Water flows through a constriction in horizontal pipe as it enters the constriction, the water's:
Correct answer: C. Speed increases and pressure decreases
- A. Speed increases and pressure remains constant
- B. Speed increases and pressure increase
- C. Speed increases and pressure decreases
- D. Speed decreases and pressure Increases
Explanation
We know that the volume flow rate (Avt) is constant, with V/v = A, we know that Area is directionally proportional to velocity. 'Constriction' tells us that the area has decreased, thus the speed increases.According to Bernolie's theorem P + pgh + 1/2 = constant.Value for pgh is constant as it depends on height, the value for 1/2pv2 increases as velocity increases, thus to maintain the constant the value of pressure must decrease.
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About Bernoulli's Equation
Bernoulli’s equation applies conservation of energy to steady flow of an incompressible, non-viscous fluid along a streamline: pressure, kinetic and gravitational terms have a constant total. It explains pressure-speed changes in narrow pipes, Venturi meters and lift, and differs from continuity because it relates pressure as well as velocity and height.
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