Numerical Solution to Boundary Layer Problems over Moving Flat Plate in Non-Newtonian Media
Author(s) -
Gabriella Bognár,
Zoltán Csáti
Publication year - 2014
Publication title -
journal of applied mathematics and physics
Language(s) - English
Resource type - Journals
eISSN - 2327-4379
pISSN - 2327-4352
DOI - 10.4236/jamp.2014.21002
Subject(s) - boundary layer , exponent , mathematical analysis , boundary (topology) , newtonian fluid , boundary layer thickness , power law fluid , exact solutions in general relativity , blasius boundary layer , generalized newtonian fluid , distribution (mathematics) , parasitic drag , constant (computer programming) , mechanics , boundary value problem , mathematics , physics , viscosity , thermodynamics , computer science , shear rate , philosophy , linguistics , programming language
Our aim is to investigate the solutions to the boundary layer problem of a power-law non-Newtonian fluid along an impermeable sheet moving with a constant velocity in an otherwise quiescent fluid environment. In the absence of an exact solution in closed form, numerical solutions for the velocity distribution in the boundary layer for different power exponents will be presented. Our goal is to give an iterative transformation method for the determination of the skin friction parameter and the boundary layer thickness for different parameter values and the dependence of the skin friction parameter and the boundary layer thickness on the power exponent are examined.
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