Local Non-Similarity Solutions for a Forced-Free Boundary Layer Flow with Viscous Dissipation

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Abstract

Description

The boundary layer flow over a horizontal plate with power law vari-ations in the freestream velocity and wall temperature of the form U e ∼ x n and T w − T ∞ ∼ x m and with viscous dissipation, is studied. The boundary layer equa-tions 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 pa-rameters 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.

Keywords

Boundary layer, Non-similarit, Viscous dissipation, Buoyancy, Temperature overshoot, Super–velocities

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