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

STEP 0: Pre-Calculation Summary
Formula Used
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)))
f = ((dpipe^7)*(Cds*I*hAvghead))/(0.215*(((Qec^3)*P*PA)))
This formula uses 8 Variables
Variables Used
Darcy Friction Factor - The Darcy Friction Factor is a dimensionless parameter used to describe the resistance to fluid flow in pipes or channels.
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.
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.
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
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)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
f = ((dpipe^7)*(Cds*I*hAvghead))/(0.215*(((Qec^3)*P*PA))) --> ((1.01^7)*(1223*1890*1.51))/(0.215*(((0.16^3)*170*50000000)))
Evaluating ... ...
f = 0.499916523347396
STEP 3: Convert Result to Output's Unit
0.499916523347396 --> No Conversion Required
FINAL ANSWER
0.499916523347396 0.499917 <-- Darcy Friction Factor
(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 Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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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)

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

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

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

Darcy Weisbach Friction Factor for Most Economical Pipe Diameter for Distribution System calculator uses 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))) to calculate the Darcy Friction Factor, The Darcy Weisbach friction factor for most economical pipe diameter for distribution system is an empirical equation, which relates the head loss, or pressure loss, due to friction along a given length of pipe to the average velocity of the fluid flow for an incompressible fluid. Darcy Friction Factor is denoted by f symbol.

How to calculate Darcy Weisbach Friction Factor for Most Economical Pipe Diameter for Distribution System using this online calculator? To use this online calculator for Darcy Weisbach Friction Factor 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), Discharge for Economical Pipe (Qec), Hydroelectric Power (P) & Allowable Unit Stress (PA) and hit the calculate button. Here is how the Darcy Weisbach Friction Factor for Most Economical Pipe Diameter for Distribution System calculation can be explained with given input values -> 0.529012 = ((1.01^7