Most Economical Pipe Diameter for Distribution System of Water Calculator

✖The Darcy Friction Factor is a dimensionless parameter used to describe the resistance to fluid flow in pipes or channels.ⓘ Darcy Friction Factor [f]			+10% -10%
✖Discharge for Economical Pipe is the discharge calculated from the most Economical Pipe.ⓘ Discharge for Economical Pipe [Q_ec]			+10% -10%
✖Hydroelectric Power is electricity generated by the flow of water through turbines, harnessing the energy of falling or flowing water.ⓘ Hydroelectric Power [P]			+10% -10%
✖Allowable Unit Stress is the maximum load or stress allowed per unit area of the column.ⓘ Allowable Unit Stress [PA]			+10% -10%
✖Cost for Distribution System indicates the price associated with the making of the product.ⓘ Cost for Distribution System [C_ds]			+10% -10%
✖The initial investment is the amount required to start a business or a project.ⓘ Initial Investment [I]			+10% -10%
✖Average Head is defined as level of water flowing in pipe at different points.ⓘ Average Head [h_Avghead]			+10% -10%

✖Pipe Diameter for Weiris the diameter of the pipe in which the liquid is flowing.ⓘ Most Economical Pipe Diameter for Distribution System of Water [d_pipe]

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Formula

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Most Economical Pipe Diameter for Distribution System of Water

Formula

`"d"_{"pipe"} = 0.215*(("f"*("Q"_{"ec"}^3)*"P"*"PA")/("C"_{"ds"}*"I"*"h"_{"Avghead"}))^(1/7)`

Example

`"0.270481m"=0.215*(("0.5"*(("0.16m³/s")^3)*"170W"*"50N/mm²")/("1223"*"1890"*"1.51m"))^(1/7)`

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Most Economical Pipe Diameter for Distribution System of Water Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pipe Diameter for Weir = 0.215*((Darcy Friction Factor*(Discharge for Economical Pipe^3)*Hydroelectric Power*Allowable Unit Stress)/(Cost for Distribution System*Initial Investment*Average Head))^(1/7)
d_pipe = 0.215*((f*(Q_ec^3)*P*PA)/(C_ds*I*h_Avghead))^(1/7)
This formula uses 8 Variables

Variables Used

Pipe Diameter for Weir - (Measured in Meter) - Pipe Diameter for Weiris the diameter of the pipe in which the liquid is flowing.
Darcy Friction Factor - The Darcy Friction Factor is a dimensionless parameter used to describe the resistance to fluid flow in pipes or channels.
Discharge for Economical Pipe - (Measured in Cubic Meter per Second) - Discharge for Economical Pipe is the discharge calculated from the most Economical Pipe.
Hydroelectric Power - (Measured in Watt) - Hydroelectric Power is electricity generated by the flow of water through turbines, harnessing the energy of falling or flowing water.
Allowable Unit Stress - (Measured in Pascal) - Allowable Unit Stress is the maximum load or stress allowed per unit area of the column.
Cost for Distribution System - Cost for Distribution System indicates the price associated with the making of the product.
Initial Investment - The initial investment is the amount required to start a business or a project.
Average Head - (Measured in Meter) - Average Head is defined as level of water flowing in pipe at different points.

STEP 1: Convert Input(s) to Base Unit

Darcy Friction Factor: 0.5 --> No Conversion Required
Discharge for Economical Pipe: 0.16 Cubic Meter per Second --> 0.16 Cubic Meter per Second No Conversion Required
Hydroelectric Power: 170 Watt --> 170 Watt No Conversion Required
Allowable Unit Stress: 50 Newton per Square Millimeter --> 50000000 Pascal (Check conversion here)
Cost for Distribution System: 1223 --> No Conversion Required
Initial Investment: 1890 --> No Conversion Required
Average Head: 1.51 Meter --> 1.51 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_pipe = 0.215*((f*(Q_ec^3)*P*PA)/(C_ds*I*h_Avghead))^(1/7) --> 0.215*((0.5*(0.16^3)*170*50000000)/(1223*1890*1.51))^(1/7)

Evaluating ... ...

d_pipe = 0.270480603641181

STEP 3: Convert Result to Output's Unit

0.270480603641181 Meter --> No Conversion Required

FINAL ANSWER

0.270480603641181 ≈ 0.270481 Meter <-- Pipe Diameter for Weir

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Flow Over Notches and Weirs » Most Economical Pipe » Most Economical Pipe Diameter for Distribution System of Water

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< 8 Most Economical Pipe Calculators

Discharge for Most Economical Pipe Diameter for Distribution System

Go Discharge for Economical Pipe = (((Pipe Diameter for Weir^7)*(Cost for Distribution System*Initial Investment*Average Head))/(((0.215))*((Darcy Friction Factor*Hydroelectric Power*Allowable Unit Stress))))^(1/3)

Darcy Weisbach Friction Factor for Most Economical Pipe Diameter for Distribution System

Go Darcy Friction Factor = ((Pipe Diameter for Weir^7)*(Cost for Distribution System*Initial Investment*Average Head))/(0.215*(((Discharge for Economical Pipe^3)*Hydroelectric Power*Allowable Unit Stress)))

Allowable Unit Stress given Most Economical Pipe Diameter for Distribution System

