ABSTRACT

Increased experimental and theoretical attention is being paid to the effect of organized waves on turbulent shear flows. These waves may be externally imposed, say, by a vibrating ribbon near walls of a channel or may be internally induced, say, in a pulse combustor. Thermal micro-scales for these flows and their significance for heat transfer in pulsating turbulent flows so far appear to be left untreated except for the recent work of Arpaci, et al. The starting point is the dynamical equations for unsteady turbulent shear flows which are already available in the literature. This chapter states that the intuitive Kolmogorov ideas on the microstructure of turbulence are universal and apply to all turbulent flows, but the well-known forms of these scales are for steady isothermal flows. It introduces micro-scales appropriate for oscillating (on the mean) turbulent flows, and modeled skin friction and heat transfer in terms of these scales.