Journal ArticleDOI
A kinetic analysis of thermal force on a spherical particle of high thermal conductivity in a monatomic gas
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TLDR
In this paper, a linearized version of the hierarchy kinetic model equation was solved by applying a singular perturbation method and the half-range Hermite polynomials.Abstract:
A linearized version of the hierarchy kinetic model equation was solved by applying a singular perturbation method and the half‐range Hermite polynomials. The solution retains correct results up to O(Kn2) and suggests that, if the thermal conductivity of the spherical particle is infinite and the impinging molecules suffer complete energy accomodation at the surface, the thermal force of O(Kn2) disappears (or thermal force is very small) in the near continuum regime. The present results also indicate that the thermal force is sensitive to the variation in the energy accomodation coefficient for the accommodation coefficient of tangential momentum nearly equal to unity. With the effect of such accommodation coefficients, the present results are used to explain the existing experimental results from the viewpoint of kinetic theory as long as the Knudsen number is small.read more
Citations
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Journal ArticleDOI
Thermophoresis of a spherical particle in a rarefied gas: Numerical analysis based on the model kinetic equations
S. A. Beresnev,Vladimir Chernyak +1 more
TL;DR: In this article, a kinetic theory for the thermophoretic force and velocity of a spherical particle in a rarefied gas is presented, which is carried out on the basis of the linearized Bhatnagar-Gross-Krook (BGK) and S model.
Journal ArticleDOI
Analytical Solution of Boundary-Value Problems for the Ellipsoidal Statistical Equation
A. V. Latyshev,A. A. Yushkanov +1 more
TL;DR: In this paper, an analytical method for solving semispatial boundary value problems for the ellipsoidal statistical equation with a frequency proportional to the molecular velocity is described, and the classical Smoluchowski problem of a temperature jump in a rarefied gas and weak vaporization (condensation) is solved.
Journal ArticleDOI
Analytic solution of boundary value problems for the shakhov equation with the collision frequency proportional to the molecule velocity
A. V. Latyshev,A. A. Yushkanov +1 more
TL;DR: In this article, the weak evaporation and temperature jump problems are solved analytically for the Shakhov kinetic equation with a collision frequency proportional to the molecular velocity, and the expressions obtained are calculated numerically for kinetic coefficients.
Journal ArticleDOI
On the Convergence of the Solution to the Gross-Jackson's Kinetic Model Equation
TL;DR: In this article, it was found that the solution to the model equation converged rather rapidly as long as the scaling factor β was of 0(1) and the collision term included sufficient eigenvalues to the Boltzmann collision operator.
Journal ArticleDOI
Analytical solution of the problem on thermal slip of second order for molecular gases
TL;DR: The dependence of the velocity of thermal slip of second order of a molecular gas on the Prandtl number has been shown in this paper, which theoretically confirms the existence of negative thermophoresis for molecular gases.
References
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Journal ArticleDOI
A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
TL;DR: In this paper, a kinetic theory approach to collision processes in ionized and neutral gases is presented, which is adequate for the unified treatment of the dynamic properties of gases over a continuous range of pressures from the Knudsen limit to the high pressure limit where the aerodynamic equations are valid.
Small amplitude processes in charged and neutral one-component systems
TL;DR: In this article, a kinetic theory approach to collision processes in ionized and neutral gases is presented, which is adequate for the unified treatment of the dynamic properties of gases over a continuous range of pressures from the Knudsen limit to the high pressure limit where the aerodynamic equations are valid.
Book
Rarefied Gas Dynamics
TL;DR: In this paper, the authors present a simulation of a free jet expansion of a high-energy scattering of molecular beams in the presence of high-temperature Viscosity cross sections.
Journal ArticleDOI
Thermophoresis of particles in a heated boundary layer
TL;DR: In this paper, a laser-Doppler velocimeter (LDV) study of velocity profiles in the laminar boundary layer adjacent to a heated flat plate revealed that the seed particles used for the LDV measurements were driven away from the plate surface by thermophoretic forces, causing a particle free region within the boundary layer of approximately one half the boundary-layer thickness.
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