Go Allowable Unit Stress = ((Pipe Diameter for Weir^7)*(Cost for Distribution System*Initial Investment*Average Head))/(0.215*(((Discharge for Economical Pipe^3)*Hydroelectric Power*Darcy Friction Factor)))

Average Power for Most Economical Pipe Diameter for Distribution System

Go Hydroelectric Power = ((Pipe Diameter for Weir^7)*(Cost for Distribution System*Initial Investment*Average Head))/(0.215*(((Discharge for Economical Pipe^3)*Darcy Friction Factor*Allowable Unit Stress)))

Initial Investment for Most Economical Pipe Diameter of Distribution System

Go Initial Investment = (0.215)*((Darcy Friction Factor*(Discharge for Economical Pipe^3)*Hydroelectric Power*Allowable Unit Stress)/(Cost for Distribution System*(Pipe Diameter for Weir^7)*Average Head))

Average Head for Most Economical Pipe Diameter of Distribution System

Go Average Head = (0.215)*((Darcy Friction Factor*(Discharge for Economical Pipe^3)*Hydroelectric Power*Allowable Unit Stress)/(Cost for Distribution System*(Pipe Diameter for Weir^7)*Initial Investment))

Most Economical Pipe Diameter for Distribution System of Water

Go Pipe Diameter for Weir = 0.215*((Darcy Friction Factor*(Discharge for Economical Pipe^3)*Hydroelectric Power*Allowable Unit Stress)/(Cost for Distribution System*Initial Investment*Average Head))^(1/7)

Cost given Most Economical Pipe Diameter of Distribution System

Go Cost for Distribution System = 0.215*((Darcy Friction Factor*(Discharge for Economical Pipe^3)*Hydroelectric Power*Allowable Unit Stress)/(Initial Investment*(Pipe Diameter for Weir^7)*Average Head))

Most Economical Pipe Diameter for Distribution System of Water Formula

What is Economical Section of Pipe ?

A most economical section, the discharge slope of bed and resistance co-efficient is maximum, but in case of circular channels, the area of flow cannot be maintained constant, with change of flow in circular channels of any radios, the wetted area and wetted perimeter changes.

How to Calculate Most Economical Pipe Diameter for Distribution System of Water?

Most Economical Pipe Diameter for Distribution System of Water calculator uses Pipe Diameter for Weir = 0.215*((Darcy Friction Factor*(Discharge for Economical Pipe^3)*Hydroelectric Power*Allowable Unit Stress)/(Cost for Distribution System*Initial Investment*Average Head))^(1/7) to calculate the Pipe Diameter for Weir, The Most economical pipe diameter for distribution system of water is defined as diameter of pipe which allows maximum discharge with minimum area and cost. Pipe Diameter for Weir is denoted by d_pipe symbol.

How to calculate Most Economical Pipe Diameter for Distribution System of Water using this online calculator? To use this online calculator for Most Economical Pipe Diameter for Distribution System of Water, enter Darcy Friction Factor (f), Discharge for Economical Pipe (Q_ec), Hydroelectric Power (P), Allowable Unit Stress (PA), Cost for Distribution System (C_ds), Initial Investment (I) & Average Head (h_Avghead) and hit the calculate button. Here is how the Most Economical Pipe Diameter for Distribution System of Water calculation can be explained with given input values -> 0.268304 = 0.215*((0.5*(0.16^3)*170*50000000)/(1223*1890*1.51))^(1/7).

FAQ

What is Most Economical Pipe Diameter for Distribution System of Water?

The Most economical pipe diameter for distribution system of water is defined as diameter of pipe which allows maximum discharge with minimum area and cost and is represented as d_pipe = 0.215*((f*(Q_ec^3)*P*PA)/(C_ds*I*h_Avghead))^(1/7) or Pipe Diameter for Weir = 0.215*((Darcy Friction Factor*(Discharge for Economical Pipe^3)*Hydroelectric Power*Allowable Unit Stress)/(Cost for Distribution System*Initial Investment*Average Head))^(1/7). The Darcy Friction Factor is a dimensionless parameter used to describe the resistance to fluid flow in pipes or channels, Discharge for Economical Pipe is the discharge calculated from the most Economical Pipe, Hydroelectric Power is electricity generated by the flow of water through turbines, harnessing the energy of falling or flowing water, Allowable Unit Stress is the maximum load or stress allowed per unit area of the column, Cost for Distribution System indicates the price associated with the making of the product, The initial investment is the amount required to start a business or a project & Average Head is defined as level of water flowing in pipe at different points.

How to calculate Most Economical Pipe Diameter for Distribution System of Water?

The Most economical pipe diameter for distribution system of water is defined as diameter of pipe which allows maximum discharge with minimum area and cost is calculated using Pipe Diameter for Weir = 0.215*((Darcy Friction Factor*(Discharge for Economical Pipe^3)*Hydroelectric Power*Allowable Unit Stress)/(Cost for Distribution System*Initial Investment*Average Head))^(1/7). To calculate Most Economical Pipe Diameter for Distribution System of Water, you need Darcy Friction Factor (f), Discharge for Economical Pipe (Q_ec), Hydroelectric Power (P), Allowable Unit Stress (PA), Cost for Distribution System (C_ds), Initial Investment (I) & Average Head (h_Avghead). With our tool, you need to enter the respective value for Darcy Friction Factor, Discharge for Economical Pipe, Hydroelectric Power, Allowable Unit Stress, Cost for Distribution System, Initial Investment & Average Head 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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