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Velocity of Flow given Head Formula

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Velocity of Fluid for Weir is the volume of fluid flowing in the given vessel per unit cross sectional area. Check FAQs

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

v_f - Velocity of Fluid for Weir?g - Acceleration due to Gravity?H - Total Head?h_c - Critical Depth of Weir?

Velocity of Flow given Head Example

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Here is how the Velocity of Flow given Head equation looks like with Values.

Here is how the Velocity of Flow given Head equation looks like with Units.

Here is how the Velocity of Flow given Head equation looks like.

8.8533 = \sqrt{(2 \cdot 9.8) \cdot (5 - 1.001)}

8.8533m/s = \sqrt{(2 \cdot 9.8m/s²) \cdot (5m - 1.001m)}

8.8533 = \sqrt{(2 \cdot 9.8) \cdot (5 - 1.001)}

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Velocity of Flow given Head Solution

Follow our step by step solution on how to calculate Velocity of Flow given Head?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

v f = \sqrt{(2 \cdot 9.8) \cdot (5 - 1.001)}

Next Step Evaluate

∴

v f = 8.85327058210693m/s

LAST Step Rounding Answer

∴

v f = 8.8533m/s

Velocity of Flow given Head Formula Elements

Variables

Functions

Velocity of Fluid for Weir

Velocity of Fluid for Weir is the volume of fluid flowing in the given vessel per unit cross sectional area.

Symbol: v_f

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity of Fluid for Weir

Acceleration due to Gravity

The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration due to Gravity

Total Head

Total Head is the combination of weir crested and additional head.

Symbol: H

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Total Head

Critical Depth of Weir

The Critical Depth of Weir is defined as the depth of flow where energy is at a minimum for a particular discharge.

Symbol: h_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Critical Depth of Weir

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.

Syntax: sqrt(Number)

Other formulas in Broad Crested Weir category

Go Total Head above Weir Crest

H = h c + (\frac{{v f}^{2}}{2 \cdot g})

Go Critical Depth due to Reduction in Area of Flow Section given Total Head

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

Go Discharge over Broad Crested Weir

Q w = L w \cdot h c \cdot \sqrt{(2 \cdot [g]) \cdot (H - h c)}

Go Length of Crest given Discharge over Weir

L w = \frac{Q w}{h c \cdot \sqrt{(2 \cdot [g]) \cdot (H - h c)}}

How to Evaluate Velocity of Flow given Head?

Velocity of Flow given Head evaluator uses Velocity of Fluid for Weir = sqrt((2*Acceleration due to Gravity)*(Total Head-Critical Depth of Weir)) to evaluate 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 evaluate Velocity of Flow given Head using this online evaluator? To use this online evaluator 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.

FAQs on Velocity of Flow given Head

What is the formula to find Velocity of Flow given Head?

The formula of Velocity of Flow given Head is expressed as Velocity of Fluid for Weir = sqrt((2*Acceleration due to Gravity)*(Total Head-Critical Depth of Weir)). Here is an example- 8.853271 = sqrt((2*9.8)*(5-1.001)).

How to calculate Velocity of Flow given Head?

With Acceleration due to Gravity (g), Total Head (H) & Critical Depth of Weir (h_c) we can find Velocity of Flow given Head using the formula - Velocity of Fluid for Weir = sqrt((2*Acceleration due to Gravity)*(Total Head-Critical Depth of Weir)). This formula also uses Square Root (sqrt) function(s).

Can the Velocity of Flow given Head be negative?

Yes, the Velocity of Flow given Head, measured in Speed can be negative.

Which unit is used to measure Velocity of Flow given Head?

Velocity of Flow given Head is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Velocity of Flow given Head can be measured.

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