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In fluid mechanics, the center of pressure is the point on a ... The center of pressure of the added flow field is behind the center of gravity and the additional ...
Buoyancy can exist without gravity in the presence of an inertial reference frame, but without an apparent "downward" direction of gravity or other source of acceleration, buoyancy does not exist. The center of buoyancy of an object is the center of gravity of the displaced volume of fluid.
The concept of center of gravity or weight was studied extensively by the ancient Greek mathematician, physicist, and engineer Archimedes of Syracuse.He worked with simplified assumptions about gravity that amount to a uniform field, thus arriving at the mathematical properties of what we now call the center of mass.
In tanks or spaces that are partially filled with a fluid or semi-fluid (fish, ice, or grain for example) as the tank is inclined the surface of the liquid, or semi-fluid, stays level. This results in a displacement of the centre of gravity of the tank or space relative to the overall centre of gravity.
Water accumulating in the hull usually drains to the bilges, lowering the center of gravity and actually increasing the metacentric height. This assumes the ship remains stationary and upright. However, once the ship is inclined to any degree (a wave strikes it for example), the fluid in the bilge moves to the lower side. This results in a list.
In this case the field is gravity, so Φ = −ρ f gz where g is the gravitational acceleration, ρ f is the mass density of the fluid. Taking the pressure as zero at the surface, where z is zero, the constant will be zero, so the pressure inside the fluid, when it is subject to gravity, is =.
One can further define a unique center of gravity by approximating the field as either parallel or spherically symmetric. The concept of a center of gravity as distinct from the center of mass is rarely used in applications, even in celestial mechanics, where non-uniform fields are important. Since the center of gravity depends on the external ...
Gravity currents may be simulated by the shallow water equations, with special dispensation for the leading edge which behaves as a discontinuity. [1] When a gravity current propagates along a plane of neutral buoyancy within a stratified ambient fluid, it is known as a gravity current intrusion.