For steady flow of an incompressible fluid through a pipe, which relation expresses the continuity equation?
Correct answer: A. A₁V₁ = A₂V₂
- A. A₁V₁ = A₂V₂
- B. A₁P₁ = A₂P₂
- C. V₁ + A₁ = V₂ + A₂
- D. P₁V₁ = P₂V₂
Explanation
The continuity equation states that discharge remains constant, so area multiplied by mean velocity is constant. Pressure and velocity are related by other equations, not by continuity alone.
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Hydraulics studies fluid properties, pressure, buoyancy, continuity, Bernoulli's equation, momentum, pipe flow, open-channel flow and hydraulic machines. Water resources extends these principles to pumps, turbines, reservoirs, irrigation, floods and hydrology, while distinguishing laminar from turbulent flow and uniform from gradually varied channel flow.
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