The equation of continuity of a fluid is related to the conservation of
Correct answer: A. Mass
- A. Mass
- B. Energy
- C. Momentum
- D. Angular momentum.
Explanation
The equation of continuity expresses the conservation of mass in fluid dynamics. It states that for an incompressible and steady-flow fluid, the mass flow rate must remain constant from one cross-section to another, which is why it is directly related to the conservation of mass. The other options, such as energy, momentum, and angular momentum, are crucial in fluid dynamics but are associated with different principles and equations. Energy relates more to Bernoulli's principle, momentum to the Navier-Stokes equations, and angular momentum to rotational dynamics, none of which are directly described by the equation of continuity.
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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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