Similarity solutions for flow and heat transfer of non-Newtonian fluid over a stretching surface

Sojoudi, Atta, Mazloomi, Ali, Saha, Suvash C., & Gu, YuanTong (2014) Similarity solutions for flow and heat transfer of non-Newtonian fluid over a stretching surface. Journal of Applied Mathematics, 2014, pp. 718319-1.

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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.

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ID Code: 71388
Item Type: Journal Article
Refereed: Yes
Keywords: Similarity Solutions, Fluid Flow and Heat Transfer, Non-Newtonian Fluid, Stretching Surface
DOI: 10.1155/2014/718319
ISSN: 1110-757X
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > NUMERICAL AND COMPUTATIONAL MATHEMATICS (010300) > Numerical Solution of Differential and Integral Equations (010302)
Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > MECHANICAL ENGINEERING (091300) > Numerical Modelling and Mechanical Characterisation (091307)
Divisions: Current > Schools > School of Chemistry, Physics & Mechanical Engineering
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2014 Atta Sojoudi et al.
Copyright Statement: This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Deposited On: 12 May 2014 22:31
Last Modified: 14 May 2014 00:35

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