Higher order slip according to the linearized Boltzmann equation with general boundary conditions

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 369, Issue 1944, 2011, Pages 2228-2236

  Lorenzani, Silvia ^a  

^a POLITECNICO DI MILANO   (Italy)

Author keywords

Microscale flows; Slip coefficients; Variational method

Indexed keywords

ANALYTICAL EXPRESSIONS; COLLISION OPERATORS; GAS-SURFACE INTERACTION; GENERAL BOUNDARY CONDITIONS; HIGHER ORDER; KNUDSEN NUMBERS; LATTICE BOLTZMANN METHOD; LINEARIZED BOLTZMANN EQUATION; MASS FLOW RATE; MICROSCALE FLOWS; POLYNOMIAL FORM; POTENTIAL APPLICATIONS; SCATTERING KERNELS; SECOND ORDERS; SLIP COEFFICIENTS; VARIATIONAL METHOD; VELOCITY SLIPS;

LINEARIZATION; MATHEMATICAL OPERATORS; ORDINARY DIFFERENTIAL EQUATIONS; VARIATIONAL TECHNIQUES;

BOLTZMANN EQUATION;

EID: 79958817241     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2011.0059     Document Type: Conference Paper

References (8)

1. Sbragaglia, M. & Succi, S. 2005 Analytical calculation of slip flow in lattice Boltzmann models with kinetic boundary conditions. Phys. Fluids 17, 093602. (doi:10.1063/1.2044829)
2. Cercignani, C. & Lorenzani, S. 2010 Variational derivation of second-order slip coefficients on the basis of the Boltzmann equation for hard-sphere molecules. Phys. Fluids 22, 062004. (doi:10.1063/1.3435343)
3. Cercignani, C., Lampis, M. & Lorenzani, S. 2004 Plane Poiseuille flow with symmetric and nonsymmetric gas-wall interactions. Transp. Theory Stat. Phys. 33, 545-561. (doi:10.1081/TT-200053939) (Pubitemid 40856036)
4. Siewert, C. E. 2003 Viscous-slip, thermal-slip, and temperature-jump coefficients as defined by the linearized Boltzmann equation and the Cercignani-Lampis boundary condition. Phys. Fluids 15, 1696-1701. (doi:10.1063/1.1567284) (Pubitemid 36785217)
5. McCormick, N. J. 2005 Gas-surface accommodation coefficients from viscous slip and temperature jump coefficients. Phys. Fluids 17, 107104. (doi:10.1063/1.2111133)
6. Ansumali, S. & Karlin, I. V. 2002 Kinetic boundary conditions in the lattice Boltzmann method. Phys. Rev. E 66, 026311. (doi:10.1103/PhysRevE.66. 026311)
7. Ansumali, S., Karlin, I. V., Arcidiacono, S., Abbas, A. & Prasianakis, N. I. 2007 Hydrodynamics beyond Navier-Stokes: Exact solution to the lattice Boltzmann hierarchy. Phys. Rev. Lett. 98, 124502. (doi:10.1103/PhysRevLett.98.124502)
8. Guo, Z., Shi, B., Zhao, T. S. & Zheng, C. 2007 Discrete effects on boundary conditions for the lattice Boltzmann equation in simulating microscale gas flows. Phys. Rev. E 76, 056704. (doi:10.1103/PhysRevE.76.056704)