FormulaDen.com

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

Length of Weir Considering Francis's formula Formula

GoLength of Section for Discharge over Rectangle Notch or Weir Formula

GoLength of Crest of Weir or Notch Formula

Fx Copy

LaTeX Copy

The Length of Weir is the of the base of weir through which discharge is taking place. Check FAQs

L w = \frac{Q}{1.84 \cdot ({(H i + h a)}^{\frac{3}{2}} - {h a}^{\frac{3}{2}})}

L_w - Length of Weir?Q - Discharge Weir?H_i - Initial Height of Liquid?h_a - Head Due to Velocity of Approach?

Length of Weir Considering Francis's formula Example

With values

With units

Only example

Here is how the Length of Weir Considering Francis's formula equation looks like with Values.

Here is how the Length of Weir Considering Francis's formula equation looks like with Units.

Here is how the Length of Weir Considering Francis's formula equation looks like.

0.0085 = \frac{40}{1.84 \cdot ({(186.1 + 1.2)}^{\frac{3}{2}} - {1.2}^{\frac{3}{2}})}

0.0085m = \frac{40m³/s}{1.84 \cdot ({(186.1m + 1.2m)}^{\frac{3}{2}} - {1.2m}^{\frac{3}{2}})}

0.0085 = \frac{40}{1.84 \cdot ({(186.1 + 1.2)}^{\frac{3}{2}} - {1.2}^{\frac{3}{2}})}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Fluid Mechanics » fx Length of Weir Considering Francis's formula

Length of Weir Considering Francis's formula Solution

Follow our step by step solution on how to calculate Length of Weir Considering Francis's formula?

FIRST Step Consider the formula

L w = \frac{Q}{1.84 \cdot ({(H i + h a)}^{\frac{3}{2}} - {h a}^{\frac{3}{2}})}

Next Step Substitute values of Variables

∴

L w = \frac{40m³/s}{1.84 \cdot ({(186.1m + 1.2m)}^{\frac{3}{2}} - {1.2m}^{\frac{3}{2}})}

Next Step Prepare to Evaluate

∴

L w = \frac{40}{1.84 \cdot ({(186.1 + 1.2)}^{\frac{3}{2}} - {1.2}^{\frac{3}{2}})}

Next Step Evaluate

∴

L w = 0.0084851255827039m

LAST Step Rounding Answer

∴

L w = 0.0085m

Length of Weir Considering Francis's formula Formula Elements

Variables

Length of Weir

The Length of Weir is the of the base of weir through which discharge is taking place.

Symbol: L_w

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Weir

Discharge Weir

Discharge Weir is the rate of flow of a liquid.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge Weir

Initial Height of Liquid

The Initial height of liquid is a variable from the tank emptying through an orifice at its bottom.

Symbol: H_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Initial Height of Liquid

Head Due to Velocity of Approach

The Head due to Velocity of Approach is considered as the elevation difference between the two circled points on the surface of the approach flow.

Symbol: h_a

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Head Due to Velocity of Approach

Other Formulas to find Length of Weir

Go Length of Section for Discharge over Rectangle Notch or Weir

L w = \frac{Q th}{\frac{2}{3} \cdot C d \cdot \sqrt{2 \cdot [g]} \cdot {l a}^{\frac{3}{2}}}

Go Length of Crest of Weir or Notch

L w = \frac{3 \cdot A}{C d \cdot t a \cdot \sqrt{2 \cdot [g]}} \cdot (\frac{1}{\sqrt{H f}} - \frac{1}{\sqrt{H i}})

Go Length of Weir or Notch for Velocity of Approach

L w = \frac{Q}{\frac{2}{3} \cdot C d \cdot \sqrt{2 \cdot [g]} \cdot ({(H i + H f)}^{\frac{3}{2}} - {H f}^{\frac{3}{2}})}

Go Length of Weir or Notch without Velocity of Approach

L w = \frac{Q}{\frac{2}{3} \cdot C d \cdot \sqrt{2 \cdot [g]} \cdot {H i}^{\frac{3}{2}}}

