Topic
Hydrostatic equilibrium
About: Hydrostatic equilibrium is a research topic. Over the lifetime, 2451 publications have been published within this topic receiving 62172 citations.
Papers published on a yearly basis
Papers
More filters
TL;DR: In this article, the derivation of homogeneous hydrostatic equations starting from 2D Euler equations was studied, and a convergence result for convex profiles and a divergence result for a particular inflexion profile were given.
Abstract: In this paper we study the derivation of homogeneous hydrostatic equations starting from 2D Euler equations, following for instance [2,9]. We give a convergence result for convex profiles and a divergence result for a particular inflexion profile.
75 citations
TL;DR: In this paper, an analytical fluid equilibrium that represents Hawley's numerical planets is presented, which has an ellipsoidal figure and is held together by the Corio lis force associated with the retrograde fluid motion.
Abstract: Hawley has shown through two-dimensional computer simulations that a slender torus in which a linear Papaloizou-Pringle (PP) instability with azimuthal wavenumber m, is excited evolves non-linearly to a configuration with m nearly disconnected 'planets'. We present an analytical fluid equilibrium that we believe represents his numerical planets. The fluid has an ellipsoidal figure and is held together by the Corio lis force associated with the retrograde fluid motion. There is a bifurcation between the torus and planet configurations at precisely the vorticity below which the PP instability switches on. Although the solution is three-dimensional, there is perfect hydrostatic equilibrium and the motion is
entirely two-dimensional. We analyse the linear modes of the analytical planet and find that there are numerous instabilities, though they are not as violent as the
PP instability in the torus. We also discuss the energy and vorticity of neutral modes, and we argue that when the torus breaks up into planets, neutral modes with negative energy and non-zero vorticity are excited in order to conserve total energy and specific vorticity. We speculate that the fluid in Hawley's simulations may be approaching two-dimensional turbulence.
75 citations
TL;DR: Ojakangas et al. as mentioned in this paper developed equations describing the variations in the inertia tensor of a body when second harmonic degree topography is added to the base of the crust.
75 citations
TL;DR: In this paper, the effect of hydrostatic pressure on chip formation was studied using the experiments and the difference in cutting forces between cutting a groove into the specimen and cutting a slab was investigated at atmospheric pressure.
75 citations
TL;DR: In this article, the authors derived model atmosphere equations which correspond to plane-parallel nongray atmospheres of very hot neutron stars in hydrostatic and radiative equilibrium, and the nonlinear transfer equation used implements an exact photon redistribution function which precisely traces even those scattering events having large photon-electron energy exchange.
Abstract: Model atmosphere equations are derived which correspond to plane-parallel nongray atmospheres of very hot neutron stars in hydrostatic and radiative equilibrium. The nonlinear transfer equation used implements an exact photon redistribution function which precisely traces even those scattering events having large photon-electron energy exchange. The numerical results thus obtained encompass tables of the surface fluxes for 20 model atmospheres whose T(eff) ranges from 6 to 30 million K. The spectra of high gravity models are virtually identical with the blackbody spectrum shifted toward higher energies, while models approaching the Eddington limit develop a large low-energy hump.
75 citations