Analytical solution of plane Couette flow in the transition regime and comparison with direct simulation Monte Carlo data

DOI10.1016/j.compfluid.2014.03.032zbMath1391.76685OpenAlexW2014569850MaRDI QIDQ1641414

Amit Agrawal, Abhimanyu Gavasane, Narendra K. Singh

Publication date: 19 June 2018

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2014.03.032

zbMATH Keywords

rarefied gas flowsKnudsen numberR13 equationslip modelsuper Burnett equation

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Particle methods and lattice-gas methods (76M28)

Related Items (7)

The Burnett equations in cylindrical coordinates and their solution for flow in a microtube ⋮ A novel algorithm for implementing a specified wall heat flux in DSMC: application to micro/nano flows and hypersonic flows ⋮ Numerical analysis of the nonlinear plane Couette-flow problem of a rarefied gas for hard-sphere molecules ⋮ Derivation of extended-OBurnett and super-OBurnett equations and their analytical solution to plane Poiseuille flow at non-zero Knudsen number ⋮ Monte Carlo simulation of nonlinear gravity driven Poiseuille-Couette flow in a dilute gas ⋮ A perturbation-based solution of Burnett equations for gaseous flow in a long microchannel ⋮ Heat flux correlation for high-speed flow in the transitional regime

Cites Work

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• Regularization of Grad’s 13 moment equations: Derivation and linear analysis
• Beyond Navier–Stokes: Burnett equations for flows in the continuum–transition regime
• The usefulness of higher-order constitutive relations for describing the Knudsen layer
• 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

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