Heat transfer in a strongly nonlinear spatially developing longitudinal vorticity system

In the present paper, the heat‐transfer problem in a nonlinearly developing longitudinal vorticity system that arose from upstream weak Gortler vortices is considered. The general situation in which the Prandtl number (Pr) is different from unity is studied. The heat transport equation must be integrated for each Pr. The present paper presents results for gaseous (Pr<1) and liquid [Pr=O(10)] media, with the downstream integration carried out for three‐dimensional advecting velocities in a spatially developing longitudinal vorticity system [Phys. Fluids A 4, 95 (1992)]. The behavior of the gaseous system is not significantly different from the Pr=1 situation; for a liquid system the isotemperature structures develop into thin, palm‐tree‐like figures in the cross‐sectional plane. It is shown that for larger Pr, local surface heat‐transfer rates are significantly enhanced over the local Blasius–Pohlhausen flat‐plate value (by about 400% in the example computed for an initially amplified Gortler vortex for Pr...