Length of pipe for maximum power transmission through nozzle Calculator

✖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%
✖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%
✖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 for maximum power transmission through nozzle [L]

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Length of pipe for maximum power transmission through nozzle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Pipe = ((Cross Sectional Area of Pipe/Nozzle Area at Outlet)^2)*Diameter of Pipe/(8*Coefficient of Friction of Pipe)
L = ((A/a₂)^2)*D/(8*μ)
This formula uses 5 Variables

Variables Used

Length of Pipe - (Measured in Meter) - Length of Pipe describes the length 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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Cross Sectional Area of Pipe: 0.0113 Square Meter --> 0.0113 Square 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
Coefficient of Friction of Pipe: 0.01 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = ((A/a₂)^2)*D/(8*μ) --> ((0.0113/0.000397)^2)*0.12/(8*0.01)

Evaluating ... ...

L = 1215.25420502636

STEP 3: Convert Result to Output's Unit

1215.25420502636 Meter --> No Conversion Required

FINAL ANSWER

1215.25420502636 ≈ 1215.254 Meter <-- Length of Pipe

(Calculation completed in 00.020 seconds)

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Home » Physics » Fluid Mechanics » Properties of Surfaces and Solids » Closed Channel » Mechanical » Geometric Property » Length of pipe for maximum 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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< Geometric Property Calculators

Diameter of Equivalent Pipe

LaTeX 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

LaTeX 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)

Length of pipe for maximum power transmission through nozzle

LaTeX 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

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

Length of pipe for maximum power transmission through nozzle Formula

LaTeX Go

Length of Pipe = ((Cross Sectional Area of Pipe/Nozzle Area at Outlet)^2)*Diameter of Pipe/(8*Coefficient of Friction of Pipe)
L = ((A/a₂)^2)*D/(8*μ)

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 Length of pipe for maximum power transmission through nozzle?

Length of pipe for maximum power transmission through nozzle calculator uses Length of Pipe = ((Cross Sectional Area of Pipe/Nozzle Area at Outlet)^2)*Diameter of Pipe/(8*Coefficient of Friction of Pipe) to calculate the Length of Pipe, The Length of pipe for maximum power transmission through nozzle formula is known while considering the area of the pipe, nozzle area at the outlet, coefficient of friction, and diameter of the pipe. Length of Pipe is denoted by L symbol.

How to calculate Length of pipe for maximum power transmission through nozzle using this online calculator? To use this online calculator for Length of pipe for maximum power transmission through nozzle, enter Cross Sectional Area of Pipe (A), Nozzle Area at Outlet (a₂), Diameter of Pipe (D) & Coefficient of Friction of Pipe (μ) and hit the calculate button. Here is how the Length of pipe for maximum power transmission through nozzle calculation can be explained with given input values -> 1215.254 = ((0.0113/0.000397)^2)*0.12/(8*0.01).

FAQ

What is Length of pipe for maximum power transmission through nozzle?

The Length of pipe for maximum power transmission through nozzle formula is known while considering the area of the pipe, nozzle area at the outlet, coefficient of friction, and diameter of the pipe and is represented as L = ((A/a₂)^2)*D/(8*μ) or Length of Pipe = ((Cross Sectional Area of Pipe/Nozzle Area at Outlet)^2)*Diameter of Pipe/(8*Coefficient of Friction of Pipe). 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, 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 & Coefficient of Friction of Pipe is the measure of the amount of friction existing between the pipe surface and the flowing liquid.

How to calculate Length of pipe for maximum power transmission through nozzle?

The Length of pipe for maximum power transmission through nozzle formula is known while considering the area of the pipe, nozzle area at the outlet, coefficient of friction, and diameter of the pipe is calculated using Length of Pipe = ((Cross Sectional Area of Pipe/Nozzle Area at Outlet)^2)*Diameter of Pipe/(8*Coefficient of Friction of Pipe). To calculate Length of pipe for maximum power transmission through nozzle, you need Cross Sectional Area of Pipe (A), Nozzle Area at Outlet (a₂), Diameter of Pipe (D) & Coefficient of Friction of Pipe (μ). With our tool, you need to enter the respective value for Cross Sectional Area of Pipe, Nozzle Area at Outlet, Diameter of Pipe & Coefficient of Friction 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 Length of Pipe?

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

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)

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