The Time-Dependent Similarity Solutions of Boundary Layer Equations of Power-Law Fluids with Non-Isothermal Surface
Applied and Computational Mathematics
Volume 3, Issue 5, October 2014, Pages: 235-239
Received: Sep. 16, 2014; Accepted: Sep. 23, 2014; Published: Sep. 30, 2014
Views 2337      Downloads 137
Muhammet Yurusoy, Department of Mechanical Engineering, Afyon Kocatepe University, Afyon, Turkey
Article Tools
Follow on us
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.
Unsteady Flow, Power-Law Fluids, Non-Isothermal Surface
To cite this article
Muhammet Yurusoy, The Time-Dependent Similarity Solutions of Boundary Layer Equations of Power-Law Fluids with Non-Isothermal Surface, Applied and Computational Mathematics. Vol. 3, No. 5, 2014, pp. 235-239. doi: 10.11648/j.acm.20140305.17
Yürüsoy M., 2006, Unsteady boundary layer flow of power-law fluid on stretching sheet surface, Internat. J. Engrg. Sci., 44, 325–332
Yürüsoy M., Pakdemirli M., 1997, Symmetry reduction of unsteady threedimensional boundary layers of some non-Newtonian fluids., Internat. J. Engrg. Sci., 35, 731–740.
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
Schowalter W.R.,1960, The application of boundary-layer theory to power-law pseudoplastic fluids: similarity solutions, AIChE J., 6, 25–28.
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.
Ece C. E., 2001, Free convection to power-law fluids from a vertical cone of variable surface temperature. 25, 1221-1232.
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.
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.
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.
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.
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.
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.
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.
Science Publishing Group
1 Rockefeller Plaza,
10th and 11th Floors,
New York, NY 10020
Tel: (001)347-983-5186