The equation of continuity applied to an incompressible ideal fluid flowing through a pipe of varying diameter is based on what of the following being conserved for the fluid in the pipe?
A)its kinetic energy
B)its momentum
C)its flow rate
D)its potential energy

Question

Quizplus · Accepted Answer

The equation of continuity states that mass flow rate is conserved for an incompressible fluid flowing through a pipe of varying diameter. This means that the product of the fluid's density, velocity, and cross-sectional area is constant along the pipe, so the flow rate must also be constant. Therefore, choice C is the correct option. Kinetic energy, momentum, and potential energy may change along the pipe due to changes in velocity and elevation, but they are not conserved quantities for the fluid in this situation.

The Equation of Continuity Applied to an Incompressible Ideal Fluid