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The hydrostatic equilibrium pertains to hydrostatics and the principles of equilibrium of fluids. A hydrostatic balance is a particular balance for weighing substances in water. Hydrostatic balance allows the discovery of their specific gravities. This equilibrium is strictly applicable when an ideal fluid is in steady horizontal laminar flow ...
Fluid statics or hydrostatics is the branch of fluid mechanics that studies fluids at hydrostatic equilibrium [1] and "the pressure in a fluid or exerted by a fluid on an immersed body". [2] It encompasses the study of the conditions under which fluids are at rest in stable equilibrium as opposed to fluid dynamics, the study of
In the case of atmospheres, the pressure-gradient force is balanced by the gravitational force, maintaining hydrostatic equilibrium. In Earth's atmosphere , for example, air pressure decreases at altitudes above Earth's surface, thus providing a pressure-gradient force which counteracts the force of gravity on the atmosphere.
Hydrostatic equilibrium, the state of a system in which compression due to gravity is balanced by a pressure gradient force Hyperbolic equilibrium point , a mathematical concept in physics Mechanical equilibrium , the state in which the sum of the forces, and torque, on each particle of the system is zero
Clairaut's theorem characterizes the surface gravity on a viscous rotating ellipsoid in hydrostatic equilibrium under the action of its gravitational field and centrifugal force. It was published in 1743 by Alexis Claude Clairaut in a treatise [ 1 ] which synthesized physical and geodetic evidence that the Earth is an oblate rotational ellipsoid .
It assumes that the compression is adiabatic and that the Earth is spherically symmetric, homogeneous, and in hydrostatic equilibrium. It can also be applied to spherical shells with that property. It is an important part of models of the Earth's interior such as the Preliminary reference Earth model (PREM). [3] [4]
The presence of colloid particles (typically with size in the range between 1 nanometer and 1 micron), uniformly dispersed in a binary liquid mixtures, is able to drive a convective hydrodynamic instability even though the system is initially in a condition of stable gravitational equilibrium (hence opposite to the Rayleigh-Taylor instability ...
Using the ideal gas law and the hydrostatic equilibrium equation, gives ¯, which has the solution = (()), where is the gas mass density at the midplane of the disk at a distance r from the center of the star, and is the disk scale height with = ¯ (/ ) (/ ) (/) (¯ / ) , with the solar mass, the astronomical unit, and the atomic mass unit.