A spherical particle falling at a terminal speed in a liquidmust have the gravitational force balanced by the drag forceand the buoyant force. The buoyant force is equal to theweight of the displaced fluid, while the drag force is assumedto be given by Stokes Law, Fs = 6πrηv . Show that theterminal speed is given by as shown where R is the radius of the sphere, ρs is its density, and ρ1 is the density of the fluid and η the coefficient of viscosity.
Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
A spherical particle falling at a terminal speed in a liquid
must have the gravitational force balanced by the drag force
and the buoyant force. The buoyant force is equal to the
weight of the displaced fluid, while the drag force is assumed
to be given by Stokes Law, Fs = 6πrηv . Show that the
terminal speed is given by as shown where R is the radius of
the sphere, ρs is its density, and ρ1 is the density of the fluid and η the coefficient of viscosity.
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