The final approach to steady state in nonsteady stagnation point heat transfer
Abstract
The thermal response of a laminar boundary layer flow near a stagnation point due to step wall temperature change is investigated when the elapsed time is large. The final approach to the steady state temperature field is shown to be characterized by exponential decay with time of perturbations from the steady state. The characteristic factors appearing in the exponents arise from the solution of an eigenvalue problem in ordinary linear differential equations. Results are presented for Prandtl numbers of 0.01 to 100 for two dimensional stagnation flow and 0.1 to 10 for axisymmetrical stagnation flow.
 Publication:

Journal of Engineering Mathematics
 Pub Date:
 April 1976
 DOI:
 10.1007/BF01535660
 Bibcode:
 1976JEnMa..10..173J
 Keywords:

 Boundary Layer Flow;
 Convective Heat Transfer;
 Laminar Boundary Layer;
 Stagnation Point;
 Steady State;
 Wall Temperature;
 Asymptotic Methods;
 Axisymmetric Flow;
 Boundary Layer Equations;
 Eigenvalues;
 Incompressible Flow;
 Space Commercialization;
 Stagnation Flow;
 Steady Flow;
 Temperature Effects;
 Two Dimensional Flow;
 Fluid Mechanics and Heat Transfer