Efficiency of Power Transmission through Nozzle Calculator

✖Coefficient of Friction of Pipe is the measure of the amount of friction existing between the pipe surface and the flowing liquid.ⓘ Coefficient of Friction of Pipe [μ]			+10% -10%
✖Length of Pipe describes the length of the pipe in which the liquid is flowing.ⓘ Length of Pipe [L]			+10% -10%
✖The Nozzle Area at Outlet is the cross section area of the nozzle outlet (tube of varying cross-sectional area aiming at increasing the speed of an outflow).ⓘ Nozzle Area at Outlet [a₂]			+10% -10%
✖Diameter of Pipe is the length of the longest chord of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe [D]			+10% -10%
✖Cross Sectional Area of Pipe is the area of a two-dimensional shape that is obtained when a pipe is sliced perpendicular to some specified axis at a point.ⓘ Cross Sectional Area of Pipe [A]			+10% -10%

✖Efficiency for nozzle is the ratio of the power at the outlet of the nozzle to the power at the inlet of the pipe.ⓘ Efficiency of Power Transmission through Nozzle [η_n]

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Formula

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Efficiency of Power Transmission through Nozzle

Formula

`"η"_{"n"} = 1/(1+(4*"μ"*"L"*("a"_{"2"}^2)/("D"*("A"^2))))`

Example

`"0.669468"=1/(1+(4*"0.01"*"1200m"*(("3.97E^-4m²")^2)/("0.12m"*(("0.0113m²")^2))))`

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Efficiency of Power Transmission through Nozzle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Efficiency for Nozzle = 1/(1+(4*Coefficient of Friction of Pipe*Length of Pipe*(Nozzle Area at Outlet^2)/(Diameter of Pipe*(Cross Sectional Area of Pipe^2))))
η_n = 1/(1+(4*μ*L*(a₂^2)/(D*(A^2))))
This formula uses 6 Variables

Variables Used

Efficiency for Nozzle - Efficiency for nozzle is the ratio of the power at the outlet of the nozzle to the power at the inlet of the pipe.
Coefficient of Friction of Pipe - Coefficient of Friction of Pipe is the measure of the amount of friction existing between the pipe surface and the flowing liquid.
Length of Pipe - (Measured in Meter) - Length of Pipe describes the length of the pipe in which the liquid is flowing.
Nozzle Area at Outlet - (Measured in Square Meter) - The Nozzle Area at Outlet is the cross section area of the nozzle outlet (tube of varying cross-sectional area aiming at increasing the speed of an outflow).
Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is the length of the longest chord of the pipe in which the liquid is flowing.
Cross Sectional Area of Pipe - (Measured in Square Meter) - Cross Sectional Area of Pipe is the area of a two-dimensional shape that is obtained when a pipe is sliced perpendicular to some specified axis at a point.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Friction of Pipe: 0.01 --> No Conversion Required
Length of Pipe: 1200 Meter --> 1200 Meter No Conversion Required
Nozzle Area at Outlet: 0.000397 Square Meter --> 0.000397 Square Meter No Conversion Required
Diameter of Pipe: 0.12 Meter --> 0.12 Meter No Conversion Required
Cross Sectional Area of Pipe: 0.0113 Square Meter --> 0.0113 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η_n = 1/(1+(4*μ*L*(a₂^2)/(D*(A^2)))) --> 1/(1+(4*0.01*1200*(0.000397^2)/(0.12*(0.0113^2))))

Evaluating ... ...

η_n = 0.669467781240432

STEP 3: Convert Result to Output's Unit

0.669467781240432 --> No Conversion Required

FINAL ANSWER

0.669467781240432 ≈ 0.669468 <-- Efficiency for Nozzle

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Properties of Surfaces and Solids » Closed Channel » Power Transmission » Efficiency of Power Transmission through Nozzle

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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Indian Institute of Technology (IIT), Bombay

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< 5 Power Transmission Calculators

Power transmission through pipes

Go Power Transmitted = (Density*[g]*pi*(Diameter of Pipe^2)*Flow Velocity through Pipe/4000)*(Total Head at Inlet of Pipe-(4*Coefficient of Friction of Pipe*Length of Pipe*(Flow Velocity through Pipe^2)/(Diameter of Pipe*2*[g])))

Efficiency of Power Transmission through Nozzle

Go Efficiency for Nozzle = 1/(1+(4*Coefficient of Friction of Pipe*Length of Pipe*(Nozzle Area at Outlet^2)/(Diameter of Pipe*(Cross Sectional Area of Pipe^2))))

Power Lost ue to Sudden Enlargement

Go Power = Density of Fluid*[g]*Discharge through Pipe*Loss of Head Sudden Enlargement

