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

✖Celerity of Wave is the addition to the normal water velocity of the channels.ⓘ Celerity of Wave [C_w]

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✖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]

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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)

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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

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National Institute of Technology Karnataka (NITK), Surathkal

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< Surge due to Sudden Increase of Flow Calculators

Absolute Velocity of Surge Moving towards Right in Negative Surges

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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))

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

LaTeX Go

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.

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