Probability density function modeling of evaporating droplets dispersed in isotropic turbulence
Probability density function modeling of evaporating droplets dispersed in isotropic turbulence
In this paper, we use a statistical closure scheme to obtain an approximate equation for probability density function (pdf) to predict the statistical properties of interest of collisionless evaporating droplets suspended in isothermal isotropic turbulent flows. The resulting Fokker-Planck equation has nonlinear, time-dependent drift and diffusion coefficients that depend on the statistical properties of droplet's slip velocity. Approximate analytical expressions for these properties are derived and the equation is solved numerically after implementing the pathintegral approach. Time evolution of various statistical properties related to droplet diameter are then calculated and compared with the data available from the stochastic (STH) and direct numerical simulations (DNS) studies of Mashayek.1
- University of Chicago United States
- University of Illinois System United States
- University of Illinois at Chicago United States
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