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

✖Absolute Velocity of Issuing Jet is actual velocity of jet used in propeller.ⓘ Absolute Velocity of Issuing Jet [v_abs]			+10% -10%
✖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 Flow using Absolute Velocity of Surge when Flow is Completely Stopped [h ₁]

⎘ Copy

👎

Formula

✖

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

Formula

`"h "_{"1"} = (("v"_{"abs"})/("v"_{"abs"}-"V"_{"Negativesurges"}))*"D"_{"2"}`

Example

`"37.47752m"=(("5.002m/s")/("5.002m/s"-"3m/s"))*"15m"`

Calculator

LaTeX

Reset

👍

Download Non-uniform Flow in Channels Formula PDF

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 = ((v_abs)/(v_abs-V_{Negativesurges}))*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 = ((v_abs)/(v_abs-V_{Negativesurges}))*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)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Non-uniform Flow in Channels » Surges in Open Channel Flow » Surge due to Sudden Reduction of Flow » Depth of Flow using Absolute Velocity of Surge when Flow is Completely Stopped

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has verified this Calculator and 900+ more calculators!

< 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

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

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 = ((v_abs)/(v_abs-V_{Negativesurges}))*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 (v_abs), Velocity of Fluid at Negative Surges (V_{Negativesurges}) & 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 = ((v_abs)/(v_abs-V_{Negativesurges}))*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 (v_abs), Velocity of Fluid at Negative Surges (V_{Negativesurges}) & 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

Home

FREE PDFs

🔍 Search