Efficiency of power transmission in flow through pipes

Go Efficiency for Pipe = (Total Head at Inlet of Pipe-Head Loss Due to Friction in Pipe)/Total Head at Inlet of Pipe

Efficiency of power transmission through nozzle for velocity and total head

Go Efficiency for Nozzle = (Flow Velocity at Nozzle Outlet^2)/(2*[g]*Head at Base of Nozzle)

Efficiency of Power Transmission through Nozzle Formula

Efficiency for Nozzle = 1/(1+(4*Coefficient of Friction of Pipe*Length of Pipe*(Nozzle Area at Outlet^2)/(Diameter of Pipe*(Cross Sectional Area of Pipe^2))))
η_n = 1/(1+(4*μ*L*(a₂^2)/(D*(A^2))))

What is isentropic nozzle flow?

The Isentropic nozzle flow describes the movement of a gas or fluid through a narrowing opening without an increase or decrease in entropy.

What is a flow nozzle?

The flow nozzles is a flow tube consisting of a smooth convergent section leading to a cylindrical throat area.

How to Calculate Efficiency of Power Transmission through Nozzle?

Efficiency of Power Transmission through Nozzle calculator uses Efficiency for Nozzle = 1/(1+(4*Coefficient of Friction of Pipe*Length of Pipe*(Nozzle Area at Outlet^2)/(Diameter of Pipe*(Cross Sectional Area of Pipe^2)))) to calculate the Efficiency for Nozzle, The Efficiency of power transmission through nozzle formula is known while considering the length and diameter of the pipe, total head at the inlet of pipe, area of the pipe, area of the nozzle at the outlet, and coefficient of friction. Efficiency for Nozzle is denoted by η_n symbol.

How to calculate Efficiency of Power Transmission through Nozzle using this online calculator? To use this online calculator for Efficiency of Power Transmission through Nozzle, enter Coefficient of Friction of Pipe (μ), Length of Pipe (L), Nozzle Area at Outlet (a₂), Diameter of Pipe (D) & Cross Sectional Area of Pipe (A) and hit the calculate button. Here is how the Efficiency of Power Transmission through Nozzle calculation can be explained with given input values -> 0.669468 = 1/(1+(4*0.01*1200*(0.000397^2)/(0.12*(0.0113^2)))).

FAQ

What is Efficiency of Power Transmission through Nozzle?

The Efficiency of power transmission through nozzle formula is known while considering the length and diameter of the pipe, total head at the inlet of pipe, area of the pipe, area of the nozzle at the outlet, and coefficient of friction and is represented as η_n = 1/(1+(4*μ*L*(a₂^2)/(D*(A^2)))) or Efficiency for Nozzle = 1/(1+(4*Coefficient of Friction of Pipe*Length of Pipe*(Nozzle Area at Outlet^2)/(Diameter of Pipe*(Cross Sectional Area of Pipe^2)))). Coefficient of Friction of Pipe is the measure of the amount of friction existing between the pipe surface and the flowing liquid, Length of Pipe describes the length of the pipe in which the liquid is flowing, The Nozzle Area at Outlet is the cross section area of the nozzle outlet (tube of varying cross-sectional area aiming at increasing the speed of an outflow), Diameter of Pipe is the length of the longest chord of the pipe in which the liquid is flowing & Cross Sectional Area of Pipe is the area of a two-dimensional shape that is obtained when a pipe is sliced perpendicular to some specified axis at a point.

How to calculate Efficiency of Power Transmission through Nozzle?

The Efficiency of power transmission through nozzle formula is known while considering the length and diameter of the pipe, total head at the inlet of pipe, area of the pipe, area of the nozzle at the outlet, and coefficient of friction is calculated using Efficiency for Nozzle = 1/(1+(4*Coefficient of Friction of Pipe*Length of Pipe*(Nozzle Area at Outlet^2)/(Diameter of Pipe*(Cross Sectional Area of Pipe^2)))). To calculate Efficiency of Power Transmission through Nozzle, you need Coefficient of Friction of Pipe (μ), Length of Pipe (L), Nozzle Area at Outlet (a₂), Diameter of Pipe (D) & Cross Sectional Area of Pipe (A). With our tool, you need to enter the respective value for Coefficient of Friction of Pipe, Length of Pipe, Nozzle Area at Outlet, Diameter of Pipe & Cross Sectional Area of Pipe 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 Efficiency for Nozzle?

In this formula, Efficiency for Nozzle uses Coefficient of Friction of Pipe, Length of Pipe, Nozzle Area at Outlet, Diameter of Pipe & Cross Sectional Area of Pipe. We can use 1 other way(s) to calculate the same, which is/are as follows -

Efficiency for Nozzle = (Flow Velocity at Nozzle Outlet^2)/(2*[g]*Head at Base of Nozzle)

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