Contact heat transfer in granular material under vacuum

Effect of temperature and pressure on the thermal conductivity of sandstone

“…He assumed that particles touch at flattened regions resulting from elastic deformation. Chan and Tein [78] like Kaganer [128] assumed that particles contact at surfaces flattened by elastic deformation. They studied analytically the heat transfer through the solid phase of a packed bed of spheres bounded by two infinite plane surfaces of different temperatures.…”

“…1. The problem of conduction through arrays of particles that touch at flat surfaces is considered in detail by several authors [78,[128][129][130]. Yovanovic [129] estimated the ETC of elastic spheres bounded by plane surfaces.…”

“…Yovanovic [129] estimated the ETC of elastic spheres bounded by plane surfaces. Kaganer [128] estimates the ETC of a bed of spherical particles in a vacuum. He assumed that particles touch at flattened regions resulting from elastic deformation.…”

“…a 2 for face-center cubic, a is the outer radius [128] l=l S ¼ S P ½ð1 À m 2 ÞPc=E 1=3 , S P is the parameter that captures the packing arrangement dependence, P C ¼ S f P=N A , m is the Poisson's ratio, S P ¼ 1.36 for simple cubic, S P ¼ 1.96 for body center cubic, and S P ¼ 2.72 for face-center cubic [78] pressure is increased, T 0 tend to increase, because with increase of v, and decrease of g with pressure. This is very important result for geophysical purposes when high temperature is accompanied by high pressures.…”

Model for effective thermal conductivity of a dry snow cover composed of uniform ice spheres

“…For example, in simple cubic packing each sphere contacts six other spheres with one contact on the top and one on the bottom of the sphere. Kaganer (1966) shows the heat flux of one sphere by conduction through the contacts to be…”