Full-field modeling of heat transfer in asteroid regolith: Radiative
thermal conductivity of polydisperse particulates
Abstract
Characterizing the surface material of an asteroid is important for
understanding its geology and for informing mission decisions, such as
the selection of a sample site. Diurnal surface temperature amplitudes
are directly related to the thermal properties of the materials on the
surface. We describe a numerical model for studying the thermal
conductivity of particulate regolith in vacuum. Heat diffusion and
surface-to-surface radiation calculations are performed using the finite
element (FE) method in three-dimensional meshed geometries of randomly
packed spherical particles. We validate the model for test cases where
the total solid and radiative conductivity values of particulates with
monodisperse particle size frequency distributions (SFDs) are determined
at steady-state thermal conditions. Then, we use the model to study the
bulk radiative thermal conductivity of particulates with polydisperse,
cumulative power-law particle SFDs. We show that for each polydisperse
particulate geometry tested, there is a corresponding monodisperse
geometry with some effective particle diameter that has an identical
radiative thermal conductivity. These effective diameters are found to
correspond very well to the Sauter mean particle diameter, which is
essentially the surface-area–weighted mean. Next, we show that the
thermal conductivity of the particle material can have an important
effect on the radiative component of the thermal conductivity of
particulates, especially if the particle material conductivity is very
low or the spheres are relatively large, owing to non-isothermality in
each particle. We provide an empirical correlation to predict the
effects of non-isothermality on radiative thermal conductivity in both
monodisperse and polydisperse particulates.