Showing papers by "Vicente Garzó published in 1991"
TL;DR: In this paper, the transport equations were developed by applying the Hilbert method to the Liu model and the pressure tensor and the heat flux vector were calculated to the hydrodynamic order for potentials of the form r−μ.
Abstract: Transport equations are developed by applying the Hilbert method to the Liu model [Phys. Fluids A 2, 277 (1990)]. The pressure tensor and the heat flux vector are calculated to Burnett hydrodynamic order for potentials of the form r−μ. The results are compared with those obtained from the Boltzmann equation.
8 citations
TL;DR: The Boltzmann-Lorentz equation for Maxwell molecules is used to study tracer diffusion in uniform shear flow and it is shown that some values of the mass ratio may prevent the establishment of a hydrodynamic regime.
Abstract: The Boltzmann-Lorentz equation for Maxwell molecules is used to study tracer diffusion in uniform shear flow. It is shown that some values of the mass ratio may prevent the establishment of a hydrodynamic regime. In the region where a hydrodynamic solution exists, a diffusion tensor has been derived by considering terms up to first order in the tracer concentration gradient. This tensor is a highly nonlinear function of both the shear rate and the mass ratio. A comparison with earlier results has been performed.
7 citations
TL;DR: In this paper, the moment equations of the BGK kinetic equation were solved for a steady homogeneous heat flow generated by a non-conservative external force, and it was shown that the presence of the external force leads to a divergence of the thermal conductivity for any finite value of the field strength.
6 citations
TL;DR: In this paper, an exact solution of the Boltzmann equation for a binary mixture of "colored" Maxwell molecules is found, which corresponds to a nonequilibrium homogeneous steady state created by a non-conservative external force.
Abstract: An exact solution of the Boltzmann equation for a binary mixture of “colored” Maxwell molecules is found. The solution corresponds to a nonequilibrium homogeneous steady state created by a nonconservative external force. Explicit expressions for the moments of the distribution function are obtained. By using information theory, an approximate velocity distribution function is constructed, which is exact in the limits of small and large field strengths. Comparison is made between the exact energy flux and the one obtained from the information theory distribution.
6 citations