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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
A pressure prism is a way of visually describing the variation of hydrostatic pressure within a volume of fluid. When variables of fluid density , depth, gravity , and other forces such as atmospheric pressure are charted, the resulting figure somewhat resembles a prism .
A pressure can be identified for every point in a body of fluid, regardless of whether the fluid is in motion. Pressure can be measured using an aneroid, Bourdon tube, mercury column, or various other methods. The concepts of total pressure and dynamic pressure arise from Bernoulli's equation and are
Pressure head is a component of hydraulic head, in which it is combined with elevation head. When considering dynamic (flowing) systems, there is a third term needed: velocity head. Thus, the three terms of velocity head, elevation head, and pressure head appear in the head equation derived from the Bernoulli equation for incompressible fluids:
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 a hydrostatic example (first figure), where the hydraulic head is constant, there is no flow. However, if there is a difference in hydraulic head from the top to bottom due to draining from the bottom (second figure), the water will flow downward, due to the difference in head, also called the hydraulic gradient.
The pressure exerted by a column of liquid of height h and density ρ is given by the hydrostatic pressure equation p = ρgh, where g is the gravitational acceleration. Fluid density and local gravity can vary from one reading to another depending on local factors, so the height of a fluid column does not define pressure precisely.
The formula for calculating hydrostatic pressure in SI units (N/m 2) is: Hydrostatic pressure = Height (m) × Density (kg/m 3) × Gravity (m/s 2). [9] All fluids in a wellbore exert hydrostatic pressure, which is a function of density and vertical height of the fluid column. In US oil field units, hydrostatic pressure can be expressed as: