Effect of nonuniformities of velocity and temperature of an approaching flow on the flow and heat transfer over an isothermal flat plate
Abstract
The effect of nonuniformities of approachflow velocity and temperature on the laminar flow and heat transfer on an isothermal flat plate is investigated. Specific considerations are given to approach flows of parabolic velocity and temperature distributions. The governing equations are transformed to a nondimensional form where a local nonsimilar technique is used to obtain solution. The results showed that both the wall shear stress and heat flux depend mainly on the approachstream velocity and temperature at the plate leading edge. The approachstream shear and its derivative are found to have minor effects on the plate shear stress and heat flux. Likewise, the gradient of the approachstream temperature and its second derivative have minor effects on the plate heat flux. Therefore, it was concluded that for the present range of parameters of the nonuniform approach flow the solution of the classical boundary layer of an approach flow with uniform velocity and temperature, equal to those at the leading edge of the plate in the nonuniform flow, can be used with a maximum uncertainty less than 4.5%.
 Publication:

Journal of Engineering and Applied Sciences
 Pub Date:
 1981
 Bibcode:
 1981JEAS....1...77E
 Keywords:

 Aerothermodynamics;
 Flat Plates;
 Flow Velocity;
 Laminar Flow;
 Laminar Heat Transfer;
 Temperature Effects;
 Boundary Layer Flow;
 Computational Fluid Dynamics;
 Heat Flux;
 Isothermal Processes;
 Nonuniform Flow;
 Shear Stress;
 Temperature Distribution;
 Thermal Boundary Layer;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer