Flow Velocity given Rate of Flow through Propeller Calculator

✖Rate of Flow is the rate at which a liquid or other substance flows through a particular channel, pipe, etc.ⓘ Rate of Flow [q_flow]			+10% -10%
✖Diameter of Turbine is a typical turbine with a 600 kW electrical generator will typically have a rotor diameter of some 44 meters.ⓘ Diameter of Turbine [D]			+10% -10%
✖Absolute Velocity of Issuing Jet is actual velocity of jet used in propeller.ⓘ Absolute Velocity of Issuing Jet [V]			+10% -10%

✖Flow Velocity is the velocity of the flow of any fluid.ⓘ Flow Velocity given Rate of Flow through Propeller [V_f]

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Formula

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Flow Velocity given Rate of Flow through Propeller

Formula

`"V"_{"f"} = (8*"q"_{"flow"}/(pi*"D"^2))-"V"`

Example

`"-5.711711m/s"=(8*"24m³/s"/(pi*("14.56m")^2))-"6m/s"`

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Flow Velocity given Rate of Flow through Propeller Solution

STEP 0: Pre-Calculation Summary

Formula Used

Flow Velocity = (8*Rate of Flow/(pi*Diameter of Turbine^2))-Absolute Velocity of Issuing Jet
V_f = (8*q_flow/(pi*D^2))-V
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Flow Velocity - (Measured in Meter per Second) - Flow Velocity is the velocity of the flow of any fluid.
Rate of Flow - (Measured in Cubic Meter per Second) - Rate of Flow is the rate at which a liquid or other substance flows through a particular channel, pipe, etc.
Diameter of Turbine - (Measured in Meter) - Diameter of Turbine is a typical turbine with a 600 kW electrical generator will typically have a rotor diameter of some 44 meters.
Absolute Velocity of Issuing Jet - (Measured in Meter per Second) - Absolute Velocity of Issuing Jet is actual velocity of jet used in propeller.

STEP 1: Convert Input(s) to Base Unit

Rate of Flow: 24 Cubic Meter per Second --> 24 Cubic Meter per Second No Conversion Required
Diameter of Turbine: 14.56 Meter --> 14.56 Meter No Conversion Required
Absolute Velocity of Issuing Jet: 6 Meter per Second --> 6 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_f = (8*q_flow/(pi*D^2))-V --> (8*24/(pi*14.56^2))-6

Evaluating ... ...

V_f = -5.71171064528699

STEP 3: Convert Result to Output's Unit

-5.71171064528699 Meter per Second --> No Conversion Required

FINAL ANSWER

-5.71171064528699 ≈ -5.711711 Meter per Second <-- Flow Velocity

(Calculation completed in 00.004 seconds)

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< 14 Momentum Theory of Propellers Calculators

Output Power given Rate of Flow through Propeller

Go Output Power = Water Density*Rate of Flow*Flow Velocity*(Absolute Velocity of Issuing Jet-Flow Velocity)

Flow Velocity given Power Lost

Go Flow Velocity = Absolute Velocity of Issuing Jet-sqrt((Power Loss/(Density of Fluid*Rate of Flow*0.5)))

Rate of Flow through Propeller

Go Rate of Flow through Propeller = (pi/8)*(Diameter of Turbine^2)*(Absolute Velocity of Issuing Jet+Flow Velocity)

Rate of Flow given Power Lost

Go Rate of Flow = Power Loss/Density of Fluid*0.5*(Absolute Velocity of Issuing Jet-Flow Velocity)^2

Power Lost

Go Power Loss = Density of Fluid*Rate of Flow*0.5*(Absolute Velocity of Issuing Jet-Flow Velocity)^2

Flow Velocity given Rate of Flow through Propeller

Go Flow Velocity = (8*Rate of Flow/(pi*Diameter of Turbine^2))-Absolute Velocity of Issuing Jet

Flow Velocity given Thrust on Propeller

Go Flow Velocity = -(Thrust Force/(Water Density*Rate of Flow))+Absolute Velocity of Issuing Jet

