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)))
Cw = sqrt([g]*h 1*(1+1.5*(Hch/h 1)+0.5*(Hch/h 1)*(Hch/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
Cw = sqrt([g]*h 1*(1+1.5*(Hch/h 1)+0.5*(Hch/h 1)*(Hch/h 1))) --> sqrt([g]*10*(1+1.5*(12.01/10)+0.5*(12.01/10)*(12.01/10)))
Evaluating ... ...
Cw = 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)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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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

Celerity of Wave in Non Uniform Flow Formula

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)))
Cw = sqrt([g]*h 1*(1+1.5*(Hch/h 1)+0.5*(Hch/h 1)*(Hch/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.

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 Cw 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 (Hch) 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 Cw = sqrt([g]*h 1*(1+1.5*(Hch/h 1)+0.5*(Hch/h 1)*(Hch/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 (Hch). 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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