Average Head for Most Economical Pipe Diameter of Distribution System 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%
✖Pipe Diameter for Weiris the diameter of the pipe in which the liquid is flowing.ⓘ Pipe Diameter for Weir [d_pipe]			+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 for Most Economical Pipe Diameter of Distribution System [h_Avghead]

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Average Head for Most Economical Pipe Diameter of Distribution System Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
h_Avghead = (0.215)*((f*(Q_ec^3)*P*PA)/(C_ds*(d_pipe^7)*I))
This formula uses 8 Variables

Variables Used

Average Head - (Measured in Meter) - Average Head is defined as level of water flowing in pipe at different points.
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.
Pipe Diameter for Weir - (Measured in Meter) - Pipe Diameter for Weiris the diameter of the pipe in which the liquid is flowing.
Initial Investment - The initial investment is the amount required to start a business or a project.

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
Pipe Diameter for Weir: 1.01 Meter --> 1.01 Meter No Conversion Required
Initial Investment: 1890 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_Avghead = (0.215)*((f*(Q_ec^3)*P*PA)/(C_ds*(d_pipe^7)*I)) --> (0.215)*((0.5*(0.16^3)*170*50000000)/(1223*(1.01^7)*1890))

Evaluating ... ...

h_Avghead = 1.51025214158674

STEP 3: Convert Result to Output's Unit

1.51025214158674 Meter --> No Conversion Required

FINAL ANSWER

1.51025214158674 ≈ 1.510252 Meter <-- Average Head

(Calculation completed in 00.020 seconds)

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

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< Most Economical Pipe Calculators

Discharge for Most Economical Pipe Diameter for Distribution System

LaTeX 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

LaTeX 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)))

Average Power for Most Economical Pipe Diameter for Distribution System

LaTeX 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)))

Most Economical Pipe Diameter for Distribution System of Water

LaTeX 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)

Average Head for Most Economical Pipe Diameter of Distribution System Formula

LaTeX Go

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 Average Head for Most Economical Pipe Diameter of Distribution System?

Average Head for Most Economical Pipe Diameter of Distribution System calculator uses 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)) to calculate the Average Head, The Average Head for most economical pipe diameter of distribution system is defined as head of water at one end of the pipe. Average Head is denoted by h_Avghead symbol.

How to calculate Average Head for Most Economical Pipe Diameter of Distribution System using this online calculator? To use this online calculator for Average Head for Most Economical Pipe Diameter of Distribution System, enter Darcy Friction Factor (f), Discharge for Economical Pipe (Q_ec), Hydroelectric Power (P), Allowable Unit Stress (PA), Cost for Distribution System (C_ds), Pipe Diameter for Weir (d_pipe) & Initial Investment (I) and hit the calculate button. Here is how the Average Head for Most Economical Pipe Diameter of Distribution System calculation can be explained with given input values -> 1.427188 = (0.215)*((0.5*(0.16^3)*170*50000000)/(1223*(1.01^7)*1890)).

FAQ

What is Average Head for Most Economical Pipe Diameter of Distribution System?

The Average Head for most economical pipe diameter of distribution system is defined as head of water at one end of the pipe and is represented as h_Avghead = (0.215)*((f*(Q_ec^3)*P*PA)/(C_ds*(d_pipe^7)*I)) or 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)). 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, Pipe Diameter for Weiris the diameter of the pipe in which the liquid is flowing & The initial investment is the amount required to start a business or a project.

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

The Average Head for most economical pipe diameter of distribution system is defined as head of water at one end of the pipe is calculated using 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)). To calculate Average Head for Most Economical Pipe Diameter of Distribution System, 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), Pipe Diameter for Weir (d_pipe) & Initial Investment (I). 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, Pipe Diameter for Weir & Initial Investment 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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