Poiseuille flow and thermal creep based on the Boltzmann equation with the Lennard-Jones potential over a wide range of the Knudsen number
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Publication:5304659
DOI10.1063/1.3156011zbMath1183.76469OpenAlexW2012267485MaRDI QIDQ5304659
F. M. Sharipov, Guilherme Bertoldo
Publication date: 18 March 2010
Published in: Physics of Fluids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.3156011
Boltzmann equationcreepPoiseuille flowkinetic theoryLennard-Jones potentialconfined flowKnudsen flow
Related Items (18)
Capturing the influence of intermolecular potential in rarefied gas flows by a kinetic model with velocity-dependent collision frequency ⋮ Reciprocity relations in flows of a rarefied gas between plane parallel walls with nonuniform surface properties ⋮ Numerical modeling of rarefied gas flow through a slit into vacuum based on the kinetic equation ⋮ Effect of weak gravitation on the plane Poiseuille flow of a highly rarefied gas ⋮ Assessment and development of the gas kinetic boundary condition for the Boltzmann equation ⋮ Kinetic modelling of rarefied gas flows with radiation ⋮ A fast iterative scheme for the linearized Boltzmann equation ⋮ Flows of rarefied gaseous mixtures with a low mole fraction. Separation phenomenon ⋮ Poiseuille flow and thermal transpiration of a rarefied gas between parallel plates. II: Effect of nonuniform surface properties in the longitudinal direction ⋮ Implicit high-order method for calculating rarefied gas flow in a planar microchannel ⋮ Numerical analysis of oscillatory Couette flow of a rarefied gas on the basis of the linearized Boltzmann equation for a hard sphere molecular gas ⋮ Numerical modelling of rarefied gas flow through a slit at arbitrary pressure ratio based on the kinetic equation ⋮ Mass flow rate measurement of thermal creep flow from transitional to slip flow regime ⋮ Plane Poiseuille flow and thermal transpiration of a highly rarefied gas between the two walls of Maxwell-type boundaries with different accommodation coefficients: effect of a weak external force ⋮ Computational methods for pore-scale simulation of rarefied gas flow ⋮ Uncertainty analysis of computed flow rates and pressure differences in rarefied pressure and temperature driven gas flows through long capillaries ⋮ New exact solutions for microscale gas flows ⋮ Rarefied gas flows through a curved channel: Application of a diffusion-type equation
Cites Work
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- An efficient computation of near-continuum rarefied gas flows
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- The linearized Boltzmann equation: Concise and accurate solutions to basic flow problems
- Application of the Cercignani-Lampis scattering kernel to calculations of rarefied gas flows. II: Slip and jump coefficients.
- Application of the Cercignani-Lampis scattering kernel to calculations of rarefied gas flows. I: Plane flow between two parallel plates
- Numerical analysis of the shear and thermal creep flows of a rarefied gas over a plane wall on the basis of the linearized Boltzmann equation for hard-sphere molecules
- Numerical analysis of the Poiseuille and thermal transpiration flows between two parallel plates on the basis of the Boltzmann equation for hard-sphere molecules
- A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
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