2014
DOI: 10.1155/2014/718319
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Similarity Solutions for Flow and Heat Transfer of Non-Newtonian Fluid over a Stretching Surface

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 variab… Show more

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Cited by 10 publications
(3 citation statements)
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“…In the research of the numerical simulation of the fluid-film, firstly the continuous physical fields in spatial domain were replaced, such as the velocity and the pressure fields, with a set of a finite number of variable values at discrete points, and then the algebraic equations about the relationship between these variables field variables at discrete points were established [5]. Finally, these algebraic equations were solved to obtain an approximation of the field variables.…”
Section: Computed Methodsmentioning
confidence: 99%
“…In the research of the numerical simulation of the fluid-film, firstly the continuous physical fields in spatial domain were replaced, such as the velocity and the pressure fields, with a set of a finite number of variable values at discrete points, and then the algebraic equations about the relationship between these variables field variables at discrete points were established [5]. Finally, these algebraic equations were solved to obtain an approximation of the field variables.…”
Section: Computed Methodsmentioning
confidence: 99%
“…The velocity components and temperature in the normalized form are introduced as follows (Sojoudi et al, 2014):…”
Section: Mathematical Formulationmentioning
confidence: 99%
“…Parmar and Timol [17] developed a generic technique for solving the Rayleigh issue for an MHD Sisko fluid using a one-parameter general group transformation. Using a two-parameter group, Sojoudi et al [18] established an efficient solution for free unstable convection, non-Newtonian fluid flow across a vertical plate moving continuously and exposed to heat flux constantly. For a magnetic nano fluid, the group analysis of its free convection flow with chemical reaction problem was by Uddin et al [19].…”
Section: Introductionmentioning
confidence: 99%