Spatial stochasticity and non-continuum effects in gas flows

DOI10.1016/j.physleta.2012.01.004zbMath1255.82049OpenAlexW1980169070WikidataQ59766120 ScholiaQ59766120MaRDI QIDQ1933217

S. Kokou Dadzie, Jason M. Reese

Publication date: 22 January 2013

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://strathprints.strath.ac.uk/40384/

zbMATH Keywords

Brownian motionstochastic equationsound wave propagationgas kinetic equationmass/volume diffusionnon-continuum flow

Mathematics Subject Classification ID

Brownian motion (60J65) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Hydro- and aero-acoustics (76Q05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20)

Related Items (5)

Steady-state heat conduction in a gas undergoing rigid-body rotation. Comparison of Navier-Stokes-Fourier and bivelocity paradigms ⋮ Nonequilibrium diffusive gas dynamics: Poiseuille microflow ⋮ Diffusive Boltzmann equation, its fluid dynamics, Couette flow and Knudsen layers ⋮ A new Eulerian model for viscous and heat conducting compressible flows ⋮ Beyond Navier-Stokes

Cites Work

• Unnamed Item
• The stochastic Boltzmann equation and hydrodynamic fluctuations
• Stochastic ordinary and stochastic partial differential equations. Transition from microscopic to macroscopic equations.
• The structure of shock waves as a test of Brenner's modifications to the Navier–Stokes equations
• Beyond Navier–Stokes: Burnett equations for flows in the continuum–transition regime
• Macroscopic descriptions of rarefied gases from the elimination of fast variables
• A nonmolecular derivation of Maxwell’s thermal-creep boundary condition in gases and liquids via application of the LeChatelier–Braun principle to Maxwell’s thermal stress
• A volume-based hydrodynamic approach to sound wave propagation in a monatomic gas
• A high-order moment approach for capturing non-equilibrium phenomena in the transition regime
• Stochastic Problems in Physics and Astronomy

This page was built for publication: Spatial stochasticity and non-continuum effects in gas flows