Area of Nozzle at Outlet for Maximum Power Transmission through Nozzle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Nozzle Area at Outlet = Cross Sectional Area of Pipe/sqrt(8*Coefficient of Friction of Pipe*Length of Pipe/Diameter of Pipe)
a2 = A/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
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).
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.
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
Cross Sectional Area of Pipe: 0.0113 Square Meter --> 0.0113 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
a2 = A/sqrt(8*μ*L/D) --> 0.0113/sqrt(8*0.01*1200/0.12)
Evaluating ... ...
a2 = 0.000399515331370399
STEP 3: Convert Result to Output's Unit
0.000399515331370399 Square Meter --> No Conversion Required
FINAL ANSWER
0.000399515331370399 0.0004 Square Meter <-- Nozzle Area at Outlet
(Calculation completed in 00.004 seconds)

Credits

Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
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Indian Institute of Technology (IIT), Bombay
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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 Nozzle at Outlet for Maximum Power Transmission through Nozzle Formula

Nozzle Area at Outlet = Cross Sectional Area of Pipe/sqrt(8*Coefficient of Friction of Pipe*Length of Pipe/Diameter of Pipe)
a2 = A/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 Nozzle at Outlet for Maximum Power Transmission through Nozzle?

Area of Nozzle at Outlet for Maximum Power Transmission through Nozzle calculator uses Nozzle Area at Outlet = Cross Sectional Area of Pipe/sqrt(8*Coefficient of Friction of Pipe*Length of Pipe/Diameter of Pipe) to calculate the Nozzle Area at Outlet, The Area of nozzle at outlet for maximum power transmission through nozzle formula is known while considering the area of the pipe, coefficient of friction, length, and diameter of the pipe. Nozzle Area at Outlet is denoted by a2 symbol.

How to calculate Area of Nozzle at Outlet for Maximum Power Transmission through Nozzle using this online calculator? To use this online calculator for Area of Nozzle at Outlet for Maximum Power Transmission through Nozzle, enter Cross Sectional Area of Pipe (A), 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 Nozzle at Outlet for Maximum Power Transmission through Nozzle calculation can be explained with given input values -> 0.0004 = 0.0113/sqrt(8*0.01*1200/0.12).

FAQ

What is Area of Nozzle at Outlet for Maximum Power Transmission through Nozzle?
The Area of nozzle at outlet for maximum power transmission through nozzle formula is known while considering the area of the pipe, coefficient of friction, length, and diameter of the pipe and is represented as a2 = A/sqrt(8*μ*L/D) or Nozzle Area at Outlet = Cross Sectional Area of Pipe/sqrt(8*Coefficient of Friction of Pipe*Length of Pipe/Diameter 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, 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 Nozzle at Outlet for Maximum Power Transmission through Nozzle?
The Area of nozzle at outlet for maximum power transmission through nozzle formula is known while considering the area of the pipe, coefficient of friction, length, and diameter of the pipe is calculated using Nozzle Area at Outlet = Cross Sectional Area of Pipe/sqrt(8*Coefficient of Friction of Pipe*Length of Pipe/Diameter of Pipe). To calculate Area of Nozzle at Outlet for Maximum Power Transmission through Nozzle, you need Cross Sectional Area of Pipe (A), 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 Cross Sectional Area of Pipe, 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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