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Head on Upstream Weir given Discharge through Free Weir Portion Formula

GoHead on Upstream Weir for Discharge through Drowned Portion Formula

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Head on Upstream of Weirr pertains to the energy status of water in water flow systems and is useful for describing flow in hydraulic structures. Check FAQs

H Upstream = {(\frac{3 \cdot Q 1}{2 \cdot C d \cdot L w \cdot \sqrt{2 \cdot g}})}^{\frac{2}{3}} + h 2

H_Upstream - Head on Upstream of Weir?Q₁ - Discharge through Free Portion?C_d - Coefficient of Discharge?L_w - Length of Weir Crest?g - Acceleration due to Gravity?h₂ - Head on Downstream of Weir?

Head on Upstream Weir given Discharge through Free Weir Portion Example

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Here is how the Head on Upstream Weir given Discharge through Free Weir Portion equation looks like with Values.

Here is how the Head on Upstream Weir given Discharge through Free Weir Portion equation looks like with Units.

Here is how the Head on Upstream Weir given Discharge through Free Weir Portion equation looks like.

9.2888 = {(\frac{3 \cdot 50.1}{2 \cdot 0.66 \cdot 3 \cdot \sqrt{2 \cdot 9.8}})}^{\frac{2}{3}} + 5.1

9.2888m = {(\frac{3 \cdot 50.1m³/s}{2 \cdot 0.66 \cdot 3m \cdot \sqrt{2 \cdot 9.8m/s²}})}^{\frac{2}{3}} + 5.1m

9.2888 = {(\frac{3 \cdot 50.1}{2 \cdot 0.66 \cdot 3 \cdot \sqrt{2 \cdot 9.8}})}^{\frac{2}{3}} + 5.1

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Head on Upstream Weir given Discharge through Free Weir Portion Solution

Follow our step by step solution on how to calculate Head on Upstream Weir given Discharge through Free Weir Portion?

FIRST Step Consider the formula

H Upstream = {(\frac{3 \cdot Q 1}{2 \cdot C d \cdot L w \cdot \sqrt{2 \cdot g}})}^{\frac{2}{3}} + h 2

Next Step Substitute values of Variables

∴

H Upstream = {(\frac{3 \cdot 50.1m³/s}{2 \cdot 0.66 \cdot 3m \cdot \sqrt{2 \cdot 9.8m/s²}})}^{\frac{2}{3}} + 5.1m

Next Step Prepare to Evaluate

∴

H Upstream = {(\frac{3 \cdot 50.1}{2 \cdot 0.66 \cdot 3 \cdot \sqrt{2 \cdot 9.8}})}^{\frac{2}{3}} + 5.1

Next Step Evaluate

∴

H Upstream = 9.28880849845309m

LAST Step Rounding Answer

∴

H Upstream = 9.2888m

Head on Upstream Weir given Discharge through Free Weir Portion Formula Elements

Variables

Functions

Head on Upstream of Weir

Head on Upstream of Weirr pertains to the energy status of water in water flow systems and is useful for describing flow in hydraulic structures.

Symbol: H_Upstream

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Head on Upstream of Weir

Discharge through Free Portion

Discharge through Free Portion is a measure of the quantity of fluid flow over unit time, representing the quantity in between the upstream and downstream portion.

Symbol: Q₁

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge through Free Portion

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

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

Head on Downstream of Weir

Head on Downstream of Weir pertains to the energy status of water in water flow systems and is useful for describing flow in hydraulic structures.

Symbol: h₂

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Head on Downstream of Weir

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Head on Upstream of Weir

Go Head on Upstream Weir for Discharge through Drowned Portion

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

Other formulas in Submerged Weirs category

Go Discharge through Free Weir Portion

Q 1 = (\frac{2}{3}) \cdot C d \cdot L w \cdot \sqrt{2 \cdot g} \cdot {(H Upstream - h 2)}^{\frac{3}{2}}

Go Coefficient of Discharge given Discharge through Free Weir Portion

C d = \frac{3 \cdot Q 1}{2 \cdot L w \cdot \sqrt{2 \cdot g} \cdot {(H Upstream - h 2)}^{\frac{3}{2}}}

Go Length of Crest for Discharge through Free Weir Portion

L w = \frac{3 \cdot Q 1}{2 \cdot C d \cdot \sqrt{2 \cdot g} \cdot {(H Upstream - h 2)}^{\frac{3}{2}}}

Go Head on Downstream Weir for Discharge through Free Weir Portion

h 2 = - {(\frac{3 \cdot Q 1}{2 \cdot C d \cdot L w \cdot \sqrt{2 \cdot g}})}^{\frac{2}{3}} + H Upstream

How to Evaluate Head on Upstream Weir given Discharge through Free Weir Portion?

