Granular temperature conductivity

Knowing 0, the solid phase pressure and the solid phase bulk and shear viscosities can be calculated from formulae derived by Tun et al. [1984]. The granular temperature conductivity, k, has also been formulated by Tun et al. [1984]. y has been modeled in terms of 0 by Jenkins and Savage [1983]. For dense regimes, the interphase momentum transfer coefficient, / , can be calculated from the Ergun equation already encountered in Chapter 11 on fixed bed reactors [Gidaspow, 1994]. For dilute regimes, a correlation has been proposed by Wen and Yu [1966]. 

How does the granular metal conductivity depend on composition What is the difference between the temperature dependencies of conductivity for v>v c and x[Pg.633]

The total heat flux is modeled in accordance with (4.95). Hence, the conductivity of the granular temperature is calculated from [50] ... 

E.2.4 Calculation of the Granular Heat Conduction in the Granular Temperature Equation... 

Although experimentally the low temperature regime is well within the experimental reach [1, 2], it has never been addressed theoretically so far. The important question whether the system is a metal or becomes an insulator, in other words, whether the conductivity of the granular metals at large conductances remain finite in the limit of T —> 0 is still open. 

It follows from Eq. (4) that at low temperatures, T < for a 3d granular array, there are no essential corrections to the conductivity coming from the low energies since the correction 5a2 is always small. This means that the result for the renormalized conductance, cjt of Ref. [3] (see also [10]) for 3D samples within the logarithmic accuracy can be written as... 

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