Rehbocks Formula for Coefficient of Discharge Calculator

✖Height of Water above Crest of Weir is defined as the water surface height above crest.ⓘ Height of Water above Crest of Weir [S_w]			+10% -10%
✖Height of Crest is the distance between the lowest and highest points of Crest.ⓘ Height of Crest [h_Crest]			+10% -10%

✖The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.ⓘ Rehbocks Formula for Coefficient of Discharge [C_d]

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Rehbocks Formula for Coefficient of Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Discharge = 0.605+0.08*(Height of Water above Crest of Weir/Height of Crest)+(0.001/Height of Water above Crest of Weir)
C_d = 0.605+0.08*(S_w/h_Crest)+(0.001/S_w)
This formula uses 3 Variables

Variables Used

Coefficient of Discharge - The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.
Height of Water above Crest of Weir - (Measured in Meter) - Height of Water above Crest of Weir is defined as the water surface height above crest.
Height of Crest - (Measured in Meter) - Height of Crest is the distance between the lowest and highest points of Crest.

STEP 1: Convert Input(s) to Base Unit

Height of Water above Crest of Weir: 2 Meter --> 2 Meter No Conversion Required
Height of Crest: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_d = 0.605+0.08*(S_w/h_Crest)+(0.001/S_w) --> 0.605+0.08*(2/12)+(0.001/2)

Evaluating ... ...

C_d = 0.618833333333333

STEP 3: Convert Result to Output's Unit

0.618833333333333 --> No Conversion Required

FINAL ANSWER

0.618833333333333 ≈ 0.618833 <-- Coefficient of Discharge

(Calculation completed in 00.004 seconds)

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< Flow Over Rectangular Sharp Crested Weir or Notch Calculators

Coefficient of Discharge given Discharge if Velocity considered

LaTeX Go Coefficient of Discharge = (Francis Discharge*3)/(2*(sqrt(2*Acceleration due to Gravity))*(Length of Weir Crest-0.1*Number of End Contraction*Still Water Head)*(Still Water Head^(3/2)-Velocity Head^(3/2)))

Coefficient of Discharge given Discharge if Velocity not considered

LaTeX Go Coefficient of Discharge = (Francis Discharge*3)/(2*(sqrt(2*Acceleration due to Gravity))*(Length of Weir Crest-0.1*Number of End Contraction*Height of Water above Crest of Weir)*Height of Water above Crest of Weir^(3/2))

Coefficient of Discharge given Discharge Passing over Weir considering Velocity

LaTeX Go Coefficient of Discharge = (Francis Discharge with Suppressed End*3)/(2*(sqrt(2*Acceleration due to Gravity))*Length of Weir Crest*((Height of Water above Crest of Weir+Velocity Head)^(3/2)-Velocity Head^(3/2)))

Coefficient of Discharge given Discharge over Weir without considering Velocity

LaTeX Go Coefficient of Discharge = (Francis Discharge with Suppressed End*3)/(2*(sqrt(2*Acceleration due to Gravity))*Length of Weir Crest*Height of Water above Crest of Weir^(3/2))

Rehbocks Formula for Coefficient of Discharge Formula

LaTeX Go

Coefficient of Discharge = 0.605+0.08*(Height of Water above Crest of Weir/Height of Crest)+(0.001/Height of Water above Crest of Weir)
C_d = 0.605+0.08*(S_w/h_Crest)+(0.001/S_w)

What is meant by Head?

In hydraulics, Head is defined as a measure of the potential of fluid at the measurement point. it is the measure of height of water.

How to Calculate Rehbocks Formula for Coefficient of Discharge?

Rehbocks Formula for Coefficient of Discharge calculator uses Coefficient of Discharge = 0.605+0.08*(Height of Water above Crest of Weir/Height of Crest)+(0.001/Height of Water above Crest of Weir) to calculate the Coefficient of Discharge, The Rehbocks Formula for Coefficient of Discharge is the ratio of actual discharge through a nozzle or orifice to the theoretical discharge. Coefficient of Discharge is denoted by C_d symbol.

How to calculate Rehbocks Formula for Coefficient of Discharge using this online calculator? To use this online calculator for Rehbocks Formula for Coefficient of Discharge, enter Height of Water above Crest of Weir (S_w) & Height of Crest (h_Crest) and hit the calculate button. Here is how the Rehbocks Formula for Coefficient of Discharge calculation can be explained with given input values -> 0.618833 = 0.605+0.08*(2/12)+(0.001/2).

FAQ

What is Rehbocks Formula for Coefficient of Discharge?

The Rehbocks Formula for Coefficient of Discharge is the ratio of actual discharge through a nozzle or orifice to the theoretical discharge and is represented as C_d = 0.605+0.08*(S_w/h_Crest)+(0.001/S_w) or Coefficient of Discharge = 0.605+0.08*(Height of Water above Crest of Weir/Height of Crest)+(0.001/Height of Water above Crest of Weir). Height of Water above Crest of Weir is defined as the water surface height above crest & Height of Crest is the distance between the lowest and highest points of Crest.

How to calculate Rehbocks Formula for Coefficient of Discharge?

The Rehbocks Formula for Coefficient of Discharge is the ratio of actual discharge through a nozzle or orifice to the theoretical discharge is calculated using Coefficient of Discharge = 0.605+0.08*(Height of Water above Crest of Weir/Height of Crest)+(0.001/Height of Water above Crest of Weir). To calculate Rehbocks Formula for Coefficient of Discharge, you need Height of Water above Crest of Weir (S_w) & Height of Crest (h_Crest). With our tool, you need to enter the respective value for Height of Water above Crest of Weir & Height of Crest and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Coefficient of Discharge?

In this formula, Coefficient of Discharge uses Height of Water above Crest of Weir & Height of Crest. We can use 3 other way(s) to calculate the same, which is/are as follows -

Coefficient of Discharge = (Francis Discharge with Suppressed End*3)/(2*(sqrt(2*Acceleration due to Gravity))*Length of Weir Crest*Height of Water above Crest of Weir^(3/2))
Coefficient of Discharge = (Francis Discharge with Suppressed End*3)/(2*(sqrt(2*Acceleration due to Gravity))*Length of Weir Crest*((Height of Water above Crest of Weir+Velocity Head)^(3/2)-Velocity Head^(3/2)))
Coefficient of Discharge = (Francis Discharge*3)/(2*(sqrt(2*Acceleration due to Gravity))*(Length of Weir Crest-0.1*Number of End Contraction*Height of Water above Crest of Weir)*Height of Water above Crest of Weir^(3/2))

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