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Fluid Mechanics

Sequence of Expressions

A change in pressure at any point in an enclosed fluid at rest is transmitted undiminished to all points in the fluid.
The upward buoyant force that is exerted on a body immersed in a fluid, whether fully or partially, is equal to the weight of the fluid that the body displaces.
An increase in the speed of a fluid occurs simultaneously with a decrease in static pressure or a decrease in the fluid's potential energy.
The force of viscosity on a small sphere moving through a viscous fluid is given by Fd=6πηrvF_d = 6\pi \eta r v.
The pressure drop in an incompressible and Newtonian fluid in laminar flow flowing through a long cylindrical pipe of constant cross section is inversely proportional to the fourth power of the radius of the pipe.
The speed of efflux of a fluid through a sharp-edged hole at the bottom of a tank filled to a depth hh is the same as the speed that a body (in this case a drop of water) would acquire in falling freely from a height hh: v=2ghv = \sqrt{2gh}.
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.
Shear stress is linearly proportional to the velocity gradient in the direction perpendicular to the plane of shear.