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Online ISSN 1552-4485; Print ISSN 0033-569X
The boundary layer due to a moving heated line on a horizontal surface
Author:
C. Y. Wang
Journal:
Quart. Appl. Math. 46 (1988), 181-191
MSC:
Primary 76R10; Secondary 76N05
DOI:
https://doi.org/10.1090/qam/934691
MathSciNet review:
934691
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Abstract | References | Similar Articles | Additional Information
Abstract: A line heat source lies on an adiabatic horizontal surface. The governing equations under Boussinesq approximation show nonexistence of horizontal boundary layers if the source is still. Boundary layer solutions exist only when the source is moving laterally on the bottom surface with a certain minimum speed. Perturbation solutions for weak heat input agree well with exact numerical integration. The velocity and temperature profiles show similarity. Nonexistence and nonuniqueness are found.
- Keith Stewartson, On the free convection from a horizontal plate, Z. Angew. Math. Phys. 9a (1958), 276–282 (English, with German summary). MR 102293, DOI https://doi.org/10.1007/BF02033031 W. N. Gill, D. W. Zeh, and E. Del-Casal, Free convection on a horizontal plate, Zeit. Angew. Math. Phys. 16, 539–541 (1965) Z. Rotem and L. Claassen, Natural convection above unconfined horizontal surfaces, J. Fluid Mech. 38, 173–192 (1969)
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Article copyright:
© Copyright 1988
American Mathematical Society