Analysis of heat conduction in a rarefied gas at rest with a temperature jump at the boundary by consistent-order extended thermodynamics

作者：Zhao Nanrong^*; Sugiyama Masaru

来源：Continuum Mechanics and Thermodynamics, 2007, 18(6): 367-376.

DOI：10.1007/s00161-006-0030-9

• consistent-order extended thermodynamics
• rarefied gas
• temperature jump
• entropy production at the boundary

In the context of the first- and second-order theories of consistent-order extended thermodynamics, a systematic approach is established for analyzing the temperature jump at the boundary through studying one-dimensional stationary heat conduction in a rarefied gas at rest. Thereby an approach to the free boundary-value problem in general is explored. Boundary values of temperature are assumed to be in the form of power expansion with respect to the Knudsen number, based on which analytical expressions of the temperature jump aswell as entropy production at the boundary are derived explicitly. Dependencies of these two boundary quantities on both the Knudsen number and accommodation factor are also extensively discussed. The present analysis is expected to be the basis for the study of higher-order theories of consistent-order extended thermodynamics.

• 出版日期2007-1
• 单位四川大学