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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 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 .
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 right side of the equation is in effect a summation of hydrostatic effects, the divergence of deviatoric stress and body forces (such as gravity). All non-relativistic balance equations, such as the Navier–Stokes equations, can be derived by beginning with the Cauchy equations and specifying the stress tensor through a constitutive relation .
This force is applied in a direction opposite to gravitational force, that is of magnitude: B = ρ f V disp g , {\displaystyle B=\rho _{f}V_{\text{disp}}\,g,\,} where ρ f is the density of the fluid, V disp is the volume of the displaced body of liquid, and g is the gravitational acceleration at the location in question.
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 ]
Fluid kinematics is a term from fluid mechanics, [1] usually referring to a mere mathematical description or specification of a flow field, divorced from any account of the forces and conditions that might actually create such a flow.