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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, it was shown that if a portion of the surface of a body subjected to uniform pressure is let free, and if that same amount of pressure is applied to the rest of the body which was originally free, the resultant stress field is the same in both cases but for a sign and a hydrostatic component.
Abstract: If a portion of the surface of a body subjected to uniform pressure is let free, and if that same amount of pressure is applied to the rest of the surface which was originally free, the resultant stress field is the same in both cases but for a sign and a hydrostatic component. Applications may be important especially in experimental work.
2 citations
TL;DR: In this paper, a method for the computation of hydrostatic forces on cable, truss, beam, plate and shell type structures is presented, where a general large displacement formulation is assumed which allows for displacements and rotations of unlimited size.
Abstract: A method for the computation of hydrostatic forces on cable, truss, beam, plate and shell type structures is presented. A general large displacement formulation is assumed which allows for displacements and rotations of unlimited size. Equilibrating forces for nodal points as well as incremental force-displacement relationships are given. Various ways of making the geometric load matrix symmetric for incremental analysis is discussed. Alternative strategies for the incremental–iterative solution is also treated. A method for the determination of the hydrostatic stability of floating structures is suggested. Metacentres and centres of buoyancy for rotations about principal axes in the water plane are automatically computed. The paper presents three examples of applications: a pipe which is partially submerged, a full overturning of a floating space frame and, finally, a hydrostatic stability analysis of a ship.
2 citations
TL;DR: In this paper, an auxiliary variable becomes constant at isothermal hydrostatic equilibrium state and proposes a well-balanced gas kinetic scheme for the Navier-Stokes equations with a global reconstruction.
Abstract: The hydrostatic equilibrium state is the consequence of the exact hydrostatic balance between hydrostatic pressure and external force. Standard finite volume or finite difference schemes cannot keep this balance exactly due to their unbalanced truncation errors. In this study, we introduce an auxiliary variable which becomes constant at isothermal hydrostatic equilibrium state and propose a well-balanced gas kinetic scheme for the Navier-Stokes equations with a global reconstruction. Through reformulating the convection term and the force term via the auxiliary variable, zero numerical flux and zero numerical source term are enforced at the hydrostatic equilibrium state instead of the balance between hydrostatic pressure and external force. Several problems are tested numerically to demonstrate the accuracy and the stability of the new scheme, and the results confirm that, the new scheme can preserve the exact hydrostatic solution. The small perturbation riding on hydrostatic equilibria can be calculated accurately. The viscous effect is also illustrated through the propagation of small perturbation and the Rayleigh-Taylor instability. More importantly, the new scheme is capable of simulating the process of converging towards hydrostatic equilibrium state from a highly non-balanced initial condition. The ultimate state of zero velocity and constant temperature is achieved up to machine accuracy. As demonstrated by the numerical experiments, the current scheme is very suitable for small amplitude perturbation and long time running under gravitational potential.
2 citations
TL;DR: In this paper , a position pressure feedback control (PPFC) method is proposed to improve the system response and position accuracy, which can shorten the time delay by 70.08% in the direction of positive load movement when compared with traditional position feedback control methods.
2 citations
TL;DR: In this article, the stability of stellar structure with main focus on the hydrostatic and thermal equilibrium has been studied in the evolution of stellar structures, which are taken as variable in differential equation which are evolved in due process of star evolution.
Abstract: Astrophysical and Mathematical Models usually describes the evolutionary processes of life cycle of stellar structure. The process of star formation undergoes various stages during its life cycle. In human time scale it is not possible to observe whole of the evolution of stellar structure. From the birth of star to the death of star, different complex cosmological phenomenon occurs in the galactic region. In general theory of astrophysics stars are assumed to be static and spherical in nature. This nature results from hydrostatic and thermostatic equilibrium. Self-gravitating forces makes the star to collapse gradually and intermittently. At the same time thermal nature of chemical composition inside the star develops the pressure and hinders the sudden collapse. As a result, there is change in physical quantities like temperature, density, mass, radius, luminosity opacity and many more structural behaviours of star. These quantities are taken as variable in differential equation which are evolved in due process of star evolution. During the evolution of star, hydrostatic equilibrium and thermal equilibrium remains the major areas of study, therefore emphasis is laid on the stability of stellar structure with main focus on the hydrostatic and thermal equilibrium.
2 citations