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 authors derived a general weight-pressure and mass-pressure relationship for curved geometries and showed that the relationship does not necessarily hold for all curved geometry, since the mass of a fluid does not equal the weight per unit area of the fluid above it.
Abstract: In curved geometries the hydrostatic pressure in a fluid does not equal the weight per unit area of the fluid above it. General weight–pressure and mass–pressure relationships for hydrostatic fluids in any geometry are derived. As an example of the mass–pressure relationship, we find a geometric reduction in surface pressure as large as 5 mbar on Earth and 39 mbar on Titan. We also present a thermodynamic interpretation of the geometric correction which, as a corollary, provides an independent proof of the hydrostatic relationship for general geometries.
10 citations
TL;DR: In this paper, the effects of inner stress and geometric deformation caused by hydrostatic load on the vibration of a bottom plate-fluid coupled system are studied in detail, and the results show that with the fluid height increasing, the natural frequencies of the plate decrease sharply at the very beginning, then increase constantly except that the fundamental frequency continues to decrease slowly.
Abstract: The effects of inner stress and geometric deformation caused by hydrostatic load on the vibration of a bottom plate-fluid coupled system are studied in detail. The Von Karman nonlinear strain displacement relationship and the Hamilton's principle are utilized to formulate the two sets of governing equations: nonlinear static equations under hydrostatic load and linear vibration equations of the plate-fluid coupled system considering the hydrostatic load effect at the nonlinear static position. A two-step theoretical approach is developed based on the equations. Experimental and numerical researches are carried out to validate the theoretical approach, and the natural frequencies derived by the three approaches coincide well. The results show that with the fluid height increasing, the natural frequencies of the plate decrease sharply at the very beginning, then increase constantly except that the fundamental frequency continues to decrease slowly. That means the added mass effect is the dominating effect when the fluid height is low, and the stiffening effect of the hydrostatic load plays a more important role with the fluid getting higher. The stress and deformation effects are considered respectively and compared in detail. Models with different fluid-plate size ratios are studied. Moreover, the hydrostatic load effect on the hydroelastic vibration responses of the plate is also analyzed.
10 citations
TL;DR: In this article, the authors explore hydrodynamics and hydrostatic properties of a star in the post-Newtonian approximation of massive Brans-Dicke gravity.
Abstract: This paper explores hydrodynamics and hydrostatic of a star in the post-Newtonian approximation of massive Brans-Dicke gravity. We study approximated solutions of the field equations up to $ O(c^{-4})$
and generalize Euler equations of motion. We then formulate equations governing the stability and instability of the system. Finally, we discuss spherically symmetric stars for a specific barotropic case like dust, cosmic string and domain wall in this scenario.
10 citations
01 Jun 2017
TL;DR: In this paper, the influence of non-uniform density of a liquid on the liquid level in a 4-point hydrostatic level of different topologies is numerically estimated using the model and an estimation of transient processes in the level caused by an air pressure surge over one of the measuring vessels is carried out.
Abstract: Among various methods that allow controlling quasi-static vertical displacements of structures, the hydrostatic leveling method remains relevant. A multi-point hydrostatic leveling systems allows controlling the vertical displacement field with the required spatial resolution. It is assumed that the liquid level in the each measuring vessel has the same absolute elevation. However, it is influenced by various external factors, which are difficult to eliminate when implementing the method in real constructions. Consequently, it is necessary to assess the influence of these factors and develop methods aimed at their reduction or compensation. A mathematical model, describing the viscous incompressible fluid motion located in a multipoint level with absolutely rigid walls, is presented in the paper. The experiments performed with two point levels of different lengths, as well as analytical estimates of other authors, made it possible to estimate the degree of confidence of the model and the boundaries of applicability. The influence of non-uniform density of a liquid on the liquid level in a 4-point hydrostatic level of different topologies is numerically estimated using the model. An estimation of transient processes in the level, caused by an air pressure surge over one of the measuring vessels is carried out.
10 citations
TL;DR: In this paper, a 1D non-hydrostatic flow and sediment transport model developed by using the method of the weighted residuals into the RANS equations is presented, where the fluid density variation due to suspension of sediments and the bed deformation due to erosion-sedimentation processes are accounted for.
10 citations