Absolute Velocity of Surge Moving towards Right in Negative Surges 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%
✖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%

✖Absolute Velocity of Issuing Jet is actual velocity of jet used in propeller.ⓘ Absolute Velocity of Surge Moving towards Right in Negative Surges [v_abs]

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Formula

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Absolute Velocity of Surge Moving towards Right in Negative Surges

Formula

`"v"_{"abs"} = "V"_{"1"}+sqrt(("[g]"*"D"_{"2"}*("D"_{"2"}+"h "_{"1"}))/(2*"h "_{"1"}))`

Example

`"18.56104m/s"="5.001m/s"+sqrt(("[g]"*"15m"*("15m"+"10m"))/(2*"10m"))`

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Download Non-uniform Flow in Channels Formula PDF

Absolute Velocity of Surge Moving towards Right in Negative Surges Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
v_abs = V₁+sqrt(([g]*D₂*(D₂+h ₁))/(2*h ₁))
This formula uses 1 Constants, 1 Functions, 4 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

Absolute Velocity of Issuing Jet - (Measured in Meter per Second) - Absolute Velocity of Issuing Jet is actual velocity of jet used in propeller.
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.
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

Velocity of Fluid at 1: 5.001 Meter per Second --> 5.001 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_abs = V₁+sqrt(([g]*D₂*(D₂+h ₁))/(2*h ₁)) --> 5.001+sqrt(([g]*15*(15+10))/(2*10))

Evaluating ... ...

v_abs = 18.5610400994982

STEP 3: Convert Result to Output's Unit

18.5610400994982 Meter per Second --> No Conversion Required

FINAL ANSWER

18.5610400994982 ≈ 18.56104 Meter per Second <-- Absolute Velocity of Issuing Jet

(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 » Absolute Velocity of Surge Moving towards Right in Negative Surges

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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

Absolute Velocity of Surge Moving towards Right in Negative Surges Formula

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))
v_abs = V₁+sqrt(([g]*D₂*(D₂+h ₁))/(2*h ₁))

What is Absolute Velocity?

The concept of absolute velocity is mainly used in turbomachinery design and defines the velocity of a fluid particle in relation to the surrounding, stationary environment. Together with the relative velocity (w) and the circumferential speed (u), it forms the velocity triangle.

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 Absolute Velocity of Surge Moving towards Right in Negative Surges?

Absolute Velocity of Surge Moving towards Right in Negative Surges calculator uses 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)) to calculate the Absolute Velocity of Issuing Jet, The Absolute Velocity of Surge Moving towards Right in Negative Surges formula is defined as the speed of adverse wave propagation rightward. Absolute Velocity of Issuing Jet is denoted by v_abs symbol.

How to calculate Absolute Velocity of Surge Moving towards Right in Negative Surges using this online calculator? To use this online calculator for Absolute Velocity of Surge Moving towards Right in Negative Surges, enter Velocity of Fluid at 1 (V₁), Depth of Point 2 (D₂) & Depth of Point 1 (h ₁) and hit the calculate button. Here is how the Absolute Velocity of Surge Moving towards Right in Negative Surges calculation can be explained with given input values -> 18.76004 = 5.001+sqrt(([g]*15*(15+10))/(2*10)).

FAQ

What is Absolute Velocity of Surge Moving towards Right in Negative Surges?

The Absolute Velocity of Surge Moving towards Right in Negative Surges formula is defined as the speed of adverse wave propagation rightward and is represented as v_abs = V₁+sqrt(([g]*D₂*(D₂+h ₁))/(2*h ₁)) or 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)). Velocity of Fluid at 1 is defined as the velocity of the flowing liquid at a 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 Absolute Velocity of Surge Moving towards Right in Negative Surges?

The Absolute Velocity of Surge Moving towards Right in Negative Surges formula is defined as the speed of adverse wave propagation rightward is calculated using 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)). To calculate Absolute Velocity of Surge Moving towards Right in Negative Surges, you need Velocity of Fluid at 1 (V₁), Depth of Point 2 (D₂) & Depth of Point 1 (h ₁). With our tool, you need to enter the respective value for Velocity of Fluid at 1, 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 Absolute Velocity of Issuing Jet?

In this formula, Absolute Velocity of Issuing Jet uses Velocity of Fluid at 1, Depth of Point 2 & Depth of Point 1. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)

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