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Total Head for Maximum Discharge 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?

Total Head for Maximum Discharge Example

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Here is how the Total Head for Maximum Discharge equation looks like with Values.

Here is how the Total Head for Maximum Discharge equation looks like with Units.

Here is how the Total Head for Maximum Discharge 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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Total Head for Maximum Discharge Solution

Follow our step by step solution on how to calculate Total Head for Maximum Discharge?

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

Total Head for Maximum Discharge 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 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 Maximum Discharge?

Total Head for Maximum Discharge 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, Total Head for Maximum Discharge is defined as the combination of crested weir head and the additional head of maximum discharge. Total Head is denoted by H symbol.

How to evaluate Total Head for Maximum Discharge using this online evaluator? To use this online evaluator for Total Head for Maximum Discharge, 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 Total Head for Maximum Discharge

What is the formula to find Total Head for Maximum Discharge?

The formula of Total Head for Maximum Discharge 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 Total Head for Maximum Discharge?

With Max Discharge Over Broad Crested Weir (Q_W(max)), Coefficient of Discharge (C_d) & Length of Weir Crest (L_w) we can find Total Head for Maximum Discharge 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 Total Head for Maximum Discharge be negative?

Yes, the Total Head for Maximum Discharge, measured in Length can be negative.

Which unit is used to measure Total Head for Maximum Discharge?

Total Head for Maximum Discharge 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 Maximum Discharge can be measured.

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