Celerity of Wave in Surges Solution

STEP 0: Pre-Calculation Summary
Formula Used
Celerity of Wave = sqrt(([g]*Depth of Point 2*(Depth of Point 2+Depth of Point 1))/(2*Depth of Point 1))
Cw = sqrt(([g]*D2*(D2+h 1))/(2*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 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.
STEP 1: Convert Input(s) to Base Unit
Depth of Point 2: 15 Meter --> 15 Meter No Conversion Required
Depth of Point 1: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Cw = sqrt(([g]*D2*(D2+h 1))/(2*h 1)) --> sqrt(([g]*15*(15+10))/(2*10))
Evaluating ... ...
Cw = 13.5600400994982
STEP 3: Convert Result to Output's Unit
13.5600400994982 Meter per Second --> No Conversion Required
FINAL ANSWER
13.5600400994982 13.56004 Meter per Second <-- Celerity of Wave
(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal
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Surge due to Sudden Reduction of Flow Calculators

Velocity at Depth2 given Absolute Velocity of Surges Moving toward Right
​ LaTeX ​ 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
​ LaTeX ​ 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
Depth of Flow2 given Absolute Velocity of Surge Moving towards Right Direction
​ 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 Negative Surges))
Depth of Flow given Absolute Velocity of Surge Moving towards Right
​ 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 Negative Surges))*Depth of Point 2

Celerity of Wave in Surges Formula

​LaTeX ​Go
Celerity of Wave = sqrt(([g]*Depth of Point 2*(Depth of Point 2+Depth of Point 1))/(2*Depth of Point 1))
Cw = sqrt(([g]*D2*(D2+h 1))/(2*h 1))

What is Celerity of the 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.

How to Calculate Celerity of Wave in Surges?

Celerity of Wave in Surges calculator uses Celerity of Wave = sqrt(([g]*Depth of Point 2*(Depth of Point 2+Depth of Point 1))/(2*Depth of Point 1)) to calculate the Celerity of Wave, The Celerity of Wave in Surges formula is defined as the addition to normal water velocity of channels in open channel flow. Celerity of Wave is denoted by Cw symbol.

How to calculate Celerity of Wave in Surges using this online calculator? To use this online calculator for Celerity of Wave in Surges, enter Depth of Point 2 (D2) & Depth of Point 1 (h 1) and hit the calculate button. Here is how the Celerity of Wave in Surges calculation can be explained with given input values -> 13.56004 = sqrt(([g]*15*(15+10))/(2*10)).

FAQ

What is Celerity of Wave in Surges?
The Celerity of Wave in Surges formula is defined as the addition to normal water velocity of channels in open channel flow and is represented as Cw = sqrt(([g]*D2*(D2+h 1))/(2*h 1)) or Celerity of Wave = sqrt(([g]*Depth of Point 2*(Depth of Point 2+Depth of Point 1))/(2*Depth of 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.
How to calculate Celerity of Wave in Surges?
The Celerity of Wave in Surges formula is defined as the addition to normal water velocity of channels in open channel flow is calculated using Celerity of Wave = sqrt(([g]*Depth of Point 2*(Depth of Point 2+Depth of Point 1))/(2*Depth of Point 1)). To calculate Celerity of Wave in Surges, you need Depth of Point 2 (D2) & Depth of Point 1 (h 1). With our tool, you need to enter the respective value for Depth of Point 2 & 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 2 & Depth of Point 1. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • 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))
  • Celerity of Wave = Height of Channel*[g]/Velocity of Fluid at Negative Surges
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