Topic
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, two variational strategies to calculate the internal flattening induced in the structure of slowly rotating hydrostatic planets are discussed, and the differences between them and other previous variational approaches are discussed.
Abstract: SUMMARY
Two variational strategies to calculate the internal flattening induced in the structure of slowly rotating hydrostatic planets are discussed. In the first procedure, the minimization of energy fixes the physical coefficients of a polynomial that describes the dependence of the flattening on depth. In the second, the planet is assumed to be divided into thin equidensity shells, and the condition of minimum energy leads to an algebraic method that can compete with the usual one based on Clairaut's equation. These methods are applied to the Earth. The differences between them and other previous variational strategies are discussed.
6 citations
TL;DR: In this paper, a quantitative approach based on the concept of the hydrostatic energy is presented for a general shape of the cross-section of a floating body and for an arbitrary angle of heel.
Abstract: Even though the buoyancy force (also known as the Archimedes force) has always been an important topic of academic studies in physics, its point of application has not been explicitly identified yet. We present a quantitative approach to this problem based on the concept of the hydrostatic energy, considered here for a general shape of the cross-section of a floating body and for an arbitrary angle of heel. We show that the location of the point of application of the buoyancy force essentially depends (i) on the type of motion experienced by the floating body and (ii) on the definition of this point. In a rolling/pitching motion, considerations involving the rotational moment lead to a particular dynamical point of application of the buoyancy force, and for some simple shapes of the floating body this point coincides with the well-known metacentre. On the other hand, from the work–energy relation it follows that in the rolling/pitching motion the energetical point of application of this force is rigidly connected to the centre of buoyancy; in contrast, in a vertical translation this point is rigidly connected to the centre of gravity of the body. Finally, we consider the location of the characteristic points of the floating bodies for some particular shapes of immersed cross-sections. The paper is intended for higher education level physics teachers and students.
6 citations
11 Jun 2019
TL;DR: In this article, the problem of a three-dimensional fluid flow through a threeshaft seal of a high pressure centrifugal pump at different values of radial shaft displacements has been solved.
Abstract: Using the finite volume method, the problem of a three-dimensional fluid flow through a three-shaft seal of a high pressure centrifugal pump at different values of radial shaft displacements has been solved. Numerical calculations were carried out without taking into account deformation of seals under the influence of uneven pressure distribution. Pressure distributions, leakage values and hydrodynamic radial forces were obtained depending on the magnitude of the eccentricity. As a result of numerical calculations, the dependences of the radial forces on the radial shaft displacement were constructed and the hydrostatic stiffness coefficient was determined. These dependencies were also obtained using analytical equations. The obtained numerical results differ from the theoretical ones less than 5%. It should also be noted that the application of the three-gap seal significantly reduces leakage compared to homogeneous and double-layer seals, as well as increases the radial force stiffness, which in its turn provides a low level of rotor vibration.
6 citations
TL;DR: In this article , an advanced Bayesian parameter estimation method for concrete dams is proposed, which can also avoid the issues of multiple solutions and unreasonable parameter combinations, which may exist in traditional deterministic inversion methods.
6 citations
TL;DR: In this article, the critical mass of neutron stars is obtained by integrating the general relativistic equations for hydrostatic equilibrium using the equation of state, which is valid for low and moderate densities.
Abstract: The equation of state of the neutron gas is calculated by a variational method, using the HamadaJohnson potential for the two-nucleon interaction. The energy-density relation determined in this way is valid for low and moderate densities. This result is extrapolated to higher densities and is joined smoothly to the relativistic energy-density relation for free particles. The critical mass of neutron stars is obtained by integrating the general relativistic equations for hydrostatic equilibrium using the equation of state. The critical mass is found to be less than 0.7 of the mass of the Sun.
6 citations