Diameter of Propeller given Thrust on Propeller

Go Diameter of Turbine = sqrt((4/pi)*Thrust Force/Change in Pressure)

Thrust on Propeller

Go Thrust Force = (pi/4)*(Diameter of Turbine^2)*Change in Pressure

Theoretical Propulsive Efficiency

Go Efficiency of Jet = 2/(1+(Absolute Velocity of Issuing Jet/Flow Velocity))

Flow Velocity given Theoretical Propulsive efficiency

Go Flow Velocity = Absolute Velocity of Issuing Jet/(2/Efficiency of Jet-1)

Output Power given Input Power

Go Output Power = Total Input Power-Power Loss

Power Lost given Input Power

Go Power Loss = Total Input Power-Output Power

Input Power

Go Total Input Power = Output Power+Power Loss

Flow Velocity given Rate of Flow through Propeller Formula

Flow Velocity = (8*Rate of Flow/(pi*Diameter of Turbine^2))-Absolute Velocity of Issuing Jet
V_f = (8*q_flow/(pi*D^2))-V

What is the Velocity of Flow in a Pipe?

Pipe velocity is an area averaged property which is independent of the pipe's cross-sectional flow distribution and whether the flow is laminar or turbulent. For example, along the central axis, fluid may be travelling at twice the calculated pipe velocity.

How to Calculate Flow Velocity given Rate of Flow through Propeller?

Flow Velocity given Rate of Flow through Propeller calculator uses Flow Velocity = (8*Rate of Flow/(pi*Diameter of Turbine^2))-Absolute Velocity of Issuing Jet to calculate the Flow Velocity, The Flow Velocity given Rate of Flow through Propeller is defined as the velocity of fluid coming on jet. Flow Velocity is denoted by V_f symbol.

How to calculate Flow Velocity given Rate of Flow through Propeller using this online calculator? To use this online calculator for Flow Velocity given Rate of Flow through Propeller, enter Rate of Flow (q_flow), Diameter of Turbine (D) & Absolute Velocity of Issuing Jet (V) and hit the calculate button. Here is how the Flow Velocity given Rate of Flow through Propeller calculation can be explained with given input values -> 6.627169 = (8*24/(pi*14.56^2))-6.

FAQ

What is Flow Velocity given Rate of Flow through Propeller?

The Flow Velocity given Rate of Flow through Propeller is defined as the velocity of fluid coming on jet and is represented as V_f = (8*q_flow/(pi*D^2))-V or Flow Velocity = (8*Rate of Flow/(pi*Diameter of Turbine^2))-Absolute Velocity of Issuing Jet. Rate of Flow is the rate at which a liquid or other substance flows through a particular channel, pipe, etc, Diameter of Turbine is a typical turbine with a 600 kW electrical generator will typically have a rotor diameter of some 44 meters & Absolute Velocity of Issuing Jet is actual velocity of jet used in propeller.

How to calculate Flow Velocity given Rate of Flow through Propeller?

The Flow Velocity given Rate of Flow through Propeller is defined as the velocity of fluid coming on jet is calculated using Flow Velocity = (8*Rate of Flow/(pi*Diameter of Turbine^2))-Absolute Velocity of Issuing Jet. To calculate Flow Velocity given Rate of Flow through Propeller, you need Rate of Flow (q_flow), Diameter of Turbine (D) & Absolute Velocity of Issuing Jet (V). With our tool, you need to enter the respective value for Rate of Flow, Diameter of Turbine & Absolute Velocity of Issuing Jet 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 Flow Velocity?

In this formula, Flow Velocity uses Rate of Flow, Diameter of Turbine & Absolute Velocity of Issuing Jet. We can use 3 other way(s) to calculate the same, which is/are as follows -

Flow Velocity = -(Thrust Force/(Water Density*Rate of Flow))+Absolute Velocity of Issuing Jet
Flow Velocity = Absolute Velocity of Issuing Jet-sqrt((Power Loss/(Density of Fluid*Rate of Flow*0.5)))
Flow Velocity = Absolute Velocity of Issuing Jet/(2/Efficiency of Jet-1)

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