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Total Head for Actual Discharge over Broad Crested Weir Formula

GoTotal Head above Weir Crest Formula

GoTotal Head given Discharge over Weir Crest Formula

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

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

H - Total Head?Q_a - Actual Discharge over Broad Crested Weir?C_d - Coefficient of Discharge?L_w - Length of Weir Crest?h_c - Critical Depth of Weir?g - Acceleration due to Gravity?

Total Head for Actual Discharge over Broad Crested Weir Example

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Here is how the Total Head for Actual Discharge over Broad Crested Weir equation looks like with Values.

Here is how the Total Head for Actual Discharge over Broad Crested Weir equation looks like with Units.

Here is how the Total Head for Actual Discharge over Broad Crested Weir equation looks like.

4.9968 = (({(\frac{17.54}{0.66 \cdot 3 \cdot 1.001})}^{2}) \cdot (\frac{1}{2 \cdot 9.8})) + 1.001

4.9968m = (({(\frac{17.54m³/s}{0.66 \cdot 3m \cdot 1.001m})}^{2}) \cdot (\frac{1}{2 \cdot 9.8m/s²})) + 1.001m

4.9968 = (({(\frac{17.54}{0.66 \cdot 3 \cdot 1.001})}^{2}) \cdot (\frac{1}{2 \cdot 9.8})) + 1.001

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Hydraulics and Waterworks » fx Total Head for Actual Discharge over Broad Crested Weir

Total Head for Actual Discharge over Broad Crested Weir Solution

Follow our step by step solution on how to calculate Total Head for Actual Discharge over Broad Crested Weir?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

H = (({(\frac{17.54m³/s}{0.66 \cdot 3m \cdot 1.001m})}^{2}) \cdot (\frac{1}{2 \cdot 9.8m/s²})) + 1.001m

Next Step Prepare to Evaluate

∴

H = (({(\frac{17.54}{0.66 \cdot 3 \cdot 1.001})}^{2}) \cdot (\frac{1}{2 \cdot 9.8})) + 1.001

Next Step Evaluate

∴

H = 4.99680762434865m

LAST Step Rounding Answer

∴

H = 4.9968m

Total Head for Actual Discharge over Broad Crested Weir 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

Actual Discharge over Broad Crested Weir

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

Symbol: Q_a

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Actual Discharge over Broad Crested Weir

Coefficient of Discharge

The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.

Symbol: C_d

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.2.

Formulas to find Coefficient of Discharge

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

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 above Weir Crest

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

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 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 for Actual Discharge over Broad Crested Weir?

Total Head for Actual Discharge over Broad Crested Weir evaluator uses 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 to evaluate the Total Head, Total Head for Actual Discharge over Broad Crested Weir is defined as the vertical distance between the water level upstream of the weir and the crest of the weir, taking into account factors such as approach velocity, velocity of contraction, and weir crest shape. Total Head is denoted by H symbol.

How to evaluate Total Head for Actual Discharge over Broad Crested Weir using this online evaluator? To use this online evaluator for Total Head for Actual Discharge over Broad Crested Weir, enter Actual Discharge over Broad Crested Weir (Q_a), Coefficient of Discharge (C_d), Length of Weir Crest (L_w), Critical Depth of Weir (h_c) & Acceleration due to Gravity (g) and hit the calculate button.

FAQs on Total Head for Actual Discharge over Broad Crested Weir

What is the formula to find Total Head for Actual Discharge over Broad Crested Weir?

The formula of Total Head for Actual Discharge over Broad Crested Weir is expressed as 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. Here is an example- 3.09585 = (((17.54/(0.66*3*1.001))^2)*(1/(2*9.8)))+1.001.

How to calculate Total Head for Actual Discharge over Broad Crested Weir?

With Actual Discharge over Broad Crested Weir (Q_a), Coefficient of Discharge (C_d), Length of Weir Crest (L_w), Critical Depth of Weir (h_c) & Acceleration due to Gravity (g) we can find Total Head for Actual Discharge over Broad Crested Weir using the formula - 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.

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=((Discharge Over Broad Crested Weir/(Length of Weir Crest*Critical Depth of Weir))^2)*(1/(2*[g]))+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 for Actual Discharge over Broad Crested Weir be negative?

Yes, the Total Head for Actual Discharge over Broad Crested Weir, measured in Length can be negative.

Which unit is used to measure Total Head for Actual Discharge over Broad Crested Weir?

Total Head for Actual Discharge over Broad Crested Weir is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Total Head for Actual Discharge over Broad Crested Weir can be measured.

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Total Head for Actual Discharge over Broad Crested Weir Formula

​GoTotal Head above Weir Crest Formula

​GoTotal Head given Discharge over Weir Crest Formula

Total Head for Actual Discharge over Broad Crested Weir Example

Total Head for Actual Discharge over Broad Crested Weir Solution

Total Head for Actual Discharge over Broad Crested Weir Formula Elements

Other Formulas to find Total Head

Other formulas in Broad Crested Weir category

How to Evaluate Total Head for Actual Discharge over Broad Crested Weir?

FAQs on Total Head for Actual Discharge over Broad Crested Weir

Variable Name

GoTotal Head above Weir Crest Formula

GoTotal Head given Discharge over Weir Crest Formula