Hydrostatic equilibrium

About: Hydrostatic equilibrium is a research topic. Over the lifetime, 2451 publications have been published within this topic receiving 62172 citations.

Generalized thermoelastic interaction in a fiber-reinforced anisotropic half-space under hydrostatic initial stress

Abstract: The propagation of plane waves in fiber-reinforced, anisotropic thermoelastic half-space proposed by Lord-Shulman under hydrostatic initial stress is discussed. The problem has been solved numerically using a finite element method. Numerical results for the temperature distribution, the displacement components and the thermal stress are given and illustrated graphically. Comparisons are made with the results predicted by the theory of generalized thermoelasticity with one relaxation time for different values of pressure. It is found that the hydrostatic initial stress has a great effect on the distribution of field quantities.

On the Hydrostatic Theory of the Figure of the Earth

Abstract: Summary A table is provided of the external and dynamical ellipticities of the Earth for different values of the ratio I/Mb2, I being the mean moment of inertia and b the mean radius, on the first order Radau theory. A simplified model is used to find the corrections for the slight inaccuracy of the Radau approximation and the terms of the second order. The dynamical ellipticity and J2 as given by artificial satellites are used to estimate I/Mb2, and it is shown that on the hydrostatic theory 106J2 would be 1072.1 ± 0.4, in contradiction to the direct determination 1082.78 ± 0.05. The departures from the hydrostatic state indicated by J2 and J3 imply stress differences of 4 × 107 to 8 × 107 dyn/cm2 in the interior.

Thermal conduction in systems out of hydrostatic equilibrium

Abstract: We analyse the effects of thermal conduction in a relativistic fluid, just after its departure from hydrostatic equilibrium, on a time scale of the order of the thermal relaxation time. It is found that the resulting evolution will depend critically on a parameter defined in terms of thermodynamic variables, which is constrained by causality requirements.

Internal Tide Generation at the Continental Shelf Modeled Using a Modal Decomposition: Two-Dimensional Results

Abstract: Stratified flow over topography is studied, with oceanic applications in mind. A model is developed for a fluid with arbitrary vertical stratification and a free surface, flowing over three-dimensional topography of arbitrary size and steepness, with background rotation, in the linear hydrostatic regime. The model uses an expansion of the flow fields in terms of a set of basis functions, which efficiently capture the vertical dependence of the flow. The horizontal structure may then be found by solving a set of coupled partial differential equations in two horizontal directions and time, subject to simple boundary conditions. In some cases, these equations may be solved analytically, but, in general, simple numerical procedures are required. Using this formulation, the internal tide generated by a time-periodic barotropic tidal flow over a continental shelf and slope is calculated in various idealized configurations. The topography and fluid motion are taken to be independent of one coordinate di...