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Influence of the Prandtl number on the unsteady thermo-fluid dynamic field around a thick plate. (English) Zbl 1158.76322
Summary: The problem of a semi-infinite “thick” plate impulsively accelerated to a constant speed is discussed, considering a compressible laminar boundary layer when the thermo-fluid dynamic field in the flow is coupled with the thermal field in the solid (conjugated heat transfer). Different cases are defined by the boundary condition for the thermal field on the unwetted plate side, A first-order analytical approximation of a more general method of solution is here proposed, with emphasis to the analysis of the effects of the Prandtl number (Pr), when the temperature on the unwetted side of the plate is assumed constant. The comparison with some reference solution available for the limiting conditions of steady flow and plate of infinite length shows a very satisfactory accuracy of the present results in spite of the first order approximation.

76D10 Boundary-layer theory, separation and reattachment, higher-order effects
80A20 Heat and mass transfer, heat flow (MSC2010)
Full Text: DOI
[9] Pozzi, A., Tognaccini, R. and Della Rocca, A.,’Coupling of convection and conduction in the fluid with conduction in the solid: spatial and temporal singularities’, 5th Euromech Fluid Mechanics Conference, 24–28 August 2003, Toulouse,Francia, abstract only, XVI AIMETA Conference, Ferrara, 9–12 September 2003, CD-ROM.
[14] Schlichting, H., Boundary-layer Theory, McGraw-Hill, 6th edn., 1968. · Zbl 0096.20105
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