FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Head on Upstream Weir for Discharge through Drowned Portion Formula

GoHead on Upstream Weir given Discharge through Free Weir Portion Formula

Fx Copy

LaTeX Copy

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

H_Upstream - Head on Upstream of Weir?Q₂ - Discharge through Drowned Portion?C_d - Coefficient of Discharge?L_w - Length of Weir Crest?h₂ - Head on Downstream of Weir?g - Acceleration due to Gravity?

Head on Upstream Weir for Discharge through Drowned Portion Example

With values

With units

Only example

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

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

Here is how the Head on Upstream Weir for Discharge through Drowned Portion equation looks like.

10.0995 = {(\frac{99.96}{0.66 \cdot 3 \cdot 5.1})}^{2} \cdot (\frac{1}{2 \cdot 9.8}) + 5.1

10.0995m = {(\frac{99.96m³/s}{0.66 \cdot 3m \cdot 5.1m})}^{2} \cdot (\frac{1}{2 \cdot 9.8m/s²}) + 5.1m

10.0995 = {(\frac{99.96}{0.66 \cdot 3 \cdot 5.1})}^{2} \cdot (\frac{1}{2 \cdot 9.8}) + 5.1

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Hydraulics and Waterworks » fx Head on Upstream Weir for Discharge through Drowned Portion

Head on Upstream Weir for Discharge through Drowned Portion Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

H Upstream = {(\frac{99.96m³/s}{0.66 \cdot 3m \cdot 5.1m})}^{2} \cdot (\frac{1}{2 \cdot 9.8m/s²}) + 5.1m

Next Step Prepare to Evaluate

∴

H Upstream = {(\frac{99.96}{0.66 \cdot 3 \cdot 5.1})}^{2} \cdot (\frac{1}{2 \cdot 9.8}) + 5.1

Next Step Evaluate

∴

H Upstream = 10.0994898479747m

LAST Step Rounding Answer

∴

H Upstream = 10.0995m

Head on Upstream Weir for Discharge through Drowned Portion Formula Elements

Variables

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 Drowned Portion

Discharge through Drowned Portion is a measure of the quantity of fluid flow over unit time, representing the quantity of water in between the downstream and the crest of the water.

Symbol: Q₂

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge through Drowned 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

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

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 Head on Upstream of Weir

Go Head on Upstream Weir given Discharge through Free Weir Portion

H Upstream = {(\frac{3 \cdot Q 1}{2 \cdot C d \cdot L w \cdot \sqrt{2 \cdot g}})}^{\frac{2}{3}} + 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 for Discharge through Drowned Portion?

Head on Upstream Weir for Discharge through Drowned Portion evaluator uses 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 to evaluate the Head on Upstream of Weir, The Head on upstream weir for discharge through drowned portion is a measurement of head drop on the upstream weir. Head on Upstream of Weir is denoted by H_Upstream symbol.

How to evaluate Head on Upstream Weir for Discharge through Drowned Portion using this online evaluator? To use this online evaluator for Head on Upstream Weir for Discharge through Drowned Portion, enter Discharge through Drowned Portion (Q₂), Coefficient of Discharge (C_d), Length of Weir Crest (L_w), Head on Downstream of Weir (h₂) & Acceleration due to Gravity (g) and hit the calculate button.

FAQs on Head on Upstream Weir for Discharge through Drowned Portion

What is the formula to find Head on Upstream Weir for Discharge through Drowned Portion?

The formula of Head on Upstream Weir for Discharge through Drowned Portion is expressed as 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. Here is an example- 12.88047 = (99.96/(0.66*3*5.1))^2*(1/(2*9.8))+5.1.

How to calculate Head on Upstream Weir for Discharge through Drowned Portion?

With Discharge through Drowned Portion (Q₂), Coefficient of Discharge (C_d), Length of Weir Crest (L_w), Head on Downstream of Weir (h₂) & Acceleration due to Gravity (g) we can find Head on Upstream Weir for Discharge through Drowned Portion using the formula - 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.

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=((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

Can the Head on Upstream Weir for Discharge through Drowned Portion be negative?

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

Which unit is used to measure Head on Upstream Weir for Discharge through Drowned Portion?

Head on Upstream Weir for Discharge through Drowned 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 for Discharge through Drowned Portion can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Head on Upstream Weir for Discharge through Drowned Portion Formula

​GoHead on Upstream Weir given Discharge through Free Weir Portion Formula

Head on Upstream Weir for Discharge through Drowned Portion Example

Head on Upstream Weir for Discharge through Drowned Portion Solution

Head on Upstream Weir for Discharge through Drowned 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 for Discharge through Drowned Portion?

FAQs on Head on Upstream Weir for Discharge through Drowned Portion

Variable Name

GoHead on Upstream Weir given Discharge through Free Weir Portion Formula