Cost given Most Economical Pipe Diameter of Distribution System Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
Cds = 0.215*((f*(Qec^3)*P*PA)/(I*(dpipe^7)*hAvghead))
This formula uses 8 Variables
Variables Used
Cost for Distribution System - Cost for Distribution System indicates the price associated with the making of the product.
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.
Initial Investment - The initial investment is the amount required to start a business or a project.
Pipe Diameter for Weir - (Measured in Meter) - Pipe Diameter for Weiris the diameter of the pipe in which the liquid is flowing.
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)
Initial Investment: 1890 --> No Conversion Required
Pipe Diameter for Weir: 1.01 Meter --> 1.01 Meter No Conversion Required
Average Head: 1.51 Meter --> 1.51 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Cds = 0.215*((f*(Qec^3)*P*PA)/(I*(dpipe^7)*hAvghead)) --> 0.215*((0.5*(0.16^3)*170*50000000)/(1890*(1.01^7)*1.51))
Evaluating ... ...
Cds = 1223.20421798714
STEP 3: Convert Result to Output's Unit
1223.20421798714 --> No Conversion Required
FINAL ANSWER
1223.20421798714 1223.204 <-- Cost for Distribution System
(Calculation completed in 00.004 seconds)

Credits

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Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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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)

Cost given Most Economical Pipe Diameter of Distribution System Formula

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

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 Cost given Most Economical Pipe Diameter of Distribution System?

Cost given Most Economical Pipe Diameter of Distribution System calculator uses 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)) to calculate the Cost for Distribution System, The Cost given Most economical pipe diameter of distribution system is defined as cost of maintenance and laying. Cost for Distribution System is denoted by Cds symbol.

How to calculate Cost given Most Economical Pipe Diameter of Distribution System using this online calculator? To use this online calculator for Cost given Most Economical Pipe Diameter of Distribution System, enter Darcy Friction Factor (f), Discharge for Economical Pipe (Qec), Hydroelectric Power (P), Allowable Unit Stress (PA), Initial Investment (I), Pipe Diameter for Weir (dpipe) & Average Head (hAvghead) and hit the calculate button. Here is how the Cost given Most Economical Pipe Diameter of Distribution System calculation can be explained with given input values -> 1155.928 = 0.215*((0.5*(0.16^3)*170*50000000)/(1890*(1.01^7)*1.51)).

FAQ

What is Cost given Most Economical Pipe Diameter of Distribution System?
The Cost given Most economical pipe diameter of distribution system is defined as cost of maintenance and laying and is represented as Cds = 0.215*((f*(Qec^3)*P*PA)/(I*(dpipe^7)*hAvghead)) or 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)). 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, The initial investment is the amount required to start a business or a project, Pipe Diameter for Weiris the diameter of the pipe in which the liquid is flowing & Average Head is defined as level of water flowing in pipe at different points.
How to calculate Cost given Most Economical Pipe Diameter of Distribution System?
The Cost given Most economical pipe diameter of distribution system is defined as cost of maintenance and laying is calculated using 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)). To calculate Cost given Most Economical Pipe Diameter of Distribution System, you need Darcy Friction Factor (f), Discharge for Economical Pipe (Qec), Hydroelectric Power (P), Allowable Unit Stress (PA), Initial Investment (I), Pipe Diameter for Weir (dpipe) & Average Head (hAvghead). With our tool, you need to enter the respective value for Darcy Friction Factor, Discharge for Economical Pipe, Hydroelectric Power, Allowable Unit Stress, Initial Investment, Pipe Diameter for Weir & 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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