Fluctuating boundary layer on a heated horizontal plate
Abstract
The paper deals with the boundary layer flow and heat transfer on a horizontal plate whose temperature differs from that of ambient fluid. The basic flow is purely induced by buoyancy which is caused by the difference of temperature in the plate and the fluid. The oscillation in the plate temperature causes a timedependent boundary layer flow and heat transfer. Two separate solutions for high and low frequency ranges are developed. The velocity and temperature fields are obtained with the help of KarmanPohlhausen method in the low frequency range while for high frequencies a series expansion in terms of frequency parameters is used. For very high frequencies, the oscillatory flow pattern is of 'shear wave' type unaffected by the mean flow and predicts a phase lead of pi/4 in the local rate of heat transfer fluctuations while the skin friction has a phase lead of pi/2.
 Publication:

Acta Mechanica
 Pub Date:
 1978
 Bibcode:
 1978AcMec..30..111S
 Keywords:

 Boundary Layer Flow;
 Convective Heat Transfer;
 Flat Plates;
 Free Convection;
 Oscillating Flow;
 Temperature Effects;
 Base Flow;
 Buoyancy;
 S Waves;
 Skin Friction;
 Temperature Distribution;
 Two Dimensional Flow;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer