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  2. Hydrostatics - Wikipedia

    en.wikipedia.org/wiki/Hydrostatics

    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

  3. Pascal's law - Wikipedia

    en.wikipedia.org/wiki/Pascal's_law

    Pressure in water and air. Pascal's law applies for fluids. Pascal's principle is defined as: A change in pressure at any point in an enclosed incompressible fluid at rest is transmitted equally and undiminished to all points in all directions throughout the fluid, and the force due to the pressure acts at right angles to the enclosing walls.

  4. Hydrostatic stress - Wikipedia

    en.wikipedia.org/wiki/Hydrostatic_stress

    Hydrostatic stress. 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]

  5. Pressure - Wikipedia

    en.wikipedia.org/wiki/Pressure

    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.

  6. Hydrostatic equilibrium - Wikipedia

    en.wikipedia.org/wiki/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] In the planetary physics of Earth, the pressure-gradient force prevents gravity from collapsing the planetary ...

  7. Vertical pressure variation - Wikipedia

    en.wikipedia.org/wiki/Vertical_pressure_variation

    A relatively simple version [1] of the vertical fluid pressure variation is simply that the pressure difference between two elevations is the product of elevation change, gravity, and density. The equation is as follows: where. P is pressure, ρ is density, g is acceleration of gravity, and. h is height. The delta symbol indicates a change in a ...

  8. Hagen–Poiseuille equation - Wikipedia

    en.wikipedia.org/wiki/Hagen–Poiseuille_equation

    Continuum mechanics. In non ideal fluid dynamics, the Hagen–Poiseuille equation, also known as the Hagen–Poiseuille law, Poiseuille law or Poiseuille equation, is a physical law that gives the pressure drop in an incompressible and Newtonian fluid in laminar flow flowing through a long cylindrical pipe of constant cross section.

  9. Shallow water equations - Wikipedia

    en.wikipedia.org/wiki/Shallow_water_equations

    The shallow-water equations (SWE) are a set of hyperbolic partial differential equations (or parabolic if viscous shear is considered) that describe the flow below a pressure surface in a fluid (sometimes, but not necessarily, a free surface). [1] The shallow-water equations in unidirectional form are also called (de) Saint-Venant equations ...