Heat And Mass Transfer In Evaporating
Turbulent Drop-laden Flow
Author(s)
R. Groll
Abstract
This work deals with the computational modelling of the mass transition of
evaporating liquid drop-laden gas flows. In the present study the evaporation
model due to Abramzon and Sirignano (1989) has been extended by introducing
an additional transport equation for a newly defined quantity a, defined as the
phase-interface surface fraction. This allows the change in the drop diameter to
be quantified in terms of a probability density function. The source term in the
equation describing the dynamics of the volumetric fraction of the dispersed phase
αD is related to the evaporation time scale τΓ.
Keywords: Euler/Euler approach, Euler/Lagrange approach, gas/liquid flow,
evaporation model, heat and mass transfer, volume and surface fraction.
1 Introduction
The dimensionless numbers characterizing the heat and mass exchange process are
Nusselt numberNu and Sherwood number Sh. Several models (e.g. Renksizbulut
and Yuen [1] and Park et al. [2]) are based on the correlation model of Ranz and
Marshall [3] and have been developed to model the parameters. The evaporation
rate model of Abramzon and Sirignano [4] considers additionally the latent
heat flux of the evaporated liquid leaving the droplet. The correct capturing of
the gas phase humidity requires the liquid vapor mass ratio Y , influenced by
convective, conductive, turbulent and thermal diffusive effects, to be computed
from an appropriate transport equation in addition to the equation governing the
temperature field T .
In an evaporating process the mass transfer rate on the drop surface depends on
the drop size. The polydispersed spray consists of drops with different diameters.
Keywords
Euler/Euler approach, Euler/Lagrange approach, gas/liquid flow,
evaporation model, heat and mass transfer, volume and surface fraction
Related Book
Other papers in this volume
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