Area of Pipe for Maximum Power Transmission through Nozzle Calculator

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✖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%
✖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%
✖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.ⓘ Area of Pipe for Maximum Power Transmission through Nozzle [A]

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Formula

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Area of Pipe for Maximum Power Transmission through Nozzle

Formula

`"A" = "a"_{"2"}*sqrt(8*"μ"*"L"/"D")`

Example

`"0.011229m²"="3.97E^-4m²"*sqrt(8*"0.01"*"1200m"/"0.12m")`

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Area of Pipe for Maximum Power Transmission through Nozzle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cross Sectional Area of Pipe = Nozzle Area at Outlet*sqrt(8*Coefficient of Friction of Pipe*Length of Pipe/Diameter of Pipe)
A = a₂*sqrt(8*μ*L/D)
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

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.
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).
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.
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.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = a₂*sqrt(8*μ*L/D) --> 0.000397*sqrt(8*0.01*1200/0.12)

Evaluating ... ...

A = 0.0112288556852424

STEP 3: Convert Result to Output's Unit

0.0112288556852424 Square Meter --> No Conversion Required

FINAL ANSWER

0.0112288556852424 ≈ 0.011229 Square Meter <-- Cross Sectional Area of Pipe

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Properties of Surfaces and Solids » Closed Channel » Geometric Property » Area of Pipe for Maximum Power Transmission through Nozzle

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< 7 Geometric Property Calculators

Maximum Area of Obstruction in Pipe

Go Maximum Area of Obstruction = Cross Sectional Area of Pipe-((Cross Sectional Area of Pipe*Flow Velocity through Pipe)/(Coefficient of Contraction in Pipe*Velocity of Liquid Vena Contracta))

Diameter of Equivalent Pipe

Go Diameter of Equivalent Pipe = ((4*16*(Discharge through Pipe^2)*Coefficient of Friction of Pipe*Length of Pipe)/((pi^2)*2*Loss of Head in Equivalent Pipe*[g]))^(1/5)

Length of Equivalent Pipe

Go Length of Pipe = (Loss of Head in Equivalent Pipe*(pi^2)*2*(Diameter of Equivalent Pipe^5)*[g])/(4*16*(Discharge through Pipe^2)*Coefficient of Friction of Pipe)

Area of Nozzle at Outlet for Maximum Power Transmission through Nozzle

Go Nozzle Area at Outlet = Cross Sectional Area of Pipe/sqrt(8*Coefficient of Friction of Pipe*Length of Pipe/Diameter of Pipe)

Area of Pipe for Maximum Power Transmission through Nozzle

Go Cross Sectional Area of Pipe = Nozzle Area at Outlet*sqrt(8*Coefficient of Friction of Pipe*Length of Pipe/Diameter of Pipe)

Length of pipe for maximum power transmission through nozzle

Go Length of Pipe = ((Cross Sectional Area of Pipe/Nozzle Area at Outlet)^2)*Diameter of Pipe/(8*Coefficient of Friction of Pipe)

Diameter of nozzle for maximum power transmission through nozzle

Go Diameter of Nozzle = ((Diameter of Pipe^5)/(8*Coefficient of Friction of Pipe*Length of Pipe))^0.25

Area of Pipe for Maximum Power Transmission through Nozzle Formula

Cross Sectional Area of Pipe = Nozzle Area at Outlet*sqrt(8*Coefficient of Friction of Pipe*Length of Pipe/Diameter of Pipe)
A = a₂*sqrt(8*μ*L/D)

What is a flow nozzle?

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

When will the power transmitted through a nozzle be maximum?

The power transmitted through a nozzle will be maximum when the head loss due to friction will be one-third of the total head at the inlet of the pipe.

How to Calculate Area of Pipe for Maximum Power Transmission through Nozzle?

Area of Pipe for Maximum Power Transmission through Nozzle calculator uses Cross Sectional Area of Pipe = Nozzle Area at Outlet*sqrt(8*Coefficient of Friction of Pipe*Length of Pipe/Diameter of Pipe) to calculate the Cross Sectional Area of Pipe, The Area of pipe for maximum power transmission through nozzle formula is known while considering the area of the nozzle at the outlet, coefficient of friction, length, and diameter of the pipe. Cross Sectional Area of Pipe is denoted by A symbol.

How to calculate Area of Pipe for Maximum Power Transmission through Nozzle using this online calculator? To use this online calculator for Area of Pipe for Maximum Power Transmission through Nozzle, enter Nozzle Area at Outlet (a₂), Coefficient of Friction of Pipe (μ), Length of Pipe (L) & Diameter of Pipe (D) and hit the calculate button. Here is how the Area of Pipe for Maximum Power Transmission through Nozzle calculation can be explained with given input values -> 0.011229 = 0.000397*sqrt(8*0.01*1200/0.12).

FAQ

What is Area of Pipe for Maximum Power Transmission through Nozzle?

The Area of pipe for maximum power transmission through nozzle formula is known while considering the area of the nozzle at the outlet, coefficient of friction, length, and diameter of the pipe and is represented as A = a₂*sqrt(8*μ*L/D) or Cross Sectional Area of Pipe = Nozzle Area at Outlet*sqrt(8*Coefficient of Friction of Pipe*Length of Pipe/Diameter of Pipe). 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), 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 & Diameter of Pipe is the length of the longest chord of the pipe in which the liquid is flowing.

How to calculate Area of Pipe for Maximum Power Transmission through Nozzle?

The Area of pipe for maximum power transmission through nozzle formula is known while considering the area of the nozzle at the outlet, coefficient of friction, length, and diameter of the pipe is calculated using Cross Sectional Area of Pipe = Nozzle Area at Outlet*sqrt(8*Coefficient of Friction of Pipe*Length of Pipe/Diameter of Pipe). To calculate Area of Pipe for Maximum Power Transmission through Nozzle, you need Nozzle Area at Outlet (a₂), Coefficient of Friction of Pipe (μ), Length of Pipe (L) & Diameter of Pipe (D). With our tool, you need to enter the respective value for Nozzle Area at Outlet, Coefficient of Friction of Pipe, Length of Pipe & Diameter of Pipe 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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