Extension of the Equilibrium Eulerian method
Abstract
The equilibrium Eulerian method provides an accurate approximation to the velocity field of sufficiently small dispersed particles in a turbulent fluid. It is therefore employed as an efficient alternative to solving a PDE to determine the particle velocity field, one which captures the important physics of particle response to turbulent flow (e.g., preferential concentration and turbophoresis). Here we explore two possible extensions of the method to determine particle temperature fields accurately and efficiently, as functions of the underlying fluid velocity and temperature fields. Both extensions are shown to be highly accurate for asymptotically small particles, theoretically. Their behavior for finitesize particles is assessed in a DNS of turbulent channel flow (Re_τ = 150) with a passive temperature field (Pr = 1). It is found that both extensions are useful in practice  one is more efficient, the other more accurate  under the appropriate conditions. These conditions are more complicated than in the velocity field case, however, exhibiting a dependence on both the particle's velocity response time and its thermal response time.
 Publication:

APS Division of Fluid Dynamics Meeting Abstracts
 Pub Date:
 November 2003
 Bibcode:
 2003APS..DFD.MG005F