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Coefficient of Discharge (Cd) when Discharge (Q) Passing Over the Weir is given Solution

STEP 0: Pre-Calculation Summary
Formula Used
discharge_coefficient = (Discharge*3)/(2*sqrt(2*Acceleration Due To Gravity)*Length*((Head+additional Head)^(3/2)-additional Head^(3/2)))
CD = (Q*3)/(2*sqrt(2*g)*l*((H+ha)^(3/2)-ha^(3/2)))
This formula uses 1 Functions, 5 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Discharge - Discharge is the rate of flow of a liquid (Measured in Meter³ per Second)
Acceleration Due To Gravity - The Acceleration Due To Gravity is acceleration gained by an object because of gravitational force. (Measured in Meter per Square Second)
Length - Length is the measurement or extent of something from end to end. (Measured in Meter)
Head - Head is defined as the height of water columns (Measured in Meter)
additional head - additional head is the applied head due to the velocity of approach (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Discharge: 1 Meter³ per Second --> 1 Meter³ per Second No Conversion Required
Acceleration Due To Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required
Head: 1 Meter --> 1 Meter No Conversion Required
additional head: 50 Meter --> 50 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
CD = (Q*3)/(2*sqrt(2*g)*l*((H+ha)^(3/2)-ha^(3/2))) --> (1*3)/(2*sqrt(2*9.8)*3*((1+50)^(3/2)-50^(3/2)))
Evaluating ... ...
CD = 0.0105951423128386
STEP 3: Convert Result to Output's Unit
0.0105951423128386 --> No Conversion Required
FINAL ANSWER
0.0105951423128386 <-- Discharge coefficient
(Calculation completed in 00.031 seconds)

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3 Other formulas that calculate the same Output

Discharge Coefficient when Discharge is Given
discharge_coefficient = log(Discharge/Integration constant,Depth) Go
Discharge coefficient if flow area is known
discharge_coefficient = Actual nozzle flow area/Nozzle throat area Go
Discharge coefficient if mass flow is known
discharge_coefficient = Actual mass flow/Ideal mass flow rate Go

Coefficient of Discharge (Cd) when Discharge (Q) Passing Over the Weir is given Formula

discharge_coefficient = (Discharge*3)/(2*sqrt(2*Acceleration Due To Gravity)*Length*((Head+additional Head)^(3/2)-additional Head^(3/2)))
CD = (Q*3)/(2*sqrt(2*g)*l*((H+ha)^(3/2)-ha^(3/2)))

What is Discharge?

The Discharge Over the Weir is a measure of the quantity of any fluid flow over unit time. The quantity may be either volume or mass.

How to Calculate Coefficient of Discharge (Cd) when Discharge (Q) Passing Over the Weir is given?

Coefficient of Discharge (Cd) when Discharge (Q) Passing Over the Weir is given calculator uses discharge_coefficient = (Discharge*3)/(2*sqrt(2*Acceleration Due To Gravity)*Length*((Head+additional Head)^(3/2)-additional Head^(3/2))) to calculate the Discharge coefficient , The Coefficient of Discharge (Cd) when Discharge (Q) Passing Over the Weir is given is the ratio of actual discharge through a nozzle or orifice to the theoretical discharge. Discharge coefficient and is denoted by CD symbol.

How to calculate Coefficient of Discharge (Cd) when Discharge (Q) Passing Over the Weir is given using this online calculator? To use this online calculator for Coefficient of Discharge (Cd) when Discharge (Q) Passing Over the Weir is given, enter Discharge (Q), Acceleration Due To Gravity (g), Length (l), Head (H) and additional head (ha) and hit the calculate button. Here is how the Coefficient of Discharge (Cd) when Discharge (Q) Passing Over the Weir is given calculation can be explained with given input values -> 0.010595 = (1*3)/(2*sqrt(2*9.8)*3*((1+50)^(3/2)-50^(3/2))).

FAQ

What is Coefficient of Discharge (Cd) when Discharge (Q) Passing Over the Weir is given?
The Coefficient of Discharge (Cd) when Discharge (Q) Passing Over the Weir is given is the ratio of actual discharge through a nozzle or orifice to the theoretical discharge and is represented as CD = (Q*3)/(2*sqrt(2*g)*l*((H+ha)^(3/2)-ha^(3/2))) or discharge_coefficient = (Discharge*3)/(2*sqrt(2*Acceleration Due To Gravity)*Length*((Head+additional Head)^(3/2)-additional Head^(3/2))). Discharge is the rate of flow of a liquid, The Acceleration Due To Gravity is acceleration gained by an object because of gravitational force, Length is the measurement or extent of something from end to end, Head is defined as the height of water columns and additional head is the applied head due to the velocity of approach.
How to calculate Coefficient of Discharge (Cd) when Discharge (Q) Passing Over the Weir is given?
The Coefficient of Discharge (Cd) when Discharge (Q) Passing Over the Weir is given is the ratio of actual discharge through a nozzle or orifice to the theoretical discharge is calculated using discharge_coefficient = (Discharge*3)/(2*sqrt(2*Acceleration Due To Gravity)*Length*((Head+additional Head)^(3/2)-additional Head^(3/2))). To calculate Coefficient of Discharge (Cd) when Discharge (Q) Passing Over the Weir is given, you need Discharge (Q), Acceleration Due To Gravity (g), Length (l), Head (H) and additional head (ha). With our tool, you need to enter the respective value for Discharge, Acceleration Due To Gravity, Length, Head and additional head 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 Discharge coefficient ?
In this formula, Discharge coefficient uses Discharge, Acceleration Due To Gravity, Length, Head and additional head. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • discharge_coefficient = Actual mass flow/Ideal mass flow rate
  • discharge_coefficient = Actual nozzle flow area/Nozzle throat area
  • discharge_coefficient = log(Discharge/Integration constant,Depth)
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