Velocity of Flow given Head Calculator

✖The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖Total Head is the combination of weir crested and additional head.ⓘ Total Head [H]			+10% -10%
✖The Critical Depth of Weir is defined as the depth of flow where energy is at a minimum for a particular discharge.ⓘ Critical Depth of Weir [h_c]			+10% -10%

✖Velocity of Fluid for Weir is the volume of fluid flowing in the given vessel per unit cross sectional area.ⓘ Velocity of Flow given Head [v_f]

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Formula

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Velocity of Flow given Head

Formula

v f = \sqrt{(2 \cdot g) \cdot (H - h c)}

Example

8.853271 m/s = \sqrt{(2 \cdot 9.8 m/s²) \cdot (5 m - 1.001 m)}

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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))
v_f = sqrt((2*g)*(H-h_c))
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

v_f = sqrt((2*g)*(H-h_c)) --> sqrt((2*9.8)*(5-1.001))

Evaluating ... ...

v_f = 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)

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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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< Broad Crested Weir Calculators

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))

Velocity of Flow given Head

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

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))

Velocity of Flow given Head Formula

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

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 v_f 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 (h_c) 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 v_f = sqrt((2*g)*(H-h_c)) 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 (h_c). 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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