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Heat transfer in the Knudsen layer.

Felix Sharipov¹

¹Departamento de Física, Universidade Federal do Paraná, Caixa Postal 19044, 81531-990, Curitiba, Brazil. sharipov@fisica.ufpr.br

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|July 13, 2004

Summary

A new surface heat conductivity concept governs heat transfer in the Knudsen layer. This factor, comparable to bulk heat transfer, is crucial for accurate calculations and is linked to the thermal slip coefficient.

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Area of Science:

Thermodynamics
Fluid Dynamics
Surface Science

Background:

Heat transfer in rarefied gases is complex.
The Knudsen layer significantly influences surface heat exchange.
Existing models may not fully capture surface effects.

Purpose of the Study:

Introduce a surface heat conductivity concept.
Analyze its significance in the Knudsen layer.
Relate it to established thermal transport coefficients.

Main Methods:

Theoretical formulation of surface heat conductivity.
Analysis of Knudsen number dependence.
Application of the Onsager principle.

Main Results:

Defined surface heat conductivity for Knudsen layer heat transfer.
Demonstrated its Knudsen number dependence is similar to bulk heat transfer.
Established a relationship between surface heat conductivity and thermal slip coefficient.

Conclusions:

Surface heat conductivity is essential for accurate heat transfer calculations in rarefied gases.
The Onsager principle provides a theoretical link to thermal slip.
This concept enhances understanding of non-continuum heat transport phenomena.

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