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Total Head above Weir Crest Formula

GoTotal Head given Discharge over Weir Crest Formula

GoTotal Head for Actual Discharge over Broad Crested Weir Formula

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

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

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

Total Head above Weir Crest Example

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Here is how the Total Head above Weir Crest equation looks like with Values.

Here is how the Total Head above Weir Crest equation looks like with Units.

Here is how the Total Head above Weir Crest equation looks like.

4.952 = 1.001 + (\frac{{8.8}^{2}}{2 \cdot 9.8})

4.952m = 1.001m + (\frac{{8.8m/s}^{2}}{2 \cdot 9.8m/s²})

4.952 = 1.001 + (\frac{{8.8}^{2}}{2 \cdot 9.8})

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Total Head above Weir Crest Solution

Follow our step by step solution on how to calculate Total Head above Weir Crest?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

H = 1.001m + (\frac{{8.8m/s}^{2}}{2 \cdot 9.8m/s²})

Next Step Prepare to Evaluate

∴

H = 1.001 + (\frac{{8.8}^{2}}{2 \cdot 9.8})

Next Step Evaluate

∴

H = 4.95202040816327m

LAST Step Rounding Answer

∴

H = 4.952m

Total Head above Weir Crest Formula Elements

Variables

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

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

Other Formulas to find Total Head

Go Total Head given Discharge over Weir Crest

H = ({(\frac{Q w}{L w \cdot h c})}^{2}) \cdot (\frac{1}{2 \cdot [g]}) + h c

Go Total Head for Actual Discharge over Broad Crested Weir

H = (({(\frac{Q a}{C d \cdot L w \cdot h c})}^{2}) \cdot (\frac{1}{2 \cdot g})) + h c

Go Total Head for Maximum Discharge

H = {(\frac{Q W(max)}{1.70 \cdot C d \cdot L w})}^{\frac{2}{3}}

Go Head if Velocity is considered for Discharge over Broad Crested Weir

H = {(\frac{Q W(max)}{1.70 \cdot C d \cdot L w})}^{\frac{2}{3}}

Other formulas in Broad Crested Weir category

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 Velocity of Flow given Head

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

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 Total Head above Weir Crest?

Total Head above Weir Crest evaluator uses Total Head = Critical Depth of Weir+(Velocity of Fluid for Weir^2/(2*Acceleration due to Gravity)) to evaluate the Total Head, Total Head above Weir Crest is defined as the vertical distance between the water level upstream of the weir and the crest of the weir. Total Head is denoted by H symbol.

How to evaluate Total Head above Weir Crest using this online evaluator? To use this online evaluator for Total Head above Weir Crest, enter Critical Depth of Weir (h_c), Velocity of Fluid for Weir (v_f) & Acceleration due to Gravity (g) and hit the calculate button.

FAQs on Total Head above Weir Crest

What is the formula to find Total Head above Weir Crest?

The formula of Total Head above Weir Crest is expressed as Total Head = Critical Depth of Weir+(Velocity of Fluid for Weir^2/(2*Acceleration due to Gravity)). Here is an example- 4.95202 = 1.001+(8.8^2/(2*9.8)).

How to calculate Total Head above Weir Crest?

With Critical Depth of Weir (h_c), Velocity of Fluid for Weir (v_f) & Acceleration due to Gravity (g) we can find Total Head above Weir Crest using the formula - Total Head = Critical Depth of Weir+(Velocity of Fluid for Weir^2/(2*Acceleration due to Gravity)).

What are the other ways to Calculate Total Head?

Here are the different ways to Calculate Total Head-

Total Head=((Discharge Over Broad Crested Weir/(Length of Weir Crest*Critical Depth of Weir))^2)*(1/(2*[g]))+Critical Depth of Weir
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
Total Head=(Max Discharge Over Broad Crested Weir/(1.70*Coefficient of Discharge*Length of Weir Crest))^(2/3)

Can the Total Head above Weir Crest be negative?

Yes, the Total Head above Weir Crest, measured in Length can be negative.

Which unit is used to measure Total Head above Weir Crest?

Total Head above Weir Crest is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Total Head above Weir Crest can be measured.

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