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Hydrostatic equilibrium
About: Hydrostatic equilibrium is a research topic. Over the lifetime, 2451 publications have been published within this topic receiving 62172 citations.
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TL;DR: In this paper, the electronic and lattice properties of MgB 2 under uniaxial and hydrostatic compression were calculated under the first-principles molecular dynamics.
Abstract: Electronic and lattice properties of MgB 2 under uniaxial and hydrostatic compression are calculated. Lattice properties are optimized automatically by using the first-principles molecular dynamics...
16 citations
Patent•
02 Mar 1999TL;DR: In this paper, an infinitely variable valve is provided between the hydrostatic pump and the motor with dual outlets which cause fluid to flow either to the motor or to a reservoir to be recycled through the pump.
Abstract: A hydrostatic marine propulsion system is provided with a valve that is able to bypass an infinitely variable amount of hydraulic fluid from a hydrostatic pump to bypass a hydrostatic motor which is used to drive a propeller shaft. The infinitely variable valve is connected between the hydrostatic pump and the hydrostatic motor with dual outlets which cause fluid to flow either to the hydrostatic motor or to a reservoir to be recycled through the hydrostatic pump. An engine control unit changes the amount of hydraulic fluid passing through the hydrostatic motor as a function of the operating condition of an engine which drives the hydrostatic pump. In this way, engine speed can be controlled during various modes of operation.
16 citations
Posted Content•
TL;DR: A well-balanced, second order, Godunov-type finite volume scheme for compressible Euler equations with gravity, which admits a discrete stationary solution which is a second order accurate approximation to the exact stationary solution.
Abstract: We present a well-balanced, second order, Godunov-type finite volume scheme for compressible Euler equations with gravity. By construction, the scheme admits a discrete stationary solution which is a second order accurate approximation to the exact stationary solution. Such a scheme is useful for problems involving complex equations of state and/or hydrostatic solutions which are not known in closed form expression. No a priori knowledge of the hydrostatic solution is required to achieve the well-balanced property. The performance of the scheme is demonstrated on several test cases in terms of preservation of hydrostatic solution and computation of small perturbations around a hydrostatic solution.
16 citations
TL;DR: In this article, an equivalent formulation of the incompressible 3D stationary Navier-Stokes equations with Coriolis force and an additional pressure term that comes from taking into account the pressure in the state equation for the density is considered.
Abstract: The hydrostatic approximation of the incompressible 3D stationary Navier-Stokes equations is widely used in oceanography and other applied sciences. It appears through a limit process due to the anisotropy of the domain in use, an ocean, and it is usually studied as such. We consider in this paper an equivalent formulation to this hydrostatic approximation that includes Coriolis force and an additional pressure term that comes from taking into account the pressure in the state equation for the density. It therefore models a slight dependence of the density upon compression terms. We study this model as an independent mathematical object and prove an existence theorem by means of a mixed variational formulation. The proof uses a family of finite element spaces to discretize the problem coupled with a limit process that yields the solution. We finish this paper with an existence and uniqueness result for the evolutionary linear problem associated to this model. This problem includes the same additional pressure term and Coriolis force.
15 citations
TL;DR: In this paper, a spherical analogue of the rotating annulus experiments modeling atmospheric motion, in which a liquid is contained between two rigid, corotating and concentric hemispheres upon both of which thermal gradients are imposed, is presently studied by means of numerical models.
Abstract: A spherical analogue of the rotating annulus experiments modeling atmospheric motion, in which a liquid is contained between two rigid, corotating and concentric hemispheres upon both of which thermal gradients are imposed, is presently studied by means of numerical models. Temperatures are lower on the inner than on the outer sphere, and decrease towards the pole. Using Navier-Stokes equations which assume symmetry about the polar axis, finite difference numerical models yield steady-state solutions to the equations. Hydrostatic and nonhydrostatic solutions are compared for cylindrical and spherical cases, and it is found in the case of the spherical shell that the differences between hydrostatic and nonhydrostatic solutions are small and largely confined to the regions near the pole and equator. It is suggested that nonhydrostatic effects on the axisymmetric state will not affect the flow's baroclinic stability.
15 citations