hydrostatics


Also found in: Dictionary, Thesaurus, Medical, Wikipedia.

hydrostatics:

see mechanicsmechanics,
branch of physics concerned with motion and the forces that tend to cause it; it includes study of the mechanical properties of matter, such as density, elasticity, and viscosity.
..... Click the link for more information.
.

Hydrostatics

The study of liquids at rest. In the absence of motion, there are no shear stresses; the internal state of stress at any point is determined by pressure alone. Hence, the pressure at a point is the same in all directions. Pressure acts normally to all boundary surfaces. For equilibrium under gravity, regardless of the shape of the containing vessel, the pressure is uniform over any horizontal cross section. Pressure varies with height or depth. Two different reference levels are used in measuring pressure. For many engineering purposes, gage pressure is used with pressure measured relative to atmospheric pressure as zero. For most scientific purposes, pressure is referred to true zero. Normal atmospheric pressure at sea level caused by the weight of the air above is approximately 101 kilopascals or 14.7 pounds per square inch absolute.

The buoyant force is the force exerted vertically upward by a fluid on a body wholly or partly immersed in it. Its magnitude is equal to the weight of the fluid displaced by the body. This value is also the vertical component of the fluid pressure force acting upward against the bottom of the body minus the fluid pressure force component (if any) acting vertically downward against the top of the body. If this buoyant force equals the weight of the body, the body will remain at the given level. If it exceeds the weight of the body, the latter will rise, and vice versa. The buoyant force as a single magnitude acts vertically upward through the center of buoyancy which is the center of gravity of the displaced fluid. See Archimedes' principle

Pressure applied to a confined liquid is transmitted with equal intensity throughout the liquid and by it to all surfaces of the confining vessel or piping. Hence, a small force applied to a small area of a confined liquid can create a large force against a large area. If the small and large areas are pistons, the device may be a hydraulic press or jack. Because the transmitting liquid is practically incompressible and its volume virtually constant, the linear movement of the large piston will be to that of the small piston in inverse proportion to their areas. The principle of multiplying a force by means of liquid pressure applies also to hydraulic brakes, power steering, control systems, and the like; the actuating force may be a pump instead of a small piston.

Hydrostatics

 

a branch of fluid mechanics that studies the equilibrium of a fluid and the effect of a fluid that is at rest on a body immersed in it. One of the principal tasks of hydrostatics is the study of the distribution of pressure in a fluid. When this is known, it is possible to calculate, on the basis of the laws of hydrostatics, the forces exerted by a fluid at rest on a body immersed in it, as for example, a submarine, on the walls and bottom of a container, on the wall of a dam, and so on. In particular, the conditions for the flotation of bodies on the surface of or within a fluid can be deduced, and the conditions under which floating bodies will have stability can be ascertained, a very important consideration in shipbuilding. The laws of hydrostatics, especially Pascal’s law, serve as the basis for the operation of the hydraulic press, the hydraulic accumulator, the fluid manometer, the siphon, and many other machines and instruments.

If a heavy fluid at rest has a free surface where the external pressure is equal to po at all points, then the pressure of the fluid at a depth h is equal to

p = po + ρgh

that is, the pressure at a depth h is equal to the external pressure added to the weight of a column of the fluid having a height h and a base area equal to 1 (ρ is the density of the fluid and g is the acceleration of gravity). The properties of pressure expressed by this formula are used in such hydrostatic machines as the hydraulic press and the hydraulic accumulator.

One of the basic laws of hydrostatics is Archimedes’ principle, which determines the magnitude of buoyant force acting on a body immersed in a fluid or gas. A case frequently encountered is that in which the fluid is moving together with the container so that the fluid is at rest with respect to the container. From the laws of hydrostatics it is possible to determine the shape of the fluid’s surface in such a container, for instance, when it is rotating. Since the fluid’s surface must always be in such a state that the sum of all the forces acting on the particles of the fluid, other than the pressure forces, are normal to the surface, the surface of a fluid in a cylindrical container that is rotating uniformly around its vertical axis assumes the shape of a paraboloid of revolution. The same thing happens in the oceans—the surface of the water is not an exact sphere but is somewhat flattened toward the poles. The flattening of the earth itself toward the poles is to some degree due to this fact. Thus, the laws of hydrostatics, which make it possible to determine the shape of the surface of a uniformly rotating fluid, are important in cosmogony.

REFERENCES

Elementarnyi uchebnikfiziki, 6th ed., vol. 1. Edited by G. S. Lands-berg. Moscow, 1968.
Khaikin, S. E. Fizicheskie osnovy mekhaniki. Moscow, 1962. Chapter 15.

hydrostatics

[‚hī·drə′stad·iks]
(fluid mechanics)
The study of liquids at rest and the forces exerted on them or by them.

hydrostatics

the branch of science concerned with the mechanical properties and behaviour of fluids that are not in motion
References in periodicals archive ?
w] (= [Psi] + [Omega]) permits unambiguous field measurement in relation to hydrostatics and flow, [p.
According to Dipl Ing Jochen Schonfeld, president, Hyprostatik Schonfeld, stiffness in guideways is four to five times higher than the stiffness of hydrostatic systems equipped with capillary control systems.
Naval architects traditionally use disconnected solutions for weight definition, shape modelling, structure and layout drawings, and hydrostatic and stability calculations based on 2D offsets methodology.
Under Jim's leadership, we will combine our worldwide hydrostatics operations, allowing us to realize further synergies and continue our focus on being one global company.
3) PPI TR-4, "PPI Listing of Hydrostatic Design Basis (HDB), Strength Design Basis (SDB), Pressure Design Basis (PDB) and Minimum Required Strength (MRS) Ratings for Thermoplastic Piping Materials or Pipe", Plastics Pipe Institute, Washington DC, 2005.
Pareek says, "We welcome Flint Hydrostatics to our growing family.
The advantages of the hydrostatics are extremely fine correction possibilities; excellent dimensional accuracy in interpolating the X- and Z-axis, both for contour grinding and form dressing; and even after years of use, there is no wear on the guideways and excellent damping and extremely smooth operation.
He made some notable contributions to science, especially in his works on statics and hydrostatics.
He read mathematics and hydrostatics at Uppsala University between 1764 and 1766, and subsequently studied engineering at the Trollhattan locks and the naval dockyards at Karlskrona.
the ending of Hume's "Dissertation on the Passions": "in the production and conduct of the passions, there is a certain regular mechanism, which is as susceptible of as accurate a disquisition, as the laws of motion, optics, hydrostatics, or any part of natural philosophy" (The Philosophical Works of David Hume [Boston: Little, Brown and Company, Edinburgh: Adam and Charles Black, 1854], 189-226, p.
articles on hydrostatics and Archimedes and poetry.