Question

The flow rate (volume flux) through a pipe that varies in cross-sectional area is constant; that is equivalent to stating that the product of the cross-sectional area A and the speed v at any point is a constant. This result is expressed in ___________.a)specific gravityb)buoyant forcec)Bernoulli’s equationd)the equation of continuity

Answer 1

Answer:

d)the equation of continuity

Explanation:

Assuming that the temperature of a fluid flowing through a pipe does not change, and therefore the volume of the fluid does not change; the volume flow rate of a fluid through a pipe remains constant even if the the cross sectional area of the pipe changes. The product of the cross sectional area of the pipe and the velocity of the fluid are equal is equal to the volume flow rate.  That is:

$V = A_{1} v_{1} = A_{2} v_{2}$