Power Lost Solution

STEP 0: Pre-Calculation Summary
Formula Used
Power Loss = Density of Fluid*Rate of Flow*0.5*(Absolute Velocity of Issuing Jet-Flow Velocity)^2
Ploss = ρFluid*qflow*0.5*(V-Vf)^2
This formula uses 5 Variables
Variables Used
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.
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
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
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
Ploss = ρFluid*qflow*0.5*(V-Vf)^2 --> 0.5*24*0.5*(6-5)^2
Evaluating ... ...
Ploss = 6
STEP 3: Convert Result to Output's Unit
6 Watt --> No Conversion Required
FINAL ANSWER
6 Watt <-- Power Loss
(Calculation completed in 00.004 seconds)

Credits

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

Power Lost Formula

Power Loss = Density of Fluid*Rate of Flow*0.5*(Absolute Velocity of Issuing Jet-Flow Velocity)^2
Ploss = ρFluid*qflow*0.5*(V-Vf)^2

What is Power Lost ?

When a fluid travels in a pipe energy is dissipated by friction. The amount of energy lost depends on a number of factors such as the fluid's speed and viscosity. If the flow is turbulent it can even depend on the roughness of the pipe walls.

How to Calculate Power Lost?

Power Lost calculator uses Power Loss = Density of Fluid*Rate of Flow*0.5*(Absolute Velocity of Issuing Jet-Flow Velocity)^2 to calculate the Power Loss, The Power Lost is defined as power lost in increasing the kinetic energy of flow in the slip stream. Power Loss is denoted by Ploss symbol.

How to calculate Power Lost using this online calculator? To use this online calculator for Power Lost, enter Density of Fluid Fluid), Rate of Flow (qflow), Absolute Velocity of Issuing Jet (V) & Flow Velocity (Vf) and hit the calculate button. Here is how the Power Lost calculation can be explained with given input values -> 54 = 0.5*24*0.5*(6-5)^2.

FAQ

What is Power Lost?
The Power Lost is defined as power lost in increasing the kinetic energy of flow in the slip stream and is represented as Ploss = ρFluid*qflow*0.5*(V-Vf)^2 or Power Loss = Density of Fluid*Rate of Flow*0.5*(Absolute Velocity of Issuing Jet-Flow Velocity)^2. 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, 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 Power Lost?
The Power Lost is defined as power lost in increasing the kinetic energy of flow in the slip stream is calculated using Power Loss = Density of Fluid*Rate of Flow*0.5*(Absolute Velocity of Issuing Jet-Flow Velocity)^2. To calculate Power Lost, you need Density of Fluid Fluid), Rate of Flow (qflow), Absolute Velocity of Issuing Jet (V) & Flow Velocity (Vf). With our tool, you need to enter the respective value for Density of Fluid, Rate of Flow, 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.
How many ways are there to calculate Power Loss?
In this formula, Power Loss uses Density of Fluid, Rate of Flow, Absolute Velocity of Issuing Jet & Flow Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Power Loss = Total Input Power-Output Power
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