Perturbation analysis of a stationary nonequilibrium flow generated by an external force
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Publication:1906392
DOI10.1007/BF02187068zbMath0839.76076MaRDI QIDQ1906392
Publication date: 24 June 1996
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40)
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A generalized Bhatnagar–Gross–Krook model for nonequilibrium flows ⋮ Couette and Poiseuille microflows: Analytical solutions for regularized 13-moment equations ⋮ A high-order moment approach for capturing non-equilibrium phenomena in the transition regime ⋮ Assessment of the ellipsoidal-statistical Bhatnagar-Gross-Krook model for force-driven Poiseuille flows ⋮ Poiseuille and thermal transpiration flows of a dense gas between two parallel plates ⋮ Solutions of the moment hierarchy in the kinetic theory of Maxwell models ⋮ Coupled nonlinear constitutive models for rarefied and microscale gas flows: subtle interplay of kinematics and dissipation effects ⋮ Maxwellian gas undergoing a stationary Poiseuille flow in a pipe ⋮ Derivation of extended-OBurnett and super-OBurnett equations and their analytical solution to plane Poiseuille flow at non-zero Knudsen number ⋮ Multiple-temperature kinetic model for continuum and near continuum flows ⋮ Multiple temperature model for the information preservation method and its application to nonequilibrium gas flows ⋮ Super-Burnett solutions for Poiseuille flow ⋮ Improved theory for shock waves using the OBurnett equations ⋮ The kinetic scheme for the full-Burnett equations ⋮ Calculation algorithm for the collisional moments of the Boltzmann equation for Maxwell molecules
Cites Work
- The Boltzmann equation and its applications
- Exact solution of the Boltzmann equation in the homogeneous color conductivity problem
- Hydrodynamic limit of the stationary Boltzmann equation in a slab
- Comments on ‘‘A generalized BKW solution of the nonlinear Boltzmann equation with removal’’ [Phys. Fluids 2 7, 2599 (1984)]
- Poiseuille flow driven by an external force
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