Journal of Applied Mathematics

Similarity Solutions for Flow and Heat Transfer of Non-Newtonian Fluid over a Stretching Surface

Atta Sojoudi, Ali Mazloomi, Suvash C. Saha, and Y. T. Gu

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Abstract

Similarity solutions are carried out for flow of power law non-Newtonian fluid film on unsteady stretching surface subjected to constant heat flux. Free convection heat transfer induces thermal boundary layer within a semi-infinite layer of Boussinesq fluid. The nonlinear coupled partial differential equations (PDE) governing the flow and the boundary conditions are converted to a system of ordinary differential equations (ODE) using two-parameter groups. This technique reduces the number of independent variables by two, and finally the obtained ordinary differential equations are solved numerically for the temperature and velocity using the shooting method. The thermal and velocity boundary layers are studied by the means of Prandtl number and non-Newtonian power index plotted in curves.

Article information

Source
J. Appl. Math., Volume 2014 (2014), Article ID 718319, 8 pages.

Dates
First available in Project Euclid: 2 March 2015

Permanent link to this document
https://projecteuclid.org/euclid.jam/1425305749

Digital Object Identifier
doi:10.1155/2014/718319

Mathematical Reviews number (MathSciNet)
MR3212511

Citation

Sojoudi, Atta; Mazloomi, Ali; Saha, Suvash C.; Gu, Y. T. Similarity Solutions for Flow and Heat Transfer of Non-Newtonian Fluid over a Stretching Surface. J. Appl. Math. 2014 (2014), Article ID 718319, 8 pages. doi:10.1155/2014/718319. https://projecteuclid.org/euclid.jam/1425305749


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