Celerity of Wave from Lagrange's Celerity Equation Calculator

✖Depth of Point 1 is the depth of point below the free surface in a static mass of liquid.ⓘ Depth of Point 1 [h ₁]

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✖Celerity of Wave is the addition to the normal water velocity of the channels.ⓘ Celerity of Wave from Lagrange's Celerity Equation [C_w]

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Celerity of Wave from Lagrange's Celerity Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Celerity of Wave = sqrt([g]*Depth of Point 1)
C_w = sqrt([g]*h ₁)
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

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

Functions Used

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., sqrt(Number)

Variables Used

Celerity of Wave - (Measured in Meter per Second) - Celerity of Wave is the addition to the normal water velocity of the channels.
Depth of Point 1 - (Measured in Meter) - Depth of Point 1 is the depth of point below the free surface in a static mass of liquid.

STEP 1: Convert Input(s) to Base Unit

Depth of Point 1: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_w = sqrt([g]*h ₁) --> sqrt([g]*10)

Evaluating ... ...

C_w = 9.90285312422637

STEP 3: Convert Result to Output's Unit

9.90285312422637 Meter per Second --> No Conversion Required

FINAL ANSWER

9.90285312422637 ≈ 9.902853 Meter per Second <-- Celerity of Wave

(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 » 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))

Celerity of Wave from Lagrange's Celerity Equation Formula

LaTeX Go

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

What is Non-Uniform Flow?

Flow is said to be non-uniform, when there is a change in velocity of the flow at different points in a flowing fluid, for a given time. For example, the flow of liquids under pressure through long pipelines of varying diameter is referred to as non-uniform flow.

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

Celerity of Wave from Lagrange's Celerity Equation calculator uses Celerity of Wave = sqrt([g]*Depth of Point 1) to calculate the Celerity of Wave, The Celerity of Wave from Lagrange's Celerity Equation formula is defined as sudden changes of flow depth creates Celerity (Wave Velocity) in the flow in addition to the normal water velocity of the channels. Celerity of Wave is denoted by C_w symbol.

How to calculate Celerity of Wave from Lagrange's Celerity Equation using this online calculator? To use this online calculator for Celerity of Wave from Lagrange's Celerity Equation, enter Depth of Point 1 (h ₁) and hit the calculate button. Here is how the Celerity of Wave from Lagrange's Celerity Equation calculation can be explained with given input values -> 9.902853 = sqrt([g]*10).

FAQ

What is Celerity of Wave from Lagrange's Celerity Equation?

The Celerity of Wave from Lagrange's Celerity Equation formula is defined as sudden changes of flow depth creates Celerity (Wave Velocity) in the flow in addition to the normal water velocity of the channels and is represented as C_w = sqrt([g]*h ₁) or Celerity of Wave = sqrt([g]*Depth of Point 1). Depth of Point 1 is the depth of point below the free surface in a static mass of liquid.

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

The Celerity of Wave from Lagrange's Celerity Equation formula is defined as sudden changes of flow depth creates Celerity (Wave Velocity) in the flow in addition to the normal water velocity of the channels is calculated using Celerity of Wave = sqrt([g]*Depth of Point 1). To calculate Celerity of Wave from Lagrange's Celerity Equation, you need Depth of Point 1 (h ₁). With our tool, you need to enter the respective value for Depth of Point 1 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Celerity of Wave?

In this formula, Celerity of Wave uses Depth of Point 1. We can use 2 other way(s) to calculate the same, which is/are as follows -

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 = 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)))

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