heat transfer in circular ducts with a power-law laminar convection fluid flow., Int. J. Heat Mass Trans., 45, 655–666.
[8]	Hassanien I.A., Abdullah A.A., Gorla R.S.R., 1998, Flow and heat transfer in a power-law fluid over a nonisothermal stretching sheet., 28, 105-116.
[9]	Lamsaadi M., Naïmi M., Hasnaoui M., 2006, Natural convection heat transfer in shallow horizontal rectangular enclosures uniformly heated from the side and filled with non-Newtonian power law fluids., 47, 2535-2551.
[10]	Mahmood M., Asghar S., Hossain, M.A., 2007, Squeezed flow and heat transfer over a porous surface for viscous fluid., Heat Mass Transfer, 44, 165-173.
[11]	Abel M.S., Datti P.S., Mahesha N., 2009, Flow and heat transfer in a power-law fluid over a stretching sheet with variable thermal conductivity and non-uniform heat source., Int. J. Heat Mass Trans., 52, 2902-2913.
[12]	Abel M.S,, Siddheshwar P,G,, Mahesha N., 2009, Effects of thermal buoyancy and variable thermal conductivity on the MHD flow and heat transfer in a power-law fluid past a vertical stretching sheet in the presence of a non-uniform heat source., 44, 1-12.
[13]	Shvets Y.I.,Vishnevvskiy V.K., 1987, Effect of dissipation on convection heat transfer in flow of non-Newtonian fluid. Heat Transfer-Soviet Research, 19, 38-43.

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APA Style

Muhammet Yurusoy. (2014). The Time-Dependent Similarity Solutions of Boundary Layer Equations of Power-Law Fluids with Non-Isothermal Surface. Applied and Computational Mathematics, 3(5), 235-239. https://doi.org/10.11648/j.acm.20140305.17

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ACS Style

Muhammet Yurusoy. The Time-Dependent Similarity Solutions of Boundary Layer Equations of Power-Law Fluids with Non-Isothermal Surface. Appl. Comput. Math. 2014, 3(5), 235-239. doi: 10.11648/j.acm.20140305.17

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AMA Style

Muhammet Yurusoy. The Time-Dependent Similarity Solutions of Boundary Layer Equations of Power-Law Fluids with Non-Isothermal Surface. Appl Comput Math. 2014;3(5):235-239. doi: 10.11648/j.acm.20140305.17

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@article{10.11648/j.acm.20140305.17,
  author = {Muhammet Yurusoy},
  title = {The Time-Dependent Similarity Solutions of Boundary Layer Equations of Power-Law Fluids with Non-Isothermal Surface},
  journal = {Applied and Computational Mathematics},
  volume = {3},
  number = {5},
  pages = {235-239},
  doi = {10.11648/j.acm.20140305.17},
  url = {https://doi.org/10.11648/j.acm.20140305.17},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20140305.17},
  abstract = {Unsteady, two dimensional boundary layer flows over a heated surface of power-law fluids are investigated. Surface temperature is assumed to have o power-law variation with the time and the distance. Similarity transformation is applied to the partial differential equation system with three independent variables is reduced into an ordinary differential equations systems. Numerical solutions of non-linear differential equations are found by using a finite difference scheme. Solutions are obtained for boundary layer flow velocity and thermal boundary layer profile. Effects of flow behavior index, Prandtl number, suction-injection parameter and surface temperature exponent with the time and the distance are outlined in the figures.},
 year = {2014}
}

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TY  - JOUR
T1  - The Time-Dependent Similarity Solutions of Boundary Layer Equations of Power-Law Fluids with Non-Isothermal Surface
AU  - Muhammet Yurusoy
Y1  - 2014/09/30
PY  - 2014
N1  - https://doi.org/10.11648/j.acm.20140305.17
DO  - 10.11648/j.acm.20140305.17
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 235
EP  - 239
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20140305.17
AB  - Unsteady, two dimensional boundary layer flows over a heated surface of power-law fluids are investigated. Surface temperature is assumed to have o power-law variation with the time and the distance. Similarity transformation is applied to the partial differential equation system with three independent variables is reduced into an ordinary differential equations systems. Numerical solutions of non-linear differential equations are found by using a finite difference scheme. Solutions are obtained for boundary layer flow velocity and thermal boundary layer profile. Effects of flow behavior index, Prandtl number, suction-injection parameter and surface temperature exponent with the time and the distance are outlined in the figures.
VL  - 3
IS  - 5
ER  -

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Author Information

Muhammet Yurusoy

Department of Mechanical Engineering, Afyon Kocatepe University, Afyon, Turkey

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APA Style

Muhammet Yurusoy. (2014). The Time-Dependent Similarity Solutions of Boundary Layer Equations of Power-Law Fluids with Non-Isothermal Surface. Applied and Computational Mathematics, 3(5), 235-239. https://doi.org/10.11648/j.acm.20140305.17

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ACS Style

Muhammet Yurusoy. The Time-Dependent Similarity Solutions of Boundary Layer Equations of Power-Law Fluids with Non-Isothermal Surface. Appl. Comput. Math. 2014, 3(5), 235-239. doi: 10.11648/j.acm.20140305.17

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AMA Style

Muhammet Yurusoy. The Time-Dependent Similarity Solutions of Boundary Layer Equations of Power-Law Fluids with Non-Isothermal Surface. Appl Comput Math. 2014;3(5):235-239. doi: 10.11648/j.acm.20140305.17

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@article{10.11648/j.acm.20140305.17,
  author = {Muhammet Yurusoy},
  title = {The Time-Dependent Similarity Solutions of Boundary Layer Equations of Power-Law Fluids with Non-Isothermal Surface},
  journal = {Applied and Computational Mathematics},
  volume = {3},
  number = {5},
  pages = {235-239},
  doi = {10.11648/j.acm.20140305.17},
  url = {https://doi.org/10.11648/j.acm.20140305.17},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20140305.17},
  abstract = {Unsteady, two dimensional boundary layer flows over a heated surface of power-law fluids are investigated. Surface temperature is assumed to have o power-law variation with the time and the distance. Similarity transformation is applied to the partial differential equation system with three independent variables is reduced into an ordinary differential equations systems. Numerical solutions of non-linear differential equations are found by using a finite difference scheme. Solutions are obtained for boundary layer flow velocity and thermal boundary layer profile. Effects of flow behavior index, Prandtl number, suction-injection parameter and surface temperature exponent with the time and the distance are outlined in the figures.},
 year = {2014}
}

Copy | Download

TY  - JOUR
T1  - The Time-Dependent Similarity Solutions of Boundary Layer Equations of Power-Law Fluids with Non-Isothermal Surface
AU  - Muhammet Yurusoy
Y1  - 2014/09/30
PY  - 2014
N1  - https://doi.org/10.11648/j.acm.20140305.17
DO  - 10.11648/j.acm.20140305.17
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 235
EP  - 239
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20140305.17
AB  - Unsteady, two dimensional boundary layer flows over a heated surface of power-law fluids are investigated. Surface temperature is assumed to have o power-law variation with the time and the distance. Similarity transformation is applied to the partial differential equation system with three independent variables is reduced into an ordinary differential equations systems. Numerical solutions of non-linear differential equations are found by using a finite difference scheme. Solutions are obtained for boundary layer flow velocity and thermal boundary layer profile. Effects of flow behavior index, Prandtl number, suction-injection parameter and surface temperature exponent with the time and the distance are outlined in the figures.
VL  - 3
IS  - 5
ER  -

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