The molecular ET theories of these two types of gas are based on the moment balance equations with different hierarchy structures due to whether the internal degrees of freedom of a molecule are incorporated in their distribution functions or not. In particular, the number of balance equations in...
Accordingly, the free energy is the sum of three parts: (47.5)F=−NTlog[eVN(mT2πℏ2)3/2]+Frot+Fvib+Nε0, where m = m1 + m2 is the mass of the molecule. The first term may be called the translational part Ftr (since it arises from the degrees of freedom of the ...
Monatomic gases like helium have only three degrees of freedom, corresponding to the three dimensions of space, {x,y,z }, and only such spherically symmetric molecules escape this kind of loss. 单原子气体如氦气只有三个自由度,相当于一个三维空间坐标 {x,y,z } , 只有这种球形对称分子没有这种...
The theory of thermal relaxation of translational degrees of freedom as developed by Sather and Dahler has been applied to the thermal conduction in mixtures of monatomic gases. The thermal conductivity expression of Cowling, Gray and Wr... MP Saksena,SC Saxena,S Mathur - 《Transactions of the ...
The MET theories of these two types of gases are based on the moment balance equations with different hierarchy structures due to whether the internal degrees of freedom of a molecule are incorporated in their distribution functions or not. In particular, the number of balance equations in the ...
Then we consider the singular limit where the degrees of freedom of a molecule approach 3, and we prove that, by imposing appropriate initial conditions, the solutions for polyatomic gases converge to the ones for monatomic gases. As examples of the singular limit, the asymptotic behaviors of ...
The closure depends on a parameter a>-1 that is related to the degrees of freedom of gas. In this paper it is proven that in the singular limit for a-1 the field equations converge to the system obtained by relativistic extended thermodynamics theory of monatomic gas by ...
The supersonic expansion of a mixture of a heavy gas and a light gas may result in a velocity slip and a temperature difference between light and heavy species. The purpose of this paper is to study the influence of these phenomena on the relaxation of internal degrees of freedom which ...
Molecular RET with an arbitrary number of field-variables for polyatomic gases is also discussed and the theory is proved to be perfectly compatible with the kinetic theory in which the distribution function depends on an extra variable that takes into account a molecules internal degrees of freedom...
The presence of internal degrees of freedom of gas molecules displaces the transitional range toward the greater values of the Jeans parameter and leads to an increase in the outflow velocity and the gas temperature; however, in the initial region the latter effect is expressed only slightly. ...