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The laminar free-convection boundary layer on a vertical heated plate in the neighbourhood of a discontinuity in plate temperature

Published online by Cambridge University Press:  09 April 2009

R. K. Smith
R. K. Smith
Affiliation:
The University of ManchesterManchester, U.K.
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If velocity and temperature profiles are known at a particular distance along a vertical heated plate, the equations of motion determine the velocity and temperature at points downstream, for a given varition of plate temperature. The problem of continuing the boundary layer solution for given initial conditions was investigated by Goldstein [2], for the isothermal case of the laminar, incompressible flow past plate, with a given streamwise varitain of pressure gradient outside the boundary layer. He showed that the solution is not always free from singularities and developed an expansion procedure to calculate the flow downstream when these occurred. Typical singularities occur, for instance, near the leading edge of the plate where the no-slip condition is imposed on the plate surface and near the trailing edge, where this condition is relaxed to one of zero stress along the axis of symmetry of the wake.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 11 , Issue 2 , May 1970 , pp. 149 - 168
Copyright
Copyright © Australian Mathematical Society 1970

References

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