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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 ...
This pressure forces plasma and nutrients out of the capillaries and into surrounding tissues. Fluid and the cellular wastes in the tissues enter the capillaries at the venule end, where the hydrostatic pressure is less than the osmotic pressure in the vessel. [7]
The term g I 1 describes the hydrostatic force in a certain cross section. And, for a non-prismatic channel, g I 2 gives the effects of geometry variations along the channel axis x . In applications, depending on the problem at hand, there often is a preference for using either the momentum equation in non-conservation form, ( 2 ) or ( 3 ), or ...
The total force vector acting at the center of pressure is the surface integral of the pressure vector field across the surface of the body. The resultant force and center of pressure location produce an equivalent force and moment on the body as the original pressure field. Pressure fields occur in both static and dynamic fluid mechanics ...
The essential problem is modeled by nonlinear partial differential equations and the stability of known steady and unsteady solutions are examined. [1] The governing equations for almost all hydrodynamic stability problems are the Navier–Stokes equation and the continuity equation .
In continuum mechanics, hydrostatic stress, also known as isotropic stress or volumetric stress, [1] is a component of stress which contains uniaxial stresses, but not shear stresses. [2] A specialized case of hydrostatic stress contains isotropic compressive stress, which changes only in volume, but not in shape. [ 1 ]
The primitive equations may be linearized to yield Laplace's tidal equations, an eigenvalue problem from which the analytical solution to the latitudinal structure of the flow may be determined. In general, nearly all forms of the primitive equations relate the five variables u , v , ω, T , W , and their evolution over space and time.
In the classical central-force problem of classical mechanics, some potential energy functions () produce motions or orbits that can be expressed in terms of well-known functions, such as the trigonometric functions and elliptic functions. This article describes these functions and the corresponding solutions for the orbits.