Gasdynamic equations of higher approximations of the Chapman-Enskog method. Review
DOI10.1007/BF02698212zbMath0943.76068OpenAlexW2052691268MaRDI QIDQ1304550
M. Sh. Shavaliev, V. S. Galkin
Publication date: 5 September 2000
Published in: Fluid Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02698212
shock waveperturbation methodsChapman-Enskog methodtransport propertiessound wavesthermodynamics of irreversible processesnonequilibrium statistical mechanicscylindrical Couette flowBurnett approximationaxiomatic continuum mechanics theoryboundary value problems for gasdynamic equationshypersonic hydrodynamicssuper-Burnett approximations
Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Kinetic theory of gases in equilibrium statistical mechanics (82B40) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02)
Related Items (6)
Cites Work
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- Free convection in a gas in the absence of external forces
- Kinetic theory of non-equilibrium fluids
- Kinetic theory and the principle of material frame-indifference in the mechanics of continuous media
- Weakly rarefied gas flows between nonuniformly heated parallel plates
- The principle of material frame-indifference and cylindrical Couette flow of a rarefied gas
- Degeneracy of Chapman-Enskog series for the transport properties in the case of slow steady flows of weak rarefied gases
- On the boundary conditions for the equations of gas dynamics corresponding to the higher approximations in the Chapman-Enskog method of solution of the Boltzmann equation
- Radial diffusion in the Poiseuille flow of a gas mixture
- On the longitudinal heat flux in a Couette flow
- Slow flow of gas around a strongly heated or cooled sphere
- The Boltzmann equation and its applications
- Flow past a strongly heated sphere by a gas with low Reynolds numbers
- On forces due to Barnett stresses acting on bodies in a gas
- Transport phenomena in the Burnett approximation for multicomponent gas mixtures
- Modifications of the Burnett equations and shock wave structure
- Super-Burnett corrections to the stress tensor and the heat flux in a gas of Maxwellian molecules
- Derivation of the equation of slow nonisothermal gas flows
- Heat conduction through a rarefied gas between two rotating cylinders at small temperature difference
- Exact solution of the system of equations of the second-order kinetic moments for a two-scale homoenergetic affine monatomic gas flow
- Some kinetic effects in continuum flows
- Stabilization of the Burnett equations and application to hypersonicflows
- Structure and approximations of the chapman-enskog expansion for the linearized grad equations
- Existence of weak shock wave solutions for higher−order theories of gas dynamics
- Problemi matematici connessi con l'equazione di Boltzmann
- Numerical computation of the hypersonic leading edge problem using the Burnett equations
- Weak shock structure on the basis of modified hydrodynamical equations
- The Burnett equations for a Lorentzian mixture
- Shock waves in gases using molecular dynamics and DSMC methods
- Inappropriateness of the heat-conduction equation for description of a temperature field of a stationary gas in the continuum limit: Examination by asymptotic analysis and numerical computation of the Boltzmann equation
- Perspective on hypersonic nonequilibrium flow
- Stress Induced Diffusion in Monatomic Gases and Gas Suspensions
- Asymptotic Theory of the Boltzmann Equation
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