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

STEP 0: Pre-Calculation Summary
Formula Used
Depth of Point 1 = ((Absolute Velocity of Issuing Jet)/(Absolute Velocity of Issuing Jet-Velocity of Fluid at Negative Surges))*Depth of Point 2
h 1 = ((vabs)/(vabs-VNegativesurges))*D2
This formula uses 4 Variables
Variables Used
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.
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 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.
STEP 1: Convert Input(s) to Base Unit
Absolute Velocity of Issuing Jet: 5.002 Meter per Second --> 5.002 Meter per Second No Conversion Required
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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h 1 = ((vabs)/(vabs-VNegativesurges))*D2 --> ((5.002)/(5.002-3))*15
Evaluating ... ...
h 1 = 37.4775224775225
STEP 3: Convert Result to Output's Unit
37.4775224775225 Meter --> No Conversion Required
FINAL ANSWER
37.4775224775225 37.47752 Meter <-- Depth of Point 1
(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

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

​LaTeX ​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
h 1 = ((vabs)/(vabs-VNegativesurges))*D2

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 Surge?

When the velocity of a fluid in a pipe changes, such as when a pumps stops or starts there is a change in the fluid momentum. In accordance with Newton’s second law if there is a change in fluid momentum the fluid must be subject to an external force. In a pipeline this external force is provided by a change in pressure or a pressure transient.
Surge waves are reflected and modified where there are changes in the pipe such as at the ends, changes in pipe diameter, branch connections, valves and other connected equipment such as accumulators which may have been added to control the surge. These surge wave reflections can induce very complex surge flows and pressures in the pipeline.

How to Calculate Depth of Flow using Absolute Velocity of Surge when Flow is Completely Stopped?

Depth of Flow using Absolute Velocity of Surge when Flow is Completely Stopped calculator uses Depth of Point 1 = ((Absolute Velocity of Issuing Jet)/(Absolute Velocity of Issuing Jet-Velocity of Fluid at Negative Surges))*Depth of Point 2 to calculate the Depth of Point 1, The Depth of Flow using Absolute Velocity of Surge when Flow is Completely Stopped is defined as the maximum water level during sudden cessation. Depth of Point 1 is denoted by h 1 symbol.

How to calculate Depth of Flow using Absolute Velocity of Surge when Flow is Completely Stopped using this online calculator? To use this online calculator for Depth of Flow using Absolute Velocity of Surge when Flow is Completely Stopped, enter Absolute Velocity of Issuing Jet (vabs), Velocity of Fluid at Negative Surges (VNegativesurges) & Depth of Point 2 (D2) and hit the calculate button. Here is how the Depth of Flow using Absolute Velocity of Surge when Flow is Completely Stopped calculation can be explained with given input values -> 37.47752 = ((5.002)/(5.002-3))*15.

FAQ

What is Depth of Flow using Absolute Velocity of Surge when Flow is Completely Stopped?
The Depth of Flow using Absolute Velocity of Surge when Flow is Completely Stopped is defined as the maximum water level during sudden cessation and is represented as h 1 = ((vabs)/(vabs-VNegativesurges))*D2 or Depth of Point 1 = ((Absolute Velocity of Issuing Jet)/(Absolute Velocity of Issuing Jet-Velocity of Fluid at Negative Surges))*Depth of Point 2. Absolute Velocity of Issuing Jet is actual velocity of jet used in propeller, 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.
How to calculate Depth of Flow using Absolute Velocity of Surge when Flow is Completely Stopped?
The Depth of Flow using Absolute Velocity of Surge when Flow is Completely Stopped is defined as the maximum water level during sudden cessation is calculated using Depth of Point 1 = ((Absolute Velocity of Issuing Jet)/(Absolute Velocity of Issuing Jet-Velocity of Fluid at Negative Surges))*Depth of Point 2. To calculate Depth of Flow using Absolute Velocity of Surge when Flow is Completely Stopped, you need Absolute Velocity of Issuing Jet (vabs), Velocity of Fluid at Negative Surges (VNegativesurges) & Depth of Point 2 (D2). With our tool, you need to enter the respective value for Absolute Velocity of Issuing Jet, Velocity of Fluid at Negative Surges & Depth of Point 2 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 Depth of Point 1?
In this formula, Depth of Point 1 uses Absolute Velocity of Issuing Jet, Velocity of Fluid at Negative Surges & Depth of Point 2. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • 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
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