Celerity of Wave in Non Uniform Flow 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]			+10% -10%
✖Height of Channel is the distance between the lowest and highest points of a person/ shape/ object standing upright.ⓘ Height of Channel [H_ch]			+10% -10%

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

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Celerity of Wave in Non Uniform Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
C_w = sqrt([g]*h ₁*(1+1.5*(H_ch/h ₁)+0.5*(H_ch/h ₁)*(H_ch/h ₁)))
This formula uses 1 Constants, 1 Functions, 3 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.
Height of Channel - (Measured in Meter) - Height of Channel is the distance between the lowest and highest points of a person/ shape/ object standing upright.

STEP 1: Convert Input(s) to Base Unit

Depth of Point 1: 10 Meter --> 10 Meter No Conversion Required
Height of Channel: 12.01 Meter --> 12.01 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_w = sqrt([g]*h ₁*(1+1.5*(H_ch/h ₁)+0.5*(H_ch/h ₁)*(H_ch/h ₁))) --> sqrt([g]*10*(1+1.5*(12.01/10)+0.5*(12.01/10)*(12.01/10)))

Evaluating ... ...

C_w = 18.5865249195015

STEP 3: Convert Result to Output's Unit

18.5865249195015 Meter per Second --> No Conversion Required

FINAL ANSWER

18.5865249195015 ≈ 18.58652 Meter per Second <-- Celerity of Wave

(Calculation completed in 00.020 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 in Non Uniform Flow

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Meerut Institute of Engineering and Technology (MIET), Meerut

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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 in Non Uniform Flow Formula

LaTeX Go

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.

What is a Jet Flow?

A jet is the flow of a fluid that exits a nozzle into an ambient fluid of different velocity. The nozzle is used to increase the pressure which in turn will increase the velocity of the jet. If the surrounding ambient fluid is at rest then the jet is called a free jet.

How to Calculate Celerity of Wave in Non Uniform Flow?

Celerity of Wave in Non Uniform Flow calculator uses 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))) to calculate the Celerity of Wave, The Celerity of Wave in Non Uniform Flow formula is defined as the speed of wave propagation in varying flow conditions. Celerity of Wave is denoted by C_w symbol.

How to calculate Celerity of Wave in Non Uniform Flow using this online calculator? To use this online calculator for Celerity of Wave in Non Uniform Flow, enter Depth of Point 1 (h ₁) & Height of Channel (H_ch) and hit the calculate button. Here is how the Celerity of Wave in Non Uniform Flow calculation can be explained with given input values -> 18.58652 = sqrt([g]*10*(1+1.5*(12.01/10)+0.5*(12.01/10)*(12.01/10))).

FAQ

What is Celerity of Wave in Non Uniform Flow?

The Celerity of Wave in Non Uniform Flow formula is defined as the speed of wave propagation in varying flow conditions and is represented as C_w = sqrt([g]*h ₁*(1+1.5*(H_ch/h ₁)+0.5*(H_ch/h ₁)*(H_ch/h ₁))) or 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))). Depth of Point 1 is the depth of point below the free surface in a static mass of liquid & Height of Channel is the distance between the lowest and highest points of a person/ shape/ object standing upright.

How to calculate Celerity of Wave in Non Uniform Flow?

The Celerity of Wave in Non Uniform Flow formula is defined as the speed of wave propagation in varying flow conditions is calculated using 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))). To calculate Celerity of Wave in Non Uniform Flow, you need Depth of Point 1 (h ₁) & Height of Channel (H_ch). With our tool, you need to enter the respective value for Depth of Point 1 & Height of Channel 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 & Height of Channel. 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)

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