The continuity equation is simply a statement about conservation of mass. The amount of stuff flowing into a pipe must be equal to the amount of stuff flowing out of the pipe (as long as there are no sources of “stuff” or holes in the pipe). The volume of fluid flowing through a pipe can be expressed as the product of the cross-sectional area of the pipe A and the velocity of the fluid v. Then the equation can be written as v1A1 = v2A2. If the radius r1 is twice the radius r2, what is the speed of the fluid in the smaller section of pipe v2 compared to v1?
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.
. The continuity equation is simply a statement about conservation of mass. The amount of stuff flowing into a pipe must be equal to the amount of stuff flowing out of the pipe (as long as there are no sources of “stuff” or holes in the pipe). The volume of fluid flowing through a pipe can be expressed as the product of the cross-sectional area of the pipe A and the velocity of the fluid v. Then the equation can be written as v1A1 = v2A2. If the radius r1 is twice the radius r2, what is the speed of the fluid in the smaller section of pipe v2 compared to v1?
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