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p is the hydrostatic pressure (Pa), ρ is the fluid density (kg/m 3), g is gravitational acceleration (m/s 2), z is the height (parallel to the direction of gravity) of the test area (m), 0 is the height of the zero reference point of the pressure (m) p_0 is the hydrostatic pressure field (Pa) along x and y at the zero reference point
Its value at any given location within the fluid is the product of the fluid density (ρ), the depth (d), and the forces applied by gravity (g) plus any background pressures, such as atmospheric pressure. Hydrostatic pressure on surfaces surrounding (or within) fluid volumes can be represented by the pressure prism, a useful visualization ...
The surface is at constant depth, so the pressure is constant. Therefore, the integral of the pressure over the area of the horizontal bottom surface of the cube is the hydrostatic pressure at that depth multiplied by the area of the bottom surface. Similarly, the downward force on the cube is the pressure on the top surface integrated over its ...
Diagram of a newly formed planet in a state of hydrostatic equilibrium. In fluid mechanics, hydrostatic equilibrium (hydrostatic balance, hydrostasy) is the condition of a fluid or plastic solid at rest, which occurs when external forces, such as gravity, are balanced by a pressure-gradient force. [1]
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 ...
In fluid mechanics, the pressure-gradient force is the force that results when there is a difference in pressure across a surface. In general, a pressure is a force per unit area across a surface. A difference in pressure across a surface then implies a difference in force, which can result in an acceleration according to Newton's second law of ...
A specialized case of hydrostatic stress contains isotropic compressive stress, which changes only in volume, but not in shape. [1] Pure hydrostatic stress can be experienced by a point in a fluid such as water. It is often used interchangeably with "mechanical pressure" and is also known as confining stress, particularly in the field of ...
In physics, the Young–Laplace equation (/ l ə ˈ p l ɑː s /) is an algebraic equation that describes the capillary pressure difference sustained across the interface between two static fluids, such as water and air, due to the phenomenon of surface tension or wall tension, although use of the latter is only applicable if assuming that the wall is very thin.