According to the principle of continuity,the velocity of a fluid multiplied by the cross-sectional area through which it flows at one point will equal the product of
A)velocity and cross-sectional area at another point.
B)velocity and pressure at another point.
C)a constraint factor.
D)none of the above

Question

Quizplus · Accepted Answer

The principle of continuity states that the mass flow rate of a fluid through any given pipe or channel must remain constant, assuming that the fluid is incompressible, meaning its density remains constant. This principle is based on the conservation of mass. Therefore, the product of the velocity of the fluid and the cross-sectional area through which it flows should remain constant at any given point in the pipe or channel. This means that as the cross-sectional area decreases, the velocity of the fluid should increase to maintain a constant mass flow rate. Therefore, the velocity of a fluid multiplied by the cross-sectional area through which it flows at one point can be equated to the product of the velocity and the area at another point, provided that the mass flow rate remains constant. Hence, the correct choice is A.

According to the Principle of Continuity,the Velocity of a Fluid