Depth of Flow at Point given Absolute Velocity of Surge Moving towards Right Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
D2 = h 1/((vabs-V2)/(vabs-V1))
This formula uses 5 Variables
Variables Used
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.
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 2 - (Measured in Meter per Second) - Velocity of Fluid at 2 is defined as the velocity of the flowing liquid at point 1.
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.
STEP 1: Convert Input(s) to Base Unit
Depth of Point 1: 10 Meter --> 10 Meter No Conversion Required
Absolute Velocity of Issuing Jet: 5.002 Meter per Second --> 5.002 Meter per Second No Conversion Required
Velocity of Fluid at 2: 5 Meter per Second --> 5 Meter per Second No Conversion Required
Velocity of Fluid at 1: 5.001 Meter per Second --> 5.001 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
D2 = h 1/((vabs-V2)/(vabs-V1)) --> 10/((5.002-5)/(5.002-5.001))
Evaluating ... ...
D2 = 4.99999999999778
STEP 3: Convert Result to Output's Unit
4.99999999999778 Meter --> No Conversion Required
FINAL ANSWER
4.99999999999778 5 Meter <-- Depth of Point 2
(Calculation completed in 00.004 seconds)

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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

Depth of Flow at Point given Absolute Velocity of Surge Moving towards Right Formula

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))
D2 = h 1/((vabs-V2)/(vabs-V1))

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.

How to Calculate Depth of Flow at Point given Absolute Velocity of Surge Moving towards Right?

Depth of Flow at Point given Absolute Velocity of Surge Moving towards Right calculator uses 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)) to calculate the Depth of Point 2, The Depth of Flow at Point given Absolute Velocity of Surge Moving towards Right formula is defined as velocity at particular depth. Depth of Point 2 is denoted by D2 symbol.

How to calculate Depth of Flow at Point given Absolute Velocity of Surge Moving towards Right using this online calculator? To use this online calculator for Depth of Flow at Point given Absolute Velocity of Surge Moving towards Right, enter Depth of Point 1 (h 1), Absolute Velocity of Issuing Jet (vabs), Velocity of Fluid at 2 (V2) & Velocity of Fluid at 1 (V1) and hit the calculate button. Here is how the Depth of Flow at Point given Absolute Velocity of Surge Moving towards Right calculation can be explained with given input values -> -990 = 10/((5.002-5)/(5.002-5.001)).

FAQ

What is Depth of Flow at Point given Absolute Velocity of Surge Moving towards Right?
The Depth of Flow at Point given Absolute Velocity of Surge Moving towards Right formula is defined as velocity at particular depth and is represented as D2 = h 1/((vabs-V2)/(vabs-V1)) or 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)). Depth of Point 1 is the depth of point below the free surface in a static mass of liquid, Absolute Velocity of Issuing Jet is actual velocity of jet used in propeller, Velocity of Fluid at 2 is defined as the velocity of the flowing liquid at point 1 & Velocity of Fluid at 1 is defined as the velocity of the flowing liquid at a point 1.
How to calculate Depth of Flow at Point given Absolute Velocity of Surge Moving towards Right?
The Depth of Flow at Point given Absolute Velocity of Surge Moving towards Right formula is defined as velocity at particular depth is calculated using 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)). To calculate Depth of Flow at Point given Absolute Velocity of Surge Moving towards Right, you need Depth of Point 1 (h 1), Absolute Velocity of Issuing Jet (vabs), Velocity of Fluid at 2 (V2) & Velocity of Fluid at 1 (V1). With our tool, you need to enter the respective value for Depth of Point 1, Absolute Velocity of Issuing Jet, Velocity of Fluid at 2 & Velocity of Fluid at 1 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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