Other formulas in Geometric DImension category

Go Length of Weir Considering Bazin's formula without Velocity of Approach

L n = \frac{Q}{0.405 + \frac{0.003}{l a}} \cdot \sqrt{2 \cdot [g]} \cdot {l a}^{\frac{3}{2}}

Go Length of Weir Considering Bazin's formula with Velocity of Approach

L n = \frac{Q}{0.405 + \frac{0.003}{l a + h a}} \cdot \sqrt{2 \cdot [g]} \cdot {(l a + h a)}^{\frac{3}{2}}

How to Evaluate Length of Weir Considering Francis's formula?

Length of Weir Considering Francis's formula evaluator uses Length of Weir = Discharge Weir/(1.84*((Initial Height of Liquid+Head Due to Velocity of Approach)^(3/2)-Head Due to Velocity of Approach^(3/2))) to evaluate the Length of Weir, Length of Weir Considering Francis's formula refers to the horizontal distance along the crest of the weir. It is an important parameter in calculating the discharge over a weir. Length of Weir is denoted by L_w symbol.

How to evaluate Length of Weir Considering Francis's formula using this online evaluator? To use this online evaluator for Length of Weir Considering Francis's formula, enter Discharge Weir (Q), Initial Height of Liquid (H_i) & Head Due to Velocity of Approach (h_a) and hit the calculate button.

FAQs on Length of Weir Considering Francis's formula

What is the formula to find Length of Weir Considering Francis's formula?

The formula of Length of Weir Considering Francis's formula is expressed as Length of Weir = Discharge Weir/(1.84*((Initial Height of Liquid+Head Due to Velocity of Approach)^(3/2)-Head Due to Velocity of Approach^(3/2))). Here is an example- 0.008485 = 40/(1.84*((186.1+1.2)^(3/2)-1.2^(3/2))).

How to calculate Length of Weir Considering Francis's formula?

With Discharge Weir (Q), Initial Height of Liquid (H_i) & Head Due to Velocity of Approach (h_a) we can find Length of Weir Considering Francis's formula using the formula - Length of Weir = Discharge Weir/(1.84*((Initial Height of Liquid+Head Due to Velocity of Approach)^(3/2)-Head Due to Velocity of Approach^(3/2))).

What are the other ways to Calculate Length of Weir?

Here are the different ways to Calculate Length of Weir-

Length of Weir=Theoretical Discharge/(2/3*Coefficient of Discharge*sqrt(2*[g])*Arc Length of Circle^(3/2))
Length of Weir=(3*Area of Weir)/(Coefficient of Discharge*Total Time Taken*sqrt(2*[g]))*(1/sqrt(Final Height of Liquid)-1/sqrt(Initial Height of Liquid))
Length of Weir=Discharge Weir/(2/3*Coefficient of Discharge*sqrt(2*[g])*((Initial Height of Liquid+Final Height of Liquid)^(3/2)-Final Height of Liquid^(3/2)))

Can the Length of Weir Considering Francis's formula be negative?

Yes, the Length of Weir Considering Francis's formula, measured in Length can be negative.

Which unit is used to measure Length of Weir Considering Francis's formula?

Length of Weir Considering Francis's formula is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Weir Considering Francis's formula can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Length of Weir Considering Francis's formula Formula

​GoLength of Section for Discharge over Rectangle Notch or Weir Formula

​GoLength of Crest of Weir or Notch Formula

Length of Weir Considering Francis's formula Example

Length of Weir Considering Francis's formula Solution

Length of Weir Considering Francis's formula Formula Elements

Other Formulas to find Length of Weir

Other formulas in Geometric DImension category

How to Evaluate Length of Weir Considering Francis's formula?

FAQs on Length of Weir Considering Francis's formula

Variable Name

GoLength of Section for Discharge over Rectangle Notch or Weir Formula

GoLength of Crest of Weir or Notch Formula