Celerity of Wave given Velocity at Depth1 Calculator

✖Velocity of Fluid at Negative Surges is defined as the velocity of the flowing liquid at a Negative Surges.ⓘ Velocity of Fluid at Negative Surges [V_{Negativesurges}]			+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%
✖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 given Velocity at Depth1 [C_w]

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Celerity of Wave given Velocity at Depth1

Formula

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

Example

`"2.93923m/s"=("3m/s")/(((("[g]"*("15m"+"10m"))/(2*"10m"))/"12.01m"))`

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Celerity of Wave given Velocity at Depth1 Solution

STEP 0: Pre-Calculation Summary

Formula Used

Celerity of Wave = (Velocity of Fluid at Negative Surges)/(((([g]*(Depth of Point 2+Depth of Point 1))/(2*Depth of Point 1))/Height of Channel))
C_w = (V_{Negativesurges})/(((([g]*(D₂+h ₁))/(2*h ₁))/H_ch))
This formula uses 1 Constants, 5 Variables

Constants Used

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

Variables Used

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

Velocity of Fluid at Negative Surges: 3 Meter per Second --> 3 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
Height of Channel: 12.01 Meter --> 12.01 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_w = (V_{Negativesurges})/(((([g]*(D₂+h ₁))/(2*h ₁))/H_ch)) --> (3)/(((([g]*(15+10))/(2*10))/12.01))

Evaluating ... ...

C_w = 2.93923001228758

STEP 3: Convert Result to Output's Unit

2.93923001228758 Meter per Second --> No Conversion Required

FINAL ANSWER

2.93923001228758 ≈ 2.93923 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 Reduction of Flow » Celerity of Wave given Velocity at Depth1

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< 12 Surge due to Sudden Reduction of Flow Calculators

Velocity at Depth2 given Absolute Velocity of Surges Moving toward Right

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

Velocity at Depth1 given Absolute Velocity of Surge Moving toward Right

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

Celerity of Wave given Velocity at Depth1

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

Height of Surges given Celerity of Wave

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

Depth of Flow2 given Absolute Velocity of Surge Moving towards Right Direction

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 Negative Surges))

Depth of Flow given Absolute Velocity of Surge Moving towards Right

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

Celerity of Wave in Surges

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

Depth of Flow using Absolute Velocity of Surge when Flow is Completely Stopped

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

Depth of Flow2 when Absolute Velocity of Surge when Flow is Completely Stopped

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

Velocity at Depth1 when Absolute Velocity of Surge when Flow is Completely Stopped

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

Velocity at Depth1 when Height of Surge for Surge Height is Negligible Depth of Flow

Go Velocity of Fluid at Negative Surges = (Height of Channel*[g]/Celerity of Wave)+Velocity of Fluid at 2

Celerity of Wave given Surge Height for Surge Height is Negligible Depth of Flow

Go Celerity of Wave = Height of Channel*[g]/Velocity of Fluid at Negative Surges

Celerity of Wave given Velocity at Depth1 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.

How to Calculate Celerity of Wave given Velocity at Depth1?

Celerity of Wave given Velocity at Depth1 calculator uses Celerity of Wave = (Velocity of Fluid at Negative Surges)/(((([g]*(Depth of Point 2+Depth of Point 1))/(2*Depth of Point 1))/Height of Channel)) to calculate the Celerity of Wave, The Celerity of Wave given Velocity at Depth1 formula is defined as the height of flow change occurring in channel. Celerity of Wave is denoted by C_w symbol.

How to calculate Celerity of Wave given Velocity at Depth1 using this online calculator? To use this online calculator for Celerity of Wave given Velocity at Depth1, enter Velocity of Fluid at Negative Surges (V_{Negativesurges}), Depth of Point 2 (D₂), Depth of Point 1 (h ₁) & Height of Channel (H_ch) and hit the calculate button. Here is how the Celerity of Wave given Velocity at Depth1 calculation can be explained with given input values -> 2.93923 = (3)/(((([g]*(15+10))/(2*10))/12.01)).

FAQ

What is Celerity of Wave given Velocity at Depth1?

The Celerity of Wave given Velocity at Depth1 formula is defined as the height of flow change occurring in channel and is represented as C_w = (V_{Negativesurges})/(((([g]*(D₂+h ₁))/(2*h ₁))/H_ch)) or Celerity of Wave = (Velocity of Fluid at Negative Surges)/(((([g]*(Depth of Point 2+Depth of Point 1))/(2*Depth of Point 1))/Height of Channel)). Velocity of Fluid at Negative Surges is defined as the velocity of the flowing liquid at a Negative Surges, 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 & 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 given Velocity at Depth1?

The Celerity of Wave given Velocity at Depth1 formula is defined as the height of flow change occurring in channel is calculated using Celerity of Wave = (Velocity of Fluid at Negative Surges)/(((([g]*(Depth of Point 2+Depth of Point 1))/(2*Depth of Point 1))/Height of Channel)). To calculate Celerity of Wave given Velocity at Depth1, you need Velocity of Fluid at Negative Surges (V_{Negativesurges}), Depth of Point 2 (D₂), Depth of Point 1 (h ₁) & Height of Channel (H_ch). With our tool, you need to enter the respective value for Velocity of Fluid at Negative Surges, Depth of Point 2, 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 Velocity of Fluid at Negative Surges, Depth of Point 2, 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 = Height of Channel*[g]/Velocity of Fluid at Negative Surges

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