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Heat Transfer-1 (color)

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Kinetic Theory of Gases:<br />

assumes ideal gas behavior.<br />

Chapman-Erskog Theory:<br />

accounts for pairwise interactions<br />

based on the Lennard-Jones potential.<br />

T: absolute temperature<br />

m: molecular mass<br />

M: molar mass<br />

d: molecular diameter<br />

k b: Boltzmann constant<br />

Ω k, σ: related to Lennard-Jones potential<br />

k =<br />

k =<br />

1<br />

3 / 2 d 2<br />

1.9891 ⋅10 −4<br />

Ω k 2<br />

k<br />

3<br />

T<br />

b<br />

m<br />

T<br />

M<br />

see viscosity<br />

section for<br />

discussion on Ω k<br />

Chapman-Erskog theory accounts better than the Kinetic<br />

Theory for the temperature dependence of interactions.

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