Heights of Surge given Celerity of Wave Calculator

✖Velocity of Fluid at 1 is defined as the velocity of the flowing liquid at a point 1.ⓘ Velocity of Fluid at 1 [V₁]			+10% -10%
✖Velocity of Fluid at 2 is defined as the velocity of the flowing liquid at point 1.ⓘ Velocity of Fluid at 2 [V₂]			+10% -10%
✖Depth of Point 2 is the depth of point below the free surface in a static mass of liquid.ⓘ Depth of Point 2 [D₂]			+10% -10%
✖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%
✖Celerity of Wave is the addition to the normal water velocity of the channels.ⓘ Celerity of Wave [C_w]			+10% -10%

✖Height of Channel is the distance between the lowest and highest points of a person/ shape/ object standing upright.ⓘ Heights of Surge given Celerity of Wave [H_ch]

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Formula

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Heights of Surge given Celerity of Wave

Formula

`"H"_{"ch"} = ("V"_{"1"}-"V"_{"2"})/(((("[g]"*("D"_{"2"}+"h "_{"1"}))/(2*"h "_{"1"}))/"C"_{"w"}))`

Example

`"0.000441m"=("5.001m/s"-"5m/s")/(((("[g]"*("15m"+"10m"))/(2*"10m"))/"5.4m/s"))`

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Heights of Surge given Celerity of Wave Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
H_ch = (V₁-V₂)/(((([g]*(D₂+h ₁))/(2*h ₁))/C_w))
This formula uses 1 Constants, 6 Variables

Constants Used

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

Variables Used

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.
Velocity of Fluid at 1 - (Measured in Meter per Second) - Velocity of Fluid at 1 is defined as the velocity of the flowing liquid at a point 1.
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.
Depth of Point 2 - (Measured in Meter) - Depth of Point 2 is the depth of point below the free surface in a static mass of liquid.
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.
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

Velocity of Fluid at 1: 5.001 Meter per Second --> 5.001 Meter per Second No Conversion Required
Velocity of Fluid at 2: 5 Meter per Second --> 5 Meter per Second No Conversion Required
Depth of Point 2: 15 Meter --> 15 Meter No Conversion Required
Depth of Point 1: 10 Meter --> 10 Meter No Conversion Required
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

H_ch = (V₁-V₂)/(((([g]*(D₂+h ₁))/(2*h ₁))/C_w)) --> (5.001-5)/(((([g]*(15+10))/(2*10))/5.4))

Evaluating ... ...

H_ch = 0.000440517404006612

STEP 3: Convert Result to Output's Unit

0.000440517404006612 Meter --> No Conversion Required

FINAL ANSWER

0.000440517404006612 ≈ 0.000441 Meter <-- Height of Channel

(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 » Heights of Surge given Celerity of Wave

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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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< 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

Heights of Surge given Celerity of Wave Formula

What are Surges?

Surges, or transients, are brief overvoltage spikes or disturbances on a power waveform that can damage, degrade, or destroy electronic equipment within any home, commercial building, industrial, or manufacturing facility. Transients can reach amplitudes of tens of thousands of volts.

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 Heights of Surge given Celerity of Wave?

Heights of Surge given Celerity of Wave calculator uses 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)) to calculate the Height of Channel, The Heights of Surge given Celerity of Wave is defined as the height of flow change occurring in channel. Height of Channel is denoted by H_ch symbol.

How to calculate Heights of Surge given Celerity of Wave using this online calculator? To use this online calculator for Heights of Surge given Celerity of Wave, enter Velocity of Fluid at 1 (V₁), Velocity of Fluid at 2 (V₂), Depth of Point 2 (D₂), Depth of Point 1 (h ₁) & Celerity of Wave (C_w) and hit the calculate button. Here is how the Heights of Surge given Celerity of Wave calculation can be explained with given input values -> 0.088103 = (5.001-5)/(((([g]*(15+10))/(2*10))/5.4)).

FAQ

What is Heights of Surge given Celerity of Wave?

The Heights of Surge given Celerity of Wave is defined as the height of flow change occurring in channel and is represented as H_ch = (V₁-V₂)/(((([g]*(D₂+h ₁))/(2*h ₁))/C_w)) or 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)). Velocity of Fluid at 1 is defined as the velocity of the flowing liquid at a point 1, Velocity of Fluid at 2 is defined as the velocity of the flowing liquid at point 1, Depth of Point 2 is the depth of point below the free surface in a static mass of liquid, Depth of Point 1 is the depth of point below the free surface in a static mass of liquid & Celerity of Wave is the addition to the normal water velocity of the channels.

How to calculate Heights of Surge given Celerity of Wave?

The Heights of Surge given Celerity of Wave is defined as the height of flow change occurring in channel is calculated using 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)). To calculate Heights of Surge given Celerity of Wave, you need Velocity of Fluid at 1 (V₁), Velocity of Fluid at 2 (V₂), Depth of Point 2 (D₂), Depth of Point 1 (h ₁) & Celerity of Wave (C_w). With our tool, you need to enter the respective value for Velocity of Fluid at 1, Velocity of Fluid at 2, Depth of Point 2, Depth of Point 1 & 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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