Hydrostatic equilibrium

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

Erratum: Anharmonicity and Universal Response of Linear Carbon Chain Mechanical Properties under Hydrostatic Pressure [Phys. Rev. Lett. 125, 105501 (2020)].

Abstract: This corrects the article DOI: 10.1103/PhysRevLett.125.105501.

An optimal design of the Hexafloat floating platform for offshore wind turbines

Abstract: The design of a floating offshore wind platform must face several challenges, such as minimising windand wave-induced motion and structural costs. In this paper, a genetic algorithm is used to optimise the main geometric parameters of the floating platform concept 5 MW, 10 MW, and 15 MW Hexafloat for the Pantelleria site. Hydrostatic and time-domain simulations verify the floating stability and dynamic performance in terms of dynamic pitch and nacelle acceleration. The optimal structural cost of the platform is reduced by 52% and 22% for the 5 MW and 10 MW wind turbines, respectively, compared to 15 MW, while the LCOE increases by 39% and 11%, respectively. The optimisation tool presented in this work is very effective and can be applied to any other floating platform due to the parameterisation of the mesh geometry.

Self‐contained two‐layer shallow‐water theory of strong internal bores

Abstract: We show that interfacial gravity waves comprising strong hydraulic jumps (bores) can be described by a two-layer hydrostatic shallow-water (SW) approximation without invoking additional front conditions. The theory is based on a new SW momentum equation which is derived in locally conservative form containing a free parameter $\alpha.$ This parameter, which defines the relative contribution of each layer to the pressure at the interface, affects only hydraulic jumps but not continuous waves. The Rankine-Hugoniot jump conditions for the momentum and mass conservation equations are found to be mathematically equivalent to the classical front conditions, which were previously thought to be outside the scope of SW approximation. Dimensional arguments suggest that $\alpha$ depends on the density ratio. For nearly equal densities, both layers are expected to affect interfacial pressure with approximately equal weight coefficients, which corresponds to $\alpha\approx0.$ The front propagation velocity for $\alpha=0$ agrees well with experimental and numerical results in a wide range of bore strengths. A remarkably better agreement with high-accuracy numerical results is achieved by $\alpha=\sqrt{5}-2,$ which yields the largest height that a stable gravity current can have.

Open Form Pressure Balancing for Compliant Hydrostatic Thrust Bearings

Abstract: Traditionally hydrostatic slider bearings have rigid surfaces, and therefore require a well-defined and rigid counter surface with a constant or zero curvature. However, when the counter surface has a curvature varying along the path of the hydrostatic bearing, that hydrostatic bearing needs to follow that curvature. For this bearing compliance is required. This work introduces a new principle to increase the performance of compliant hydrostatic bearings by means of open form pressure balancing. A numerical example is provided to show the potential by comparing axi-symmetric parallel bearing performance of different geometries. Using thin-film assumption, the model is solved using an elasto-hydrostatic approach. The film height, pressure profile and load capacity are presented. This work provides the initial findings for pressure balanced parallel bearings.