Head on Upstream Weir given Discharge through Free Weir Portion evaluator uses Head on Upstream of Weir = ((3*Discharge through Free Portion)/(2*Coefficient of Discharge*Length of Weir Crest*sqrt(2*Acceleration due to Gravity)))^(2/3)+Head on Downstream of Weir to evaluate the Head on Upstream of Weir, Head on upstream weir given discharge through free weir portion is measurement of head drop in weir in free weir portion. Head on Upstream of Weir is denoted by H_Upstream symbol.

How to evaluate Head on Upstream Weir given Discharge through Free Weir Portion using this online evaluator? To use this online evaluator for Head on Upstream Weir given Discharge through Free Weir Portion, enter Discharge through Free Portion (Q₁), Coefficient of Discharge (C_d), Length of Weir Crest (L_w), Acceleration due to Gravity (g) & Head on Downstream of Weir (h₂) and hit the calculate button.

FAQs on Head on Upstream Weir given Discharge through Free Weir Portion

What is the formula to find Head on Upstream Weir given Discharge through Free Weir Portion?

The formula of Head on Upstream Weir given Discharge through Free Weir Portion is expressed as Head on Upstream of Weir = ((3*Discharge through Free Portion)/(2*Coefficient of Discharge*Length of Weir Crest*sqrt(2*Acceleration due to Gravity)))^(2/3)+Head on Downstream of Weir. Here is an example- 9.288808 = ((3*50.1)/(2*0.66*3*sqrt(2*9.8)))^(2/3)+5.1.

How to calculate Head on Upstream Weir given Discharge through Free Weir Portion?

With Discharge through Free Portion (Q₁), Coefficient of Discharge (C_d), Length of Weir Crest (L_w), Acceleration due to Gravity (g) & Head on Downstream of Weir (h₂) we can find Head on Upstream Weir given Discharge through Free Weir Portion using the formula - Head on Upstream of Weir = ((3*Discharge through Free Portion)/(2*Coefficient of Discharge*Length of Weir Crest*sqrt(2*Acceleration due to Gravity)))^(2/3)+Head on Downstream of Weir. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Head on Upstream of Weir?

Here are the different ways to Calculate Head on Upstream of Weir-

Head on Upstream of Weir=(Discharge through Drowned Portion/(Coefficient of Discharge*Length of Weir Crest*Head on Downstream of Weir))^2*(1/(2*Acceleration due to Gravity))+Head on Downstream of Weir

Can the Head on Upstream Weir given Discharge through Free Weir Portion be negative?

Yes, the Head on Upstream Weir given Discharge through Free Weir Portion, measured in Length can be negative.

Which unit is used to measure Head on Upstream Weir given Discharge through Free Weir Portion?

Head on Upstream Weir given Discharge through Free Weir Portion is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Head on Upstream Weir given Discharge through Free Weir Portion can be measured.

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Head on Upstream Weir given Discharge through Free Weir Portion Formula

​GoHead on Upstream Weir for Discharge through Drowned Portion Formula

Head on Upstream Weir given Discharge through Free Weir Portion Example

Head on Upstream Weir given Discharge through Free Weir Portion Solution

Head on Upstream Weir given Discharge through Free Weir Portion Formula Elements

Other Formulas to find Head on Upstream of Weir

Other formulas in Submerged Weirs category

How to Evaluate Head on Upstream Weir given Discharge through Free Weir Portion?

FAQs on Head on Upstream Weir given Discharge through Free Weir Portion

Variable Name

GoHead on Upstream Weir for Discharge through Drowned Portion Formula