Flow Velocity given Power Lost Solution

STEP 0: Pre-Calculation Summary
Formula Used
Flow Velocity = Absolute Velocity of Issuing Jet-sqrt((Power Loss/(Density of Fluid*Rate of Flow*0.5)))
Vf = V-sqrt((Ploss/(ρFluid*qflow*0.5)))
This formula uses 1 Functions, 5 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Flow Velocity - (Measured in Meter per Second) - Flow Velocity is the velocity of the flow of any fluid.
Absolute Velocity of Issuing Jet - (Measured in Meter per Second) - Absolute Velocity of Issuing Jet is actual velocity of jet used in propeller.
Power Loss - (Measured in Watt) - Power Loss is the loss of the electrical power network supply to an end user.
Density of Fluid - (Measured in Kilogram per Cubic Meter) - Density of Fluid is defined as the mass of fluid per unit volume of the said 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.
STEP 1: Convert Input(s) to Base Unit
Absolute Velocity of Issuing Jet: 6 Meter per Second --> 6 Meter per Second No Conversion Required
Power Loss: 15.7 Watt --> 15.7 Watt No Conversion Required
Density of Fluid: 0.5 Kilogram per Cubic Meter --> 0.5 Kilogram per Cubic Meter No Conversion Required
Rate of Flow: 24 Cubic Meter per Second --> 24 Cubic Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vf = V-sqrt((Ploss/(ρFluid*qflow*0.5))) --> 6-sqrt((15.7/(0.5*24*0.5)))
Evaluating ... ...
Vf = 4.38238859219321
STEP 3: Convert Result to Output's Unit
4.38238859219321 Meter per Second --> No Conversion Required
FINAL ANSWER
4.38238859219321 4.382389 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 Power Lost Formula

Flow Velocity = Absolute Velocity of Issuing Jet-sqrt((Power Loss/(Density of Fluid*Rate of Flow*0.5)))
Vf = V-sqrt((Ploss/(ρFluid*qflow*0.5)))

What is Velocity of Flow?

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 Power Lost?

Flow Velocity given Power Lost calculator uses Flow Velocity = Absolute Velocity of Issuing Jet-sqrt((Power Loss/(Density of Fluid*Rate of Flow*0.5))) to calculate the Flow Velocity, The Flow Velocity given Power Lost is defined as velocity of stream coming on to the jet propeller. Flow Velocity is denoted by Vf symbol.

How to calculate Flow Velocity given Power Lost using this online calculator? To use this online calculator for Flow Velocity given Power Lost, enter Absolute Velocity of Issuing Jet (V), Power Loss (Ploss), Density of Fluid Fluid) & Rate of Flow (qflow) and hit the calculate button. Here is how the Flow Velocity given Power Lost calculation can be explained with given input values -> 6.382389 = 6-sqrt((15.7/(0.5*24*0.5))).

FAQ

What is Flow Velocity given Power Lost?
The Flow Velocity given Power Lost is defined as velocity of stream coming on to the jet propeller and is represented as Vf = V-sqrt((Ploss/(ρFluid*qflow*0.5))) or Flow Velocity = Absolute Velocity of Issuing Jet-sqrt((Power Loss/(Density of Fluid*Rate of Flow*0.5))). Absolute Velocity of Issuing Jet is actual velocity of jet used in propeller, Power Loss is the loss of the electrical power network supply to an end user, Density of Fluid is defined as the mass of fluid per unit volume of the said fluid & Rate of Flow is the rate at which a liquid or other substance flows through a particular channel, pipe, etc.
How to calculate Flow Velocity given Power Lost?
The Flow Velocity given Power Lost is defined as velocity of stream coming on to the jet propeller is calculated using Flow Velocity = Absolute Velocity of Issuing Jet-sqrt((Power Loss/(Density of Fluid*Rate of Flow*0.5))). To calculate Flow Velocity given Power Lost, you need Absolute Velocity of Issuing Jet (V), Power Loss (Ploss), Density of Fluid Fluid) & Rate of Flow (qflow). With our tool, you need to enter the respective value for Absolute Velocity of Issuing Jet, Power Loss, Density of Fluid & Rate of Flow 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 Absolute Velocity of Issuing Jet, Power Loss, Density of Fluid & Rate of Flow. 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 = (8*Rate of Flow/(pi*Diameter of Turbine^2))-Absolute Velocity of Issuing Jet
  • Flow Velocity = Absolute Velocity of Issuing Jet/(2/Efficiency of Jet-1)
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