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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 article, the authors examined the validity of the hydrostatic approximation for use in predicting the dynamics of topographically generated atmospheric gravity waves (lee waves) propagating in an atmosphere with realistic wind shear.
Abstract: The validity of the hydrostatic approximation is examined for use in predicting the dynamics of topographically generated atmospheric gravity waves (lee waves) propagating in an atmosphere with realistic wind shear. To isolate nonhydrostatic effects, linear, analytic solutions derived both with and without the hydrostatic assumption are compared. The atmospheric profiles of wind and stability are chosen both to render the governing equations analytically tractable and be representative of typical atmospheric conditions. Two atmospheric models are considered: 1) a troposphere-only model in which the wind increases linearly with height and the stability is constant and 2) a troposphere-stratosphere model, which retains the important effect of the vertical wind shear in the troposphere and adds the essential feature of a stability jump at the tropopause. The nonhydrostatic trapping effect of wind shear on gravity wave modes is clearly illustrated in the troposphere-only atmospheric model. In the tro...

61 citations

Journal ArticleDOI
Hongbo Du1, Feng Dai1, Yuan Xu1, Yi Liu1, Hui-ning Xu1 
TL;DR: In this article, the authors investigated the mechanical behavior of granitic specimens under different hydrostatic confinements in split Hopkinson pressure bar (SHPB) testing, regarding seven hydrostatic confinement varying from 0 to 225MPa and six strain rates varying from 500 to 1500s −1.

61 citations

Journal ArticleDOI
TL;DR: In this article, the electronic and optical properties of the InP compound in the zinc-blende structure at ambient and under hydrostatic pressure are reported based on the empirical pseudo-potential method.
Abstract: Based on the empirical pseudo-potential method, the electronic and optical properties of the InP compound in the zinc-blende structure at ambient and under hydrostatic pressure are reported. The first-order pressure coefficients of the main band gaps (at Γ, X, and L) are given. The agreement between our calculated hydrostatic deformation potential and the available experimental data is better than 5%, whereas for the crossover pressure from direct to indirect band gap is about 10% less. The valence bandwidth increases with increasing pressure reflecting the decreased ionicity in the material of interest. Besides the electronic properties, the effect of pressure on the dielectric function is also analysed.

61 citations

Journal ArticleDOI
Baljeet Singh1
TL;DR: Reflection from insulated and isothermal stress-free surface of a thermoelastic solid half-space under hydrostatic initial stress is studied and the reflection coefficients as well as energy ratios of reflected waves are obtained.

61 citations

Journal ArticleDOI
TL;DR: In this article, the authors performed 2D axisymmetric calculations by solving the set of fully nonlinear hydrodynamic equations, including radiation transport, to address the problem of vertical structure and stability of thin accretion disks.
Abstract: It has been suggested that thin Keplerian disks, like rotating stars, cannot attain hydrostatic and thermal equilibrium simultaneously if the angular velocity is a function of radius only. To address the problem of vertical structure and stability of thin accretion disks, we performed 2D axisymmetric calculations by solving the set of fully nonlinear hydrodynamic equations, including radiation transport. The results indicate that the variation of the rotational velocity with height is too small to sustain hydrostatic equilibrium. Instead, the variation of the radial (inflow) velocity with height suffices to establish a stationary state. In particular, we find that for low values of the viscosity parameter alpha, there is mass outflow in the central parts of the disk close to the equatorial plane, and inflow only near the surface. Only for modestly high values of alpha, the flow throughout the disk is directed inward. Thus, the flow within the disk is the result of viscous radial inflow plus a circulatory flow directed outward in the midplane and inward near the surface.

60 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2023282
2022708
202167
202089
201998
201893