Discharge for Most Economical Pipe Diameter for Distribution System Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
Qec = (((dpipe^7)*(Cds*I*hAvghead))/(((0.215))*((f*P*PA))))^(1/3)
This formula uses 8 Variables
Variables Used
Discharge for Economical Pipe - (Measured in Cubic Meter per Second) - Discharge for Economical Pipe is the discharge calculated from the most Economical Pipe.
Pipe Diameter for Weir - (Measured in Meter) - Pipe Diameter for Weiris the diameter of the pipe in which the liquid is flowing.
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.
Darcy Friction Factor - The Darcy Friction Factor is a dimensionless parameter used to describe the resistance to fluid flow in pipes or channels.
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.
STEP 1: Convert Input(s) to Base Unit
Pipe Diameter for Weir: 1.01 Meter --> 1.01 Meter No Conversion Required
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
Darcy Friction Factor: 0.5 --> 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)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Qec = (((dpipe^7)*(Cds*I*hAvghead))/(((0.215))*((f*P*PA))))^(1/3) --> (((1.01^7)*(1223*1890*1.51))/(((0.215))*((0.5*170*50000000))))^(1/3)
Evaluating ... ...
Qec = 0.159991095328149
STEP 3: Convert Result to Output's Unit
0.159991095328149 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
0.159991095328149 0.159991 Cubic Meter per Second <-- Discharge for Economical Pipe
(Calculation completed in 00.004 seconds)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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Verified by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
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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))

Discharge for Most Economical Pipe Diameter for Distribution System Formula

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)
Qec = (((dpipe^7)*(Cds*I*hAvghead))/(((0.215))*((f*P*PA))))^(1/3)

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 Discharge for Most Economical Pipe Diameter for Distribution System?

Discharge for Most Economical Pipe Diameter for Distribution System calculator uses 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) to calculate the Discharge for Economical Pipe, The Discharge for most economical pipe diameter for distribution system is defined as amount of water flowing through the channel. Discharge for Economical Pipe is denoted by Qec symbol.

How to calculate Discharge for Most Economical Pipe Diameter for Distribution System using this online calculator? To use this online calculator for Discharge for Most Economical Pipe Diameter for Distribution System, enter Pipe Diameter for Weir (dpipe), Cost for Distribution System (Cds), Initial Investment (I), Average Head (hAvghead), Darcy Friction Factor (f), Hydroelectric Power (P) & Allowable Unit Stress (PA) and hit the calculate button. Here is how the Discharge for Most Economical Pipe Diameter for Distribution System calculation can be explained with given input values -> 0.163037 = (((1.01^7)*(1223*1890*1.51))/(((0.215))*((0.5*170*50000000))))^(1/3).

FAQ

What is Discharge for Most Economical Pipe Diameter for Distribution System?
The Discharge for most economical pipe diameter for distribution system is defined as amount of water flowing through the channel and is represented as Qec = (((dpipe^7)*(Cds*I*hAvghead))/(((0.215))*((f*P*PA))))^(1/3) or 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). Pipe Diameter for Weiris the diameter of the pipe in which the liquid is flowing, 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, The Darcy Friction Factor is a dimensionless parameter used to describe the resistance to fluid flow in pipes or channels, 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.
How to calculate Discharge for Most Economical Pipe Diameter for Distribution System?
The Discharge for most economical pipe diameter for distribution system is defined as amount of water flowing through the channel is calculated using 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). To calculate Discharge for Most Economical Pipe Diameter for Distribution System, you need Pipe Diameter for Weir (dpipe), Cost for Distribution System (Cds), Initial Investment (I), Average Head (hAvghead), Darcy Friction Factor (f), Hydroelectric Power (P) & Allowable Unit Stress (PA). With our tool, you need to enter the respective value for Pipe Diameter for Weir, Cost for Distribution System, Initial Investment, Average Head, Darcy Friction Factor, Hydroelectric Power & Allowable Unit Stress 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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