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Unsteady heat transfer in impulsive Falkner–Skan flows: constant wall temperature case. (English) Zbl 1051.76543

Summary: A theoretical study of the velocity and thermal boundary-layer growth resulting from an impulsively started Falkner-Skan flow is presented in this paper. The forced convection, thermal boundary-layer is produced by the sudden increase of the surface temperature as it is set into motion. Analytical solutions for the simultaneous development of the thermal and momentum boundary layers are obtained for both small (initial, unsteady flow) and large (steady-state flow) times. These solutions are then matched numerically using a very efficient finite-difference scheme. Some considerable attention to the steady-state flow solution (large time) is also given in this paper. Results of the calculations are presented for a range of values of the Falkner-Skan exponent m and the Prandtl number Pr.

MSC:

76D10 Boundary-layer theory, separation and reattachment, higher-order effects
80A20 Heat and mass transfer, heat flow (MSC2010)
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