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Head if Velocity is considered for 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 W(max)}{1.70 \cdot C d \cdot L w})}^{\frac{2}{3}}

H - Total Head?Q_W(max) - Max Discharge Over Broad Crested Weir?C_d - Coefficient of Discharge?L_w - Length of Weir Crest?

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

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Here is how the Head if Velocity is considered for Discharge over Broad Crested Weir equation looks like with Values.

Here is how the Head if Velocity is considered for Discharge over Broad Crested Weir equation looks like with Units.

Here is how the Head if Velocity is considered for Discharge over Broad Crested Weir equation looks like.

4.9971 = {(\frac{37.6}{1.70 \cdot 0.66 \cdot 3})}^{\frac{2}{3}}

4.9971m = {(\frac{37.6m³/s}{1.70 \cdot 0.66 \cdot 3m})}^{\frac{2}{3}}

4.9971 = {(\frac{37.6}{1.70 \cdot 0.66 \cdot 3})}^{\frac{2}{3}}

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

Follow our step by step solution on how to calculate Head if Velocity is considered for Discharge over Broad Crested Weir?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

H = {(\frac{37.6m³/s}{1.70 \cdot 0.66 \cdot 3m})}^{\frac{2}{3}}

Next Step Prepare to Evaluate

∴

H = {(\frac{37.6}{1.70 \cdot 0.66 \cdot 3})}^{\frac{2}{3}}

Next Step Evaluate

∴

H = 4.99707447612327m

LAST Step Rounding Answer

∴

H = 4.9971m

Head if Velocity is considered for 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

Max Discharge Over Broad Crested Weir

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

Symbol: Q_W(max)

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Max 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

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 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}}

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

Head if Velocity is considered for Discharge over Broad Crested Weir evaluator uses Total Head = (Max Discharge Over Broad Crested Weir/(1.70*Coefficient of Discharge*Length of Weir Crest))^(2/3) to evaluate the Total Head, Head if Velocity is considered for Discharge over Broad Crested Weir is defined as the combination of crested weir head and the additional head. Total Head is denoted by H symbol.

How to evaluate Head if Velocity is considered for Discharge over Broad Crested Weir using this online evaluator? To use this online evaluator for Head if Velocity is considered for Discharge over Broad Crested Weir, enter Max Discharge Over Broad Crested Weir (Q_W(max)), Coefficient of Discharge (C_d) & Length of Weir Crest (L_w) and hit the calculate button.

FAQs on Head if Velocity is considered for Discharge over Broad Crested Weir

What is the formula to find Head if Velocity is considered for Discharge over Broad Crested Weir?

The formula of Head if Velocity is considered for Discharge over Broad Crested Weir is expressed as Total Head = (Max Discharge Over Broad Crested Weir/(1.70*Coefficient of Discharge*Length of Weir Crest))^(2/3). Here is an example- 4.046606 = (37.6/(1.70*0.66*3))^(2/3).

How to calculate Head if Velocity is considered for Discharge over Broad Crested Weir?

With Max Discharge Over Broad Crested Weir (Q_W(max)), Coefficient of Discharge (C_d) & Length of Weir Crest (L_w) we can find Head if Velocity is considered for Discharge over Broad Crested Weir using the formula - Total Head = (Max Discharge Over Broad Crested Weir/(1.70*Coefficient of Discharge*Length of Weir Crest))^(2/3).

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=(((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

Can the Head if Velocity is considered for Discharge over Broad Crested Weir be negative?

Yes, the Head if Velocity is considered for Discharge over Broad Crested Weir, measured in Length can be negative.

Which unit is used to measure Head if Velocity is considered for Discharge over Broad Crested Weir?

Head if Velocity is considered for 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 Head if Velocity is considered for Discharge over Broad Crested Weir can be measured.

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