Depth of Flow given Celerity of Wave from Lagrange's Celerity Equation Calculator

✖Velocity of Fluid at 2 is defined as the velocity of the flowing liquid at point 1.ⓘ Depth of Flow given Celerity of Wave from Lagrange's Celerity Equation [V₂]

⎘ Copy

👎

Formula

✖

Depth of Flow given Celerity of Wave from Lagrange's Celerity Equation

Formula

`"V"_{"2"} = ("C"_{"w"}/"[g]")^2`

Example

`"0.303212m/s"=("5.4m/s"/"[g]")^2`

Calculator

LaTeX

Reset

👍

Download Non-uniform Flow in Channels Formula PDF

Depth of Flow given Celerity of Wave from Lagrange's Celerity Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity of Fluid at 2 = (Celerity of Wave/[g])^2
V₂ = (C_w/[g])^2
This formula uses 1 Constants, 2 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Velocity of Fluid at 2 - (Measured in Meter per Second) - Velocity of Fluid at 2 is defined as the velocity of the flowing liquid at point 1.
Celerity of Wave - (Measured in Meter per Second) - Celerity of Wave is the addition to the normal water velocity of the channels.

STEP 1: Convert Input(s) to Base Unit

Celerity of Wave: 5.4 Meter per Second --> 5.4 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V₂ = (C_w/[g])^2 --> (5.4/[g])^2

Evaluating ... ...

V₂ = 0.30321184880093

STEP 3: Convert Result to Output's Unit

0.30321184880093 Meter per Second --> No Conversion Required

FINAL ANSWER

0.30321184880093 ≈ 0.303212 Meter per Second <-- Velocity of Fluid at 2

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Non-uniform Flow in Channels » Surges in Open Channel Flow » Surge due to Sudden Increase of Flow » Depth of Flow given Celerity of Wave from Lagrange's Celerity Equation

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 9 Surge due to Sudden Increase of Flow Calculators

Celerity of Wave in Non Uniform Flow

Go Celerity of Wave = sqrt([g]*Depth of Point 1*(1+1.5*(Height of Channel/Depth of Point 1)+0.5*(Height of Channel/Depth of Point 1)*(Height of Channel/Depth of Point 1)))

Heights of Surge given Celerity of Wave

Go Height of Channel = (Velocity of Fluid at 1-Velocity of Fluid at 2)/(((([g]*(Depth of Point 2+Depth of Point 1))/(2*Depth of Point 1))/Celerity of Wave))

Absolute Velocity of Surge Moving towards Right in Negative Surges

Go Absolute Velocity of Issuing Jet = Velocity of Fluid at 1+sqrt(([g]*Depth of Point 2*(Depth of Point 2+Depth of Point 1))/(2*Depth of Point 1))

Absolute Velocity of Surge Moving towards Right

Go Absolute Velocity of Issuing Jet = (Velocity of Fluid at 1*Depth of Point 1-Velocity of Fluid at 2*Depth of Point 2)/(Depth of Point 1-Depth of Point 2)

Depth of Flow given Absolute Velocity of Surge Moving towards Right with Depth

Go Depth of Point 1 = ((Absolute Velocity of Issuing Jet-Velocity of Fluid at 2)/(Absolute Velocity of Issuing Jet-Velocity of Fluid at 1))*Depth of Point 2

Depth of Flow at Point given Absolute Velocity of Surge Moving towards Right

Go Depth of Point 2 = Depth of Point 1/((Absolute Velocity of Issuing Jet-Velocity of Fluid at 2)/(Absolute Velocity of Issuing Jet-Velocity of Fluid at 1))

Celerity of Wave given Two Depths

Go Celerity of Wave = sqrt(([g]*Depth of Point 2*(Depth of Point 2+Depth of Point 1))/(2*Depth of Point 1))

Celerity of Wave from Lagrange's Celerity Equation

Go Celerity of Wave = sqrt([g]*Depth of Point 1)

Depth of Flow given Celerity of Wave from Lagrange's Celerity Equation

Go Velocity of Fluid at 2 = (Celerity of Wave/[g])^2

Depth of Flow given Celerity of Wave from Lagrange's Celerity Equation Formula

Velocity of Fluid at 2 = (Celerity of Wave/[g])^2
V₂ = (C_w/[g])^2

What is Celerity of Wave?

The open channel Surges due to sudden changes of flow depth creates Celerity (Wave Velocity) in the flow in addition to the normal water velocity of the channels. These waves travel in the downstream and sometimes upstream of the channels depending on the various situations.

What is the difference between Velocity and Celerity?

Velocity of a fluid is the variation of its particles' position with time. Celerity is the speed at which a signal (a wave) is transmitted through a medium. Velocity of particles determines flows (fluxes) out of a control volume.

How to Calculate Depth of Flow given Celerity of Wave from Lagrange's Celerity Equation?

Depth of Flow given Celerity of Wave from Lagrange's Celerity Equation calculator uses Velocity of Fluid at 2 = (Celerity of Wave/[g])^2 to calculate the Velocity of Fluid at 2, The Depth of Flow given Celerity of Wave from Lagrange's Celerity Equation formula is defined as amount of water flowing in channel. Velocity of Fluid at 2 is denoted by V₂ symbol.

How to calculate Depth of Flow given Celerity of Wave from Lagrange's Celerity Equation using this online calculator? To use this online calculator for Depth of Flow given Celerity of Wave from Lagrange's Celerity Equation, enter Celerity of Wave (C_w) and hit the calculate button. Here is how the Depth of Flow given Celerity of Wave from Lagrange's Celerity Equation calculation can be explained with given input values -> 0.303212 = (5.4/[g])^2.

FAQ

What is Depth of Flow given Celerity of Wave from Lagrange's Celerity Equation?

The Depth of Flow given Celerity of Wave from Lagrange's Celerity Equation formula is defined as amount of water flowing in channel and is represented as V₂ = (C_w/[g])^2 or Velocity of Fluid at 2 = (Celerity of Wave/[g])^2. Celerity of Wave is the addition to the normal water velocity of the channels.

How to calculate Depth of Flow given Celerity of Wave from Lagrange's Celerity Equation?

The Depth of Flow given Celerity of Wave from Lagrange's Celerity Equation formula is defined as amount of water flowing in channel is calculated using Velocity of Fluid at 2 = (Celerity of Wave/[g])^2. To calculate Depth of Flow given Celerity of Wave from Lagrange's Celerity Equation, you need Celerity of Wave (C_w). With our tool, you need to enter the respective value for Celerity of Wave and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search