Rate of Flow through Propeller Calculator

✖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 [V_f]			+10% -10%

✖Rate of Flow through Propeller is the mass flow through the propulsion system is a constant, and we can determine the value at the plane of the propeller.ⓘ Rate of Flow through Propeller [Q]

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Formula

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Rate of Flow through Propeller

Formula

`"Q" = (pi/8)*("D"^2)*("V"+"V"_{"f"})`

Example

`"915.7466m³/s"=(pi/8)*(("14.56m")^2)*("6m/s"+"5m/s")`

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Rate of Flow through Propeller Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Rate of Flow through Propeller - (Measured in Cubic Meter per Second) - Rate of Flow through Propeller is the mass flow through the propulsion system is a constant, and we can determine the value at the plane of the propeller.
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.
Flow Velocity - (Measured in Meter per Second) - Flow Velocity is the velocity of the flow of any fluid.

STEP 1: Convert Input(s) to Base Unit

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
Flow Velocity: 5 Meter per Second --> 5 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = (pi/8)*(D^2)*(V+V_f) --> (pi/8)*(14.56^2)*(6+5)

Evaluating ... ...

Q = 915.746612506073

STEP 3: Convert Result to Output's Unit

915.746612506073 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

915.746612506073 ≈ 915.7466 Cubic Meter per Second <-- Rate of Flow through Propeller

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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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

Rate of Flow through Propeller Formula

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

What is Rate of Flow?

Rate of flow may refer to: Mass flow rate, the movement of mass per time. Volumetric flow rate, the volume of a fluid which passes through a given surface per unit of time. Heat flow rate, the movement of heat per time.

How to Calculate Rate of Flow through Propeller?

Rate of Flow through Propeller calculator uses Rate of Flow through Propeller = (pi/8)*(Diameter of Turbine^2)*(Absolute Velocity of Issuing Jet+Flow Velocity) to calculate the Rate of Flow through Propeller, The Rate of Flow through Propeller is defined as discharge for average velocity of jet along with the flow velocity. Rate of Flow through Propeller is denoted by Q symbol.

How to calculate Rate of Flow through Propeller using this online calculator? To use this online calculator for Rate of Flow through Propeller, enter Diameter of Turbine (D), Absolute Velocity of Issuing Jet (V) & Flow Velocity (V_f) and hit the calculate button. Here is how the Rate of Flow through Propeller calculation can be explained with given input values -> 915.7466 = (pi/8)*(14.56^2)*(6+5).

FAQ

What is Rate of Flow through Propeller?

The Rate of Flow through Propeller is defined as discharge for average velocity of jet along with the flow velocity and is represented as Q = (pi/8)*(D^2)*(V+V_f) or Rate of Flow through Propeller = (pi/8)*(Diameter of Turbine^2)*(Absolute Velocity of Issuing Jet+Flow Velocity). 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 & Flow Velocity is the velocity of the flow of any fluid.

How to calculate Rate of Flow through Propeller?

The Rate of Flow through Propeller is defined as discharge for average velocity of jet along with the flow velocity is calculated using Rate of Flow through Propeller = (pi/8)*(Diameter of Turbine^2)*(Absolute Velocity of Issuing Jet+Flow Velocity). To calculate Rate of Flow through Propeller, you need Diameter of Turbine (D), Absolute Velocity of Issuing Jet (V) & Flow Velocity (V_f). With our tool, you need to enter the respective value for Diameter of Turbine, Absolute Velocity of Issuing Jet & Flow Velocity 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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