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Head over Spillway when Outflow is Considered Formula

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Head over Weir is the stream or river to raise the water level or divert its flow. Check FAQs

H = {(\frac{Qh}{(\frac{2}{3}) \cdot C d \cdot \sqrt{2 \cdot g} \cdot (\frac{L e}{2})})}^{\frac{1}{3}}

H - Head over Weir?Qh - Reservoir Discharge?C_d - Coefficient of Discharge?g - Acceleration due to Gravity?L_e - Effective Length of the Spillway Crest?

Head over Spillway when Outflow is Considered Example

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Here is how the Head over Spillway when Outflow is Considered equation looks like with Values.

Here is how the Head over Spillway when Outflow is Considered equation looks like with Units.

Here is how the Head over Spillway when Outflow is Considered equation looks like.

2.9993 = {(\frac{131.4}{(\frac{2}{3}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot (\frac{5}{2})})}^{\frac{1}{3}}

2.9993m = {(\frac{131.4m³/s}{(\frac{2}{3}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8m/s²} \cdot (\frac{5m}{2})})}^{\frac{1}{3}}

2.9993 = {(\frac{131.4}{(\frac{2}{3}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot (\frac{5}{2})})}^{\frac{1}{3}}

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Engineering Hydrology » fx Head over Spillway when Outflow is Considered

Head over Spillway when Outflow is Considered Solution

Follow our step by step solution on how to calculate Head over Spillway when Outflow is Considered?

FIRST Step Consider the formula

H = {(\frac{Qh}{(\frac{2}{3}) \cdot C d \cdot \sqrt{2 \cdot g} \cdot (\frac{L e}{2})})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

H = {(\frac{131.4m³/s}{(\frac{2}{3}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8m/s²} \cdot (\frac{5m}{2})})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

H = {(\frac{131.4}{(\frac{2}{3}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot (\frac{5}{2})})}^{\frac{1}{3}}

Next Step Evaluate

∴

H = 2.99933435098265m

LAST Step Rounding Answer

∴

H = 2.9993m

Head over Spillway when Outflow is Considered Formula Elements

Variables

Functions

Head over Weir

Head over Weir is the stream or river to raise the water level or divert its flow.

Symbol: H

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Head over Weir

Reservoir Discharge

Reservoir Discharge is the uncontrolled spillway discharge.

Symbol: Qh

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Reservoir Discharge

Coefficient of Discharge

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.

Formulas to find Coefficient of Discharge

Acceleration due to Gravity

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

Effective Length of the Spillway Crest

Effective Length of the Spillway Crest is the length used for the discharge passing over a spillway.

Symbol: L_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Effective Length of the Spillway Crest

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 in Hydrologic Storage Routing category

Go Outflow in Spillway

Qh = (\frac{2}{3}) \cdot C d \cdot \sqrt{2 \cdot g} \cdot L e \cdot \frac{H^{3}}{2}

Go Effective Length of Spillway Crest when Outflow is Considered

L e = \frac{Qh}{(\frac{2}{3}) \cdot C d \cdot \sqrt{2 \cdot g} \cdot \frac{H^{3}}{2}}

Go Coefficient of Discharge when Outflow is Considered

C d = (\frac{Qh}{(\frac{2}{3}) \cdot \sqrt{2 \cdot g} \cdot L e \cdot (\frac{H^{3}}{2})})

How to Evaluate Head over Spillway when Outflow is Considered?

Head over Spillway when Outflow is Considered evaluator uses Head over Weir = (Reservoir Discharge/((2/3)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*(Effective Length of the Spillway Crest/2)))^(1/(3)) to evaluate the Head over Weir, The Head over Spillway when Outflow is Considered formula is defined as the energy in an incompressible fluid to the height of an equivalent static column of that fluid. Head over Weir is denoted by H symbol.

How to evaluate Head over Spillway when Outflow is Considered using this online evaluator? To use this online evaluator for Head over Spillway when Outflow is Considered, enter Reservoir Discharge (Qh), Coefficient of Discharge (C_d), Acceleration due to Gravity (g) & Effective Length of the Spillway Crest (L_e) and hit the calculate button.

FAQs on Head over Spillway when Outflow is Considered

What is the formula to find Head over Spillway when Outflow is Considered?

The formula of Head over Spillway when Outflow is Considered is expressed as Head over Weir = (Reservoir Discharge/((2/3)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*(Effective Length of the Spillway Crest/2)))^(1/(3)). Here is an example- 2.999334 = (131.4/((2/3)*0.66*sqrt(2*9.8)*(5/2)))^(1/(3)).

How to calculate Head over Spillway when Outflow is Considered?

With Reservoir Discharge (Qh), Coefficient of Discharge (C_d), Acceleration due to Gravity (g) & Effective Length of the Spillway Crest (L_e) we can find Head over Spillway when Outflow is Considered using the formula - Head over Weir = (Reservoir Discharge/((2/3)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*(Effective Length of the Spillway Crest/2)))^(1/(3)). This formula also uses Square Root (sqrt) function(s).

Can the Head over Spillway when Outflow is Considered be negative?

No, the Head over Spillway when Outflow is Considered, measured in Length cannot be negative.

Which unit is used to measure Head over Spillway when Outflow is Considered?

Head over Spillway when Outflow is Considered is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Head over Spillway when Outflow is Considered can be measured.

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Head over Spillway when Outflow is Considered Formula

Head over Spillway when Outflow is Considered Example

Head over Spillway when Outflow is Considered Solution

Head over Spillway when Outflow is Considered Formula Elements

Other formulas in Hydrologic Storage Routing category

How to Evaluate Head over Spillway when Outflow is Considered?

FAQs on Head over Spillway when Outflow is Considered

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