Initial Investment for Most Economical Pipe Diameter of Distribution System Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
I = (0.215)*((f*(Qec^3)*P*PA)/(Cds*(dpipe^7)*hAvghead))
This formula uses 8 Variables
Variables Used
Initial Investment - The initial investment is the amount required to start a business or a project.
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.
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
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
I = (0.215)*((f*(Qec^3)*P*PA)/(Cds*(dpipe^7)*hAvghead)) --> (0.215)*((0.5*(0.16^3)*170*50000000)/(1223*(1.01^7)*1.51))
Evaluating ... ...
I = 1890.31559443638
STEP 3: Convert Result to Output's Unit
1890.31559443638 --> No Conversion Required
FINAL ANSWER
1890.31559443638 1890.316 <-- Initial Investment
(Calculation completed in 00.020 seconds)

Credits

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Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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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)

Initial Investment for Most Economical Pipe Diameter of Distribution System Formula

​LaTeX ​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))
I = (0.215)*((f*(Qec^3)*P*PA)/(Cds*(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 Initial Investment for Most Economical Pipe Diameter of Distribution System?

Initial Investment for Most Economical Pipe Diameter of Distribution System calculator uses 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)) to calculate the Initial Investment, The Initial Investment for Most economical pipe diameter of distribution system is defined as total yearly costing on the pipe. Initial Investment is denoted by I symbol.

How to calculate Initial Investment for Most Economical Pipe Diameter of Distribution System using this online calculator? To use this online calculator for Initial Investment for Most Economical Pipe Diameter of Distribution System, enter Darcy Friction Factor (f), Discharge for Economical Pipe (Qec), Hydroelectric Power (P), Allowable Unit Stress (PA), Cost for Distribution System (Cds), Pipe Diameter for Weir (dpipe) & Average Head (hAvghead) and hit the calculate button. Here is how the Initial Investment for Most Economical Pipe Diameter of Distribution System calculation can be explained with given input values -> 1890.316 = (0.215)*((0.5*(0.16^3)*170*50000000)/(1223*(1.01^7)*1.51)).

FAQ

What is Initial Investment for Most Economical Pipe Diameter of Distribution System?
The Initial Investment for Most economical pipe diameter of distribution system is defined as total yearly costing on the pipe and is represented as I = (0.215)*((f*(Qec^3)*P*PA)/(Cds*(dpipe^7)*hAvghead)) or 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)). 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 & Average Head is defined as level of water flowing in pipe at different points.
How to calculate Initial Investment for Most Economical Pipe Diameter of Distribution System?
The Initial Investment for Most economical pipe diameter of distribution system is defined as total yearly costing on the pipe is calculated using 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)). To calculate Initial Investment for 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), Cost for Distribution System (Cds), 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, Cost for Distribution System, 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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