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Total Head given Discharge over Weir Crest Formula

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

H - Total Head?Q_w - Discharge Over Broad Crested Weir?L_w - Length of Weir Crest?h_c - Critical Depth of Weir?[g] - Gravitational acceleration on Earth?

Total Head given Discharge over Weir Crest Example

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Here is how the Total Head given Discharge over Weir Crest equation looks like with Values.

Here is how the Total Head given Discharge over Weir Crest equation looks like with Units.

Here is how the Total Head given Discharge over Weir Crest equation looks like.

5.0014 = ({(\frac{26.6}{3 \cdot 1.001})}^{2}) \cdot (\frac{1}{2 \cdot 9.8066}) + 1.001

5.0014m = ({(\frac{26.6m³/s}{3m \cdot 1.001m})}^{2}) \cdot (\frac{1}{2 \cdot 9.8066m/s²}) + 1.001m

5.0014 = ({(\frac{26.6}{3 \cdot 1.001})}^{2}) \cdot (\frac{1}{2 \cdot 9.8066}) + 1.001

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Total Head given Discharge over Weir Crest Solution

Follow our step by step solution on how to calculate Total Head given Discharge over Weir Crest?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

H = ({(\frac{26.6m³/s}{3m \cdot 1.001m})}^{2}) \cdot (\frac{1}{2 \cdot [g]}) + 1.001m

Next Step Substitute values of Constants

∴

H = ({(\frac{26.6m³/s}{3m \cdot 1.001m})}^{2}) \cdot (\frac{1}{2 \cdot 9.8066m/s²}) + 1.001m

Next Step Prepare to Evaluate

∴

H = ({(\frac{26.6}{3 \cdot 1.001})}^{2}) \cdot (\frac{1}{2 \cdot 9.8066}) + 1.001

Next Step Evaluate

∴

H = 5.00138635831181m

LAST Step Rounding Answer

∴

H = 5.0014m

Total Head given Discharge over Weir Crest Formula Elements

Variables

Constants

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

Discharge Over Broad Crested Weir

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

Symbol: Q_w

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge Over Broad Crested Weir

Length of Weir Crest

Length of Weir Crest is the measurement or extent of Weir Crest from end to end.

Symbol: L_w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Weir Crest

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

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Other Formulas to find Total Head

Go Total Head above Weir Crest

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

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 given Discharge over Weir Crest?

Total Head given Discharge over Weir Crest evaluator uses Total Head = ((Discharge Over Broad Crested Weir/(Length of Weir Crest*Critical Depth of Weir))^2)*(1/(2*[g]))+Critical Depth of Weir to evaluate the Total Head, Total Head given Discharge over Weir Crest is defined as the combination of crested weir head and the additional head. Total Head is denoted by H symbol.

How to evaluate Total Head given Discharge over Weir Crest using this online evaluator? To use this online evaluator for Total Head given Discharge over Weir Crest, enter Discharge Over Broad Crested Weir (Q_w), Length of Weir Crest (L_w) & Critical Depth of Weir (h_c) and hit the calculate button.

FAQs on Total Head given Discharge over Weir Crest

What is the formula to find Total Head given Discharge over Weir Crest?

The formula of Total Head given Discharge over Weir Crest is expressed as Total Head = ((Discharge Over Broad Crested Weir/(Length of Weir Crest*Critical Depth of Weir))^2)*(1/(2*[g]))+Critical Depth of Weir. Here is an example- 5.001386 = ((26.6/(3*1.001))^2)*(1/(2*[g]))+1.001.

How to calculate Total Head given Discharge over Weir Crest?

With Discharge Over Broad Crested Weir (Q_w), Length of Weir Crest (L_w) & Critical Depth of Weir (h_c) we can find Total Head given Discharge over Weir Crest using the formula - Total Head = ((Discharge Over Broad Crested Weir/(Length of Weir Crest*Critical Depth of Weir))^2)*(1/(2*[g]))+Critical Depth of Weir. This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Total Head?

Here are the different ways to Calculate Total Head-

Total Head=Critical Depth of Weir+(Velocity of Fluid for Weir^2/(2*Acceleration due to Gravity))
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 given Discharge over Weir Crest be negative?

Yes, the Total Head given Discharge over Weir Crest, measured in Length can be negative.

Which unit is used to measure Total Head given Discharge over Weir Crest?

Total Head given Discharge over 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 given Discharge over Weir Crest can be measured.

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Total Head given Discharge over Weir Crest Formula

​GoTotal Head above Weir Crest Formula

​GoTotal Head for Actual Discharge over Broad Crested Weir Formula

Total Head given Discharge over Weir Crest Example

Total Head given Discharge over Weir Crest Solution

Total Head given Discharge over Weir Crest Formula Elements

Other Formulas to find Total Head

Other formulas in Broad Crested Weir category

How to Evaluate Total Head given Discharge over Weir Crest?

FAQs on Total Head given Discharge over Weir Crest

Variable Name

GoTotal Head above Weir Crest Formula

GoTotal Head for Actual Discharge over Broad Crested Weir Formula