Torque on a Rotating Ellipsoid in a Rarefied Gas
نویسنده
چکیده
A particle, shaped as an ellipsoid of revolution and rotating about an arbitrary axis, experiences a torque in a rarefied monatomic gas because of the impact with the gas atoms. This torque is calculated for the case where the linear dimensions of the ellipsoid are small compared with the mean free path of the gas. The interaction of the gas atoms with the ellipsoidal surface is taken into account by means of the boundary condition for the distribution function in terms of an accommodation coefficient (diffuse and specular reflection). The torque is considered for prolate and oblate ellipsoids. The formulae obtained are of interest in the theory of the Brownian motion of a rotating particle in a rarefied gas.
منابع مشابه
Development of a novel method in TRMC for a Binary Gas Flow Inside a Rotating Cylinder
A new approach to calculate the axially symmetric binary gas flow is proposed Dalton’s law for partial pressures contributed by each species of a binary gas mixture (argon and helium) is incorporated into numerical simulation of rarefied axially symmetric flow inside a rotating cylinder using the time relaxed Monte-Carlo (TRMC) scheme and the direct simulation Monte-Carlo (DSMC) method. The res...
متن کاملKinetic Theory of Hydrodynamic Flows, III. The Torque on a Rotating Sphere or Cylinder 1
In two earlier papers, (1'2) referred to here as I and II, respectively, we showed how to calculate the drag force on a macroscopic sphere or cylinder moving through a dilute gas by using an extended Boltzmann equation. This equation differs from the usual Boltzmann equation in that it treats the effect of collisions between.gas molecules and the macroscopic object as a term in the Boltzmann eq...
متن کاملNumerical simulation of moving rigid bodies in rarefied gases
In this paper we present a numerical scheme to simulate a moving rigid body with arbitrary shape suspended in a rarefied gas. The rarefied gas is simulated by solving the Boltzmann equation using a DSMC particle method. The motion of the rigid body is governed by the Newton-Euler equations, where the force and the torque on the rigid body is computed from the momentum transfer of the gas molecu...
متن کاملShock-wave Heating Model for Chondrule Formation: Hydrodynamics of Rotating Droplets Exposed to High-velocity Gas Flows
Introduction: The data of chondrule shapes is a strong clue for elucidating the chondrule formation mechanism. Recently, the three-dimensional data of chondrule shapes has been measured by the X-ray microtomography [1]. The external shapes were approximated as three-axial ellipsoids with a-, band nd c-axes (axial radii are A, B, and C (A≥B≥C), respectively). The plot of C/B vs. B/A shows that t...
متن کاملInverted velocity profile in the cylindrical Couette flow of a rarefied gas.
The cylindrical Couette flow of a rarefied gas is investigated, under the diffuse-specular reflection condition of Maxwell's type on the cylinders, in the case where the inner cylinder is rotating whereas the outer cylinder is at rest. The inverted velocity profile for small accommodation coefficients, pointed out by Tibbs, Baras, and Garcia [Phys. Rev. E 56, 2282 (1997)] on the basis of a Mont...
متن کامل