Velocity of Flow given Head Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity of Fluid for Weir = sqrt((2*Acceleration due to Gravity)*(Total Head-Critical Depth of Weir))
vf = sqrt((2*g)*(H-hc))
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Velocity of Fluid for Weir - (Measured in Meter per Second) - Velocity of Fluid for Weir is the volume of fluid flowing in the given vessel per unit cross sectional area.
Acceleration due to Gravity - (Measured in Meter per Square Second) - The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Total Head - (Measured in Meter) - Total Head is the combination of weir crested and additional head.
Critical Depth of Weir - (Measured in Meter) - The Critical Depth of Weir is defined as the depth of flow where energy is at a minimum for a particular discharge.
STEP 1: Convert Input(s) to Base Unit
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Total Head: 5 Meter --> 5 Meter No Conversion Required
Critical Depth of Weir: 1.001 Meter --> 1.001 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
vf = sqrt((2*g)*(H-hc)) --> sqrt((2*9.8)*(5-1.001))
Evaluating ... ...
vf = 8.85327058210693
STEP 3: Convert Result to Output's Unit
8.85327058210693 Meter per Second --> No Conversion Required
FINAL ANSWER
8.85327058210693 8.853271 Meter per Second <-- Velocity of Fluid for Weir
(Calculation completed in 00.004 seconds)

Credits

Created by M Naveen
National Institute of Technology (NIT), Warangal
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National Institute of Technology Karnataka (NITK), Surathkal
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20 Broad Crested Weir Calculators

Coefficient of Discharge given Actual Discharge over Broad Crested Weir
Go Coefficient of Discharge = Actual Discharge over Broad Crested Weir/(Length of Weir Crest*Critical Depth of Weir*sqrt((2*Acceleration due to Gravity)*(Total Head-Critical Depth of Weir)))
Length of Crest given Actual Discharge over Broad Crested Weir
Go Length of Weir Crest = Actual Discharge over Broad Crested Weir/(Coefficient of Discharge*Critical Depth of Weir*sqrt((2*Acceleration due to Gravity)*(Total Head-Critical Depth of Weir)))
Actual Discharge over Broad Crested Weir
Go Actual Discharge over Broad Crested Weir = Coefficient of Discharge*Length of Weir Crest*Critical Depth of Weir*sqrt((2*Acceleration due to Gravity)*(Total Head-Critical Depth of Weir))
Total Head for Actual Discharge over Broad Crested Weir
Go Total Head = (((Actual Discharge over Broad Crested Weir/(Coefficient of Discharge*Length of Weir Crest*Critical Depth of Weir))^2)*(1/(2*Acceleration due to Gravity)))+Critical Depth of Weir
Length of Crest given Discharge over Weir
Go Length of Weir Crest = Discharge Over Broad Crested Weir/(Critical Depth of Weir*sqrt((2*[g])*(Total Head-Critical Depth of Weir)))
Discharge over Broad Crested Weir
Go Discharge Over Broad Crested Weir = Length of Weir Crest*Critical Depth of Weir*sqrt((2*[g])*(Total Head-Critical Depth of Weir))
Total Head given Discharge over Weir Crest
Go Total Head = ((Discharge Over Broad Crested Weir/(Length of Weir Crest*Critical Depth of Weir))^2)*(1/(2*[g]))+Critical Depth of Weir
Velocity of Flow given Head
Go Velocity of Fluid for Weir = sqrt((2*Acceleration due to Gravity)*(Total Head-Critical Depth of Weir))
Head if Velocity is considered for Discharge over Broad Crested Weir
Go Total Head = (Max Discharge Over Broad Crested Weir/(1.70*Coefficient of Discharge*Length of Weir Crest))^(2/3)
Length of Crest over Broad Crested Weir for Max Discharge
Go Length of Weir Crest = Max Discharge Over Broad Crested Weir/(1.70*Coefficient of Discharge*(Total Head)^(3/2))
Total Head for Maximum Discharge
Go Total Head = (Max Discharge Over Broad Crested Weir/(1.70*Coefficient of Discharge*Length of Weir Crest))^(2/3)
Maximum Discharge of Broad Crested Weir if Critical Depth is Constant
Go Max Discharge Over Broad Crested Weir = 1.70*Coefficient of Discharge*Length of Weir Crest*(Total Head)^(3/2)
Coefficient of Discharge for Max Discharge over Crested Weir
Go Coefficient of Discharge = Max Discharge Over Broad Crested Weir/(1.70*Length of Weir Crest*(Total Head)^(3/2))
Max Discharge over Broad Crested Weir
Go Max Discharge Over Broad Crested Weir = 1.70*Coefficient of Discharge*Length of Weir Crest*(Total Head)^(3/2)
Length of Crest if Critical Depth is Constant for Discharge of Weir
Go Length of Weir Crest = Discharge Over Broad Crested Weir/(1.70*Coefficient of Discharge*(Total Head)^(3/2))
Coefficient of Discharge given Discharge of Weir if Critical Depth is Constant
Go Coefficient of Discharge = Discharge Over Broad Crested Weir/(1.70*Length of Weir Crest*(Total Head)^(3/2))
Critical Depth due to Reduction in Area of Flow Section given Total Head
Go Critical Depth of Weir = Total Head-(Velocity of Fluid for Weir^2/(2*Acceleration due to Gravity))
Total Head above Weir Crest
Go Total Head = Critical Depth of Weir+(Velocity of Fluid for Weir^2/(2*Acceleration due to Gravity))
Head for Broad Crested Weir
Go Head on Upstream of Weir = (Total Head+Additional Head)
Additional Head given Head for Broad Crested Weir
Go Additional Head = Head on Upstream of Weir-Total Head

