Thermal conductivity and dynamic pressure in extended thermodynamics of chemically reacting mixture of gases. (English) Zbl 0964.80007

Kremer, G. M.; Müller, Ingo

Ann. Inst. Henri Poincaré, Phys. Théor. 69, No. 3, 309-334 (1998).

Summary: While in a single non-relativistic gas the dynamic pressure vanishes, it is of order \({\mathcal O}(\frac{1}{c^2})\) in a relativistic gas. This was shown in a previous paper [ibid. 67, No. 2, 111-121 (1997; Zbl 0885.76088)]. In the present paper we show that the dynamic pressure in a reacting gas is of \({\mathcal O}(1)\), i.e. even a non-relativistic mixture of gases has a non-vanishing bulk viscosity. The value of that viscosity is determined by the mass-defect \(M\), or the heat of reaction \(Mc^2\), and the thermal conductivity is also affected by the heat of reaction. In an example of dissociation of iodine the bulk viscosity can be as big as 50% of the shear viscosity and the thermal conductivity has twice the normal value. The results of the paper may be of interest to the cosmologist who is interested in the early universe.

MSC:

80A32	Chemically reacting flows
85A30	Hydrodynamic and hydromagnetic problems in astronomy and astrophysics
76N15	Gas dynamics (general theory)
80A10	Classical and relativistic thermodynamics
83C55	Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.)

Keywords:

thermodynamics; dynamic pressure; reacting gas; non-vanishing bulk viscosity; thermal conductivity

Citations:

Zbl 0885.76088

References:

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