New exact solutions for microscale gas flows
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Publication:2061043
DOI10.1007/s10665-021-10135-1zbMath1500.35247OpenAlexW3160191196MaRDI QIDQ2061043
Publication date: 13 December 2021
Published in: Journal of Engineering Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10665-021-10135-1
PDEs in connection with fluid mechanics (35Q35) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Gas dynamics (general theory) (76N15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Boltzmann equations (35Q20) Diffusive and convective heat and mass transfer, heat flow (80A19)
Cites Work
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- Fundamental singularities of viscous flow. I: The image systems in the vicinity of a stationary no-slip boundary
- Molecular gas dynamics. Theory, techniques, and applications.
- Macroscopic transport equations for rarefied gas flows. Approximation methods in kinetic theory.
- A computational strategy for the regularized 13 moment equations with enhanced wall-boundary conditions
- Unsteady Stokes' flow in two dimensions
- MFS with time-dependent fundamental solutions for unsteady Stokes equations
- Slow rarefied flows. Theory and application to micro-electro-mechanical systems.
- A robust numerical method for the R13 equations of rarefied gas dynamics: application to lid driven cavity
- Regularization of Grad’s 13 moment equations: Derivation and linear analysis
- Brownian motion near a partial-slip boundary: A local probe of the no-slip condition
- Boundary Integral and Singularity Methods for Linearized Viscous Flow
- The Approximate Solution of Elliptic Boundary-Value Problems by Fundamental Solutions
- Thermophoresis of a spherical particle: modelling through moment-based, macroscopic transport equations
- Solving the Boltzmann equation deterministically by the fast spectral method: application to gas microflows
- Drag force on spherical particle moving near a plane wall in highly rarefied gas
- Fundamental solutions to the regularised 13-moment equations: efficient computation of three-dimensional kinetic effects
- Poiseuille flow and thermal creep based on the Boltzmann equation with the Lennard-Jones potential over a wide range of the Knudsen number
- Fundamental solutions to moment equations for the simulation of microscale gas flows
- Numerical Simulation of Rarefied Gas Flows with Specified Heat Flux Boundary Conditions
- The method of functional equations for the approximate solution of certain boundary value problems
- The stress system in a suspension of force-free particles
- On the kinetic theory of rarefied gases
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