Velocity of Flow given Head Formula

Velocity of Fluid for Weir = sqrt((2*Acceleration due to Gravity)*(Total Head-Critical Depth of Weir))
vf = sqrt((2*g)*(H-hc))

What is meant by Velocity of Flow?

The Velocity of Flow given head is the rate of change of its position with respect to a frame of reference and is a function of time.

What is meant by Acceleration due to Gravity?

Acceleration due to gravity is defined as the acceleration of a body in free fall under the influence of earth's gravity expressed as the rate of increase of velocity per second.

How to Calculate Velocity of Flow given Head?

Velocity of Flow given Head calculator uses Velocity of Fluid for Weir = sqrt((2*Acceleration due to Gravity)*(Total Head-Critical Depth of Weir)) to calculate the Velocity of Fluid for Weir, The Velocity of Flow given Head is the rate of change of its position with respect to a frame of reference and is a function of time. Velocity of Fluid for Weir is denoted by vf symbol.

How to calculate Velocity of Flow given Head using this online calculator? To use this online calculator for Velocity of Flow given Head, enter Acceleration due to Gravity (g), Total Head (H) & Critical Depth of Weir (hc) and hit the calculate button. Here is how the Velocity of Flow given Head calculation can be explained with given input values -> 8.853271 = sqrt((2*9.8)*(5-1.001)).

FAQ

What is Velocity of Flow given Head?
The Velocity of Flow given Head is the rate of change of its position with respect to a frame of reference and is a function of time and is represented as vf = sqrt((2*g)*(H-hc)) or Velocity of Fluid for Weir = sqrt((2*Acceleration due to Gravity)*(Total Head-Critical Depth of Weir)). The Acceleration due to Gravity is acceleration gained by an object because of gravitational force, Total Head is the combination of weir crested and additional head & The Critical Depth of Weir is defined as the depth of flow where energy is at a minimum for a particular discharge.
How to calculate Velocity of Flow given Head?
The Velocity of Flow given Head is the rate of change of its position with respect to a frame of reference and is a function of time is calculated using Velocity of Fluid for Weir = sqrt((2*Acceleration due to Gravity)*(Total Head-Critical Depth of Weir)). To calculate Velocity of Flow given Head, you need Acceleration due to Gravity (g), Total Head (H) & Critical Depth of Weir (hc). With our tool, you need to enter the respective value for Acceleration due to Gravity, Total Head & Critical Depth of Weir and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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