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Linear kinetic heat transfer: Moment equations, boundary conditions, and Knudsen layers

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  • Struchtrup, H.

Abstract

A linear kinetic equation for heat transfer is solved by means of the method of moments. The moment equations are solved with Maxwell-type boundary conditions for steady state energy transport. The results exhibit marked Knudsen boundary layers. The accuracy of the description is examined, and it is shown that already a relatively small number of moments can give satisfactory resolution of Knudsen layers for Knudsen numbers ε≤1. The implications for moment equations for more complicated kinetic equations (such as the Boltzmann equation) are discussed.

Suggested Citation

  • Struchtrup, H., 2008. "Linear kinetic heat transfer: Moment equations, boundary conditions, and Knudsen layers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(8), pages 1750-1766.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:8:p:1750-1766
    DOI: 10.1016/j.physa.2007.11.044
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    References listed on IDEAS

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    1. Struchtrup, Henning, 2000. "Extended moment method for electrons in semiconductors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 275(1), pages 229-255.
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