Heat transfer between parallel plates: An approach based on the linearized Boltzmann equation for a binary mixture of rigid-sphere gases

2007 ◽  
Vol 19 (2) ◽  
pp. 027102 ◽  
Author(s):  
R. D. M. Garcia ◽  
C. E. Siewert
Keyword(s):  
Heat Transfer ◽  
Boltzmann Equation ◽  
Binary Mixture ◽  
Rigid Sphere ◽  
Parallel Plates ◽  
Linearized Boltzmann Equation

Heat Transfer Through a Gas Between Parallel Plates

1977 ◽  
Vol 32 (9) ◽  
pp. 914-926 ◽  
Author(s):  
L. Waldmann
Keyword(s):  
Heat Transfer ◽  
Particle Distribution ◽  
Temperature Jump ◽  
Exact Formula ◽  
Parallel Plates ◽  
Total Heat Transfer ◽  
Linearized Boltzmann Equation ◽  
Scattering Kernel ◽  
Interfacial Scattering ◽  
Transport Relaxation

Within the framework of boundary conditions recently developed for the linearized Boltzmann equation 1 the problem of heat transfer between parallel plates can be solved in terms of "transport- relaxation eigenfunctions". The particle distribution function and the total heat transfer in the Knudsen case are exactly expressed by integrals over the interfacial scattering kernel occurring in the new scheme. A detailed discussion of the general case gives an exact formula and sign statement for the temperature jump at parallel plates. An approximation, which encompasses v. Smoluchowski's approach, lies at hand. This approximation is also readily confirmed by a moment method.

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