Chezy's formula is an empirical formula used in hydraulics to estimate the average flow velocity in open channels and pipes. It is given by: $v = C \sqrt{mi}$ where: - $v$ is the average velocity of flow. - $C$ is Chezy's coefficient, which depends on the roughness of the channel/pipe and the flow conditions. - $m$ is the hydraulic mean depth, which is the ratio of the cross-sectional area of flow (A) to the wetted perimeter (P). $m = A/P$. For a circular pipe flowing full, $m = D/4$, where D is the diameter. - $i$ is the hydraulic gradient, which is the head lost due to friction per unit length of the pipe/channel. $i = h_f / L$, where $h_f$ is the head loss and $L$ is the length.
According to Chezy's formula, velocity of flow through a pipeline is given by – - (1) $v = m\sqrt{Ci}$ - (2) $v = i\sqrt{mC}$ - (3) $v = C^2\sqrt{mi}$ - (4) $v = C\sqrt{mi}$ - (5) Question not attempted Where m is hydraulic mean depth and i is head lost in friction per unit length and ‘C’ is the Chezy's constant.
Asked in Assistant Eng. (Mechanical) Competitive Examination, 2023 · Topic: Mechanics (Fluid Statics and Dynamics (Continuity Equation, Bernoulli's Theorem))
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