The boundary layer due to a moving heated line on a horizontal surface
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.
 Publication:

Quarterly of Applied Mathematics
 Pub Date:
 March 1988
 Bibcode:
 1988QApMa..46..181W
 Keywords:

 Boundary Layer Equations;
 Free Convection;
 Heat Sources;
 Hot Surfaces;
 Thermodynamic Properties;
 Adiabatic Conditions;
 Perturbation Theory;
 Prandtl Number;
 Temperature Profiles;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer