Diameter of nozzle for maximum power transmission through nozzle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of Nozzle = ((Diameter of Pipe^5)/(8*Coefficient of Friction of Pipe*Length of Pipe))^0.25
d = ((D^5)/(8*μ*L))^0.25
This formula uses 4 Variables
Variables Used
Diameter of Nozzle - (Measured in Meter) - The Diameter of Nozzle is the size of the section where low velocity is converted into the high velocity of flow at the outlet.
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.
Length of Pipe - (Measured in Meter) - Length of Pipe describes the length of the pipe in which the liquid is flowing.
STEP 1: Convert Input(s) to Base Unit
Diameter of Pipe: 0.12 Meter --> 0.12 Meter No Conversion Required
Coefficient of Friction of Pipe: 0.01 --> No Conversion Required
Length of Pipe: 1200 Meter --> 1200 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = ((D^5)/(8*μ*L))^0.25 --> ((0.12^5)/(8*0.01*1200))^0.25
Evaluating ... ...
d = 0.0225636185585184
STEP 3: Convert Result to Output's Unit
0.0225636185585184 Meter --> No Conversion Required
FINAL ANSWER
0.0225636185585184 0.022564 Meter <-- Diameter of Nozzle
(Calculation completed in 00.020 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

Diameter of nozzle for maximum power transmission through nozzle Formula

Diameter of Nozzle = ((Diameter of Pipe^5)/(8*Coefficient of Friction of Pipe*Length of Pipe))^0.25
d = ((D^5)/(8*μ*L))^0.25

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 inlet of the pipe.

How to Calculate Diameter of nozzle for maximum power transmission through nozzle?

Diameter of nozzle for maximum power transmission through nozzle calculator uses Diameter of Nozzle = ((Diameter of Pipe^5)/(8*Coefficient of Friction of Pipe*Length of Pipe))^0.25 to calculate the Diameter of Nozzle, The Diameter of nozzle for maximum power transmission through nozzle formula is known while considering the length and diameter of the pipe, and the coefficient of friction. Diameter of Nozzle is denoted by d symbol.

How to calculate Diameter of nozzle for maximum power transmission through nozzle using this online calculator? To use this online calculator for Diameter of nozzle for maximum power transmission through nozzle, enter Diameter of Pipe (D), Coefficient of Friction of Pipe (μ) & Length of Pipe (L) and hit the calculate button. Here is how the Diameter of nozzle for maximum power transmission through nozzle calculation can be explained with given input values -> 0.022564 = ((0.12^5)/(8*0.01*1200))^0.25.

FAQ

What is Diameter of nozzle for maximum power transmission through nozzle?
The Diameter of nozzle for maximum power transmission through nozzle formula is known while considering the length and diameter of the pipe, and the coefficient of friction and is represented as d = ((D^5)/(8*μ*L))^0.25 or Diameter of Nozzle = ((Diameter of Pipe^5)/(8*Coefficient of Friction of Pipe*Length of Pipe))^0.25. 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 & Length of Pipe describes the length of the pipe in which the liquid is flowing.
How to calculate Diameter of nozzle for maximum power transmission through nozzle?
The Diameter of nozzle for maximum power transmission through nozzle formula is known while considering the length and diameter of the pipe, and the coefficient of friction is calculated using Diameter of Nozzle = ((Diameter of Pipe^5)/(8*Coefficient of Friction of Pipe*Length of Pipe))^0.25. To calculate Diameter of nozzle for maximum power transmission through nozzle, you need Diameter of Pipe (D), Coefficient of Friction of Pipe (μ) & Length of Pipe (L). With our tool, you need to enter the respective value for Diameter of Pipe, Coefficient of Friction of Pipe & Length 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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