FormulaDen.com

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

Head on Downstream Weir for Discharge through Free Weir Portion Formula

Fx Copy

LaTeX Copy

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. Check FAQs

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

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

Head on Downstream Weir for Discharge through Free Weir Portion Example

With values

With units

Only example

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

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

Here is how the Head on Downstream Weir for Discharge through Free Weir Portion equation looks like.

5.9112 = - {(\frac{3 \cdot 50.1}{2 \cdot 0.66 \cdot 3 \cdot \sqrt{2 \cdot 9.8}})}^{\frac{2}{3}} + 10.1

5.9112m = - {(\frac{3 \cdot 50.1m³/s}{2 \cdot 0.66 \cdot 3m \cdot \sqrt{2 \cdot 9.8m/s²}})}^{\frac{2}{3}} + 10.1m

5.9112 = - {(\frac{3 \cdot 50.1}{2 \cdot 0.66 \cdot 3 \cdot \sqrt{2 \cdot 9.8}})}^{\frac{2}{3}} + 10.1

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 Downstream Weir for Discharge through Free Weir Portion

Head on Downstream Weir for Discharge through Free Weir Portion Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h 2 = - {(\frac{3 \cdot 50.1m³/s}{2 \cdot 0.66 \cdot 3m \cdot \sqrt{2 \cdot 9.8m/s²}})}^{\frac{2}{3}} + 10.1m

Next Step Prepare to Evaluate

∴

h 2 = - {(\frac{3 \cdot 50.1}{2 \cdot 0.66 \cdot 3 \cdot \sqrt{2 \cdot 9.8}})}^{\frac{2}{3}} + 10.1

Next Step Evaluate

∴

h 2 = 5.9111915015469m

LAST Step Rounding Answer

∴

h 2 = 5.9112m

Head on Downstream Weir for Discharge through Free Weir Portion Formula Elements

Variables

Functions

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

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 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

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 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 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

How to Evaluate Head on Downstream Weir for Discharge through Free Weir Portion?

Head on Downstream Weir for Discharge through Free Weir Portion evaluator uses Head on Downstream 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 Upstream of Weir to evaluate the Head on Downstream of Weir, The Head on downstream weir for discharge through free weir portion is a measurement of head drop in the weir in a free weir portion. Head on Downstream of Weir is denoted by h₂ symbol.

How to evaluate Head on Downstream Weir for Discharge through Free Weir Portion using this online evaluator? To use this online evaluator for Head on Downstream Weir for 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 Upstream of Weir (H_Upstream) and hit the calculate button.

FAQs on Head on Downstream Weir for Discharge through Free Weir Portion

What is the formula to find Head on Downstream Weir for Discharge through Free Weir Portion?

The formula of Head on Downstream Weir for Discharge through Free Weir Portion is expressed as Head on Downstream 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 Upstream of Weir. Here is an example- 5.911192 = -((3*50.1)/(2*0.66*3*sqrt(2*9.8)))^(2/3)+10.1.

How to calculate Head on Downstream Weir for 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 Upstream of Weir (H_Upstream) we can find Head on Downstream Weir for Discharge through Free Weir Portion using the formula - Head on Downstream 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 Upstream of Weir. This formula also uses Square Root (sqrt) function(s).

Can the Head on Downstream Weir for Discharge through Free Weir Portion be negative?

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

Which unit is used to measure Head on Downstream Weir for Discharge through Free Weir Portion?

Head on Downstream Weir for 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 Downstream Weir for Discharge through Free Weir Portion can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Head on Downstream Weir for Discharge through Free Weir Portion Formula

Head on Downstream Weir for Discharge through Free Weir Portion Example

Head on Downstream Weir for Discharge through Free Weir Portion Solution

Head on Downstream Weir for Discharge through Free Weir Portion Formula Elements

Other formulas in Submerged Weirs category

How to Evaluate Head on Downstream Weir for Discharge through Free Weir Portion?

FAQs on Head on Downstream Weir for Discharge through Free Weir Portion

Variable Name