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)
Cd = 0.605+0.08*(Sw/hCrest)+(0.001/Sw)
This formula uses 3 Variables
Variables Used
Coefficient of Discharge - 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
Cd = 0.605+0.08*(Sw/hCrest)+(0.001/Sw) --> 0.605+0.08*(2/12)+(0.001/2)
Evaluating ... ...
Cd = 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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17 Flow Over Rectangular Sharp-Crested Weir or Notch Calculators

Rehbocks Formula for Discharge over Rectangular Weir
Go Francis Discharge with Suppressed End = 2/3*(0.605+0.08*(Height of Water above Crest of Weir/Height of Crest)+(0.001/Height of Water above Crest of Weir))*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest*Height of Water above Crest of Weir^(3/2)
Coefficient of Discharge given Discharge if Velocity considered
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
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
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
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))
Coefficient when Bazin Formula for Discharge Velocity is not considered
Go Bazins Coefficient = Bazins Discharge without Velocity/(sqrt(2*Acceleration due to Gravity)*Length of Weir Crest*Height of Water above Crest of Weir^(3/2))
Bazins Formula for Discharge if Velocity is not considered
Go Bazins Discharge without Velocity = Bazins Coefficient*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest*Height of Water above Crest of Weir^(3/2)
Francis Formula for Discharge for Rectangular Notch if Velocity is considered
Go Francis Discharge = 1.84*(Length of Weir Crest-0.1*Number of End Contraction*Still Water Head)*(Still Water Head^(3/2)-Velocity Head^(3/2))
Coefficient when Bazin Formula for Discharge if Velocity is considered
Go Bazins Coefficient = Bazins Discharge with Velocity/(sqrt(2*Acceleration due to Gravity)*Length of Weir Crest*Still Water Head^(3/2))
Bazins Formula for Discharge if Velocity is considered
Go Bazins Discharge with Velocity = Bazins Coefficient*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest*Still Water Head^(3/2)
Francis Formula for Discharge for Rectangular Notch if Velocity not considered
Go Francis Discharge = 1.84*(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)
Rehbocks Formula for Coefficient of Discharge
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)
Approach Velocity
Go Velocity of Flow 1 = Discharge by Approach Velocity/(Width of Channel1*Depth of Flow)
Depth of Water Flow in Channel given Velocity Approach
Go Depth of Flow = Discharge by Approach Velocity/(Width of Channel1*Velocity of Flow 1)
Width of Channel given Velocity Approach
Go Width of Channel1 = Discharge by Approach Velocity/(Velocity of Flow 1*Depth of Flow)
Coefficient for Bazin Formula
Go Bazins Coefficient = 0.405+(0.003/Height of Water above Crest of Weir)
Coefficient for Bazin Formula if Velocity is considered
Go Bazins Coefficient = 0.405+(0.003/Still Water Head)

Rehbocks Formula for Coefficient of Discharge Formula

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)
Cd = 0.605+0.08*(Sw/hCrest)+(0.001/Sw)

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 Cd 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 (Sw) & Height of Crest (hCrest) 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 Cd = 0.605+0.08*(Sw/hCrest)+(0.001/Sw) 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 (Sw) & Height of Crest (hCrest). 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 4 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))
  • 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)))
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