Which expression is used in the Manning equation for the discharge of a prismatic open channel?
Correct answer: D. Q = (1/n) A R^(2/3) S^(1/2)
- A. Q = A R S n
- B. Q = n A R^(2/3) S^(1/2)
- C. Q = (1/n) A R^(1/2) S^(2/3)
- D. Q = (1/n) A R^(2/3) S^(1/2)
Explanation
The Manning equation is Q = (1/n) A R^(2/3) S^(1/2), where n is roughness, A is flow area, R is hydraulic radius, and S is energy slope. The exponents and the inverse relation with roughness are common sources of error.
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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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