According to equation of continuity A1V1 = A2V2 = constant. The constant is equal to_______________?
Correct answer: A. Flow rate
- A. Flow rate
- B. Volume of fluid
- C. Mass of fluid
- D. The density of the fluid
Explanation
In A1V1 = A2V2, area in m² multiplied by speed in m/s gives m³/s, which is volume flow rate or discharge. The likely mistake is choosing volume of fluid, which has unit m³ and is not a rate.
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About Equation of Continuity
The equation of continuity expresses conservation of mass in fluid flow. For steady incompressible flow, Av remains constant, so fluid speed increases when the cross-sectional area decreases; for compressible flow, ρAv is constant. This relation describes flow rate and area-speed changes without including pressure effects from Bernoulli’s equation.
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