Local Non-Similarity Solutions for a Forced-Free Boundary Layer Flow with Viscous Dissipation
1
Department of Mathematics and Applied Mathematics, University of Pretoria, South Africa
2
School of Computational and Applied Mathematics, University of the Witwatersrand, South Africa
*
Authors to whom correspondence should be addressed.
Math. Comput. Appl. 2010, 15(4), 558-573; https://doi.org/10.3390/mca15040558
Published: 1 December 2010
Abstract
The boundary layer flow over a horizontal plate with power law variations in the freestream velocity and wall temperature of the form Ue ∼ xn and Tw − T∞ ∼ xm and with viscous dissipation, is studied. The boundary layer equations are transformed to a dimensionless system of equations using a non–similarity variable ξ(x) and a pseudo-similarity variable η (x, y). The effects of the various parameters of the flow on velocity and temperature distribution in the boundary layer, on the local skin friction and local heat transfer coefficients and on the non–similar terms, are investigated.
Share and Cite
MDPI and ACS Style
Mureithi, E.W.; Mason, D.P. Local Non-Similarity Solutions for a Forced-Free Boundary Layer Flow with Viscous Dissipation. Math. Comput. Appl. 2010, 15, 558-573. https://doi.org/10.3390/mca15040558
AMA Style
Mureithi EW, Mason DP. Local Non-Similarity Solutions for a Forced-Free Boundary Layer Flow with Viscous Dissipation. Mathematical and Computational Applications. 2010; 15(4):558-573. https://doi.org/10.3390/mca15040558
Chicago/Turabian StyleMureithi, E.W., and D.P. Mason. 2010. "Local Non-Similarity Solutions for a Forced-Free Boundary Layer Flow with Viscous Dissipation" Mathematical and Computational Applications 15, no. 4: 558-573. https://doi.org/10.3390/mca15040558
