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Conduction of Heat in Solids H. S. Carslaw, J. C. Jaeger
Publisher: Oxford University Press, USA

Heat can be transferred from one place to another by three methods: conduction in solids, convection of fluids (liquids or gases), and radiation through anything that will allow radiation to pass. Currently I should simulate the heat conduction through the pulverised materials (like sand) in CFX. In general “heat transfer” can be considered to explain both the Mpemba and the Leidenfrost effect, and there are three modes of heat transfer. Also, there is no reason why to leave the idea the earth is billions of years as related to heat flow behind. Heat energy is the result of the movement of tiny particles called atoms, molecules or ions in solids, liquids and gases. The greatest flow of heat possible between materials is where there is a direct conduction between solids. I merely didn't want to derail your present argument. Conductive Heat Transfer Heat-transfer equipment in which heat is transferred by conduction is so constructed that the solids load (burden) is separated from the heating medium by a wall. Conduction transfers heat energy through one substance to another when they are in direct contact. I don´t think it´s a good idea to model it as a continous solid because of the gap between the sand grains. An example of conduction through contact between two solids is a cooking pot on the solid surface of a hot stove. Of Semiconductor Devices; Charles Kittel, Introduction to Solid State Physics; C. Carslaw, Introduction to the Mathematical Theory of the Conduction of Heat in Solids; P. In the event that heat transfer occurs through several solids, the above equation can be adapted by supplementing the solid's thickness (L) divided by its thermal conductivity (λ). Allen, Astrophysical Quantities; H. In this type of heat transfer, molecules don't move but they transfer energy using vibrations.