Thermal resistance correction factors

Also, the overall thermal resistance 1/U must include all thermal resistances, so that the denominator of the introductory expression for y given by Eqn. (23) must be corrected (since U as modeled by Eqn. (22) neglects the thermal resistances of the tubing wall and the two-phase side). The denominator of Eqn. (23) may be corrected by defining a thermal conductance factor... 

To determine the thermophoretic velocity, Stokes law can be utilized by assuming that the Cunningham or slip correction factor (Eq. 5.3) is applicable for cases where Kn > 1. Thermophoretic velocity will be independent of particle diameter since Cc Kn(A + Q) when Kn > 1. Then, equating the thermal force (Eq. 11.8) with the resisting force (Stokes law) and solving for the thermophoretic velocity vT give (Talbot et al., 1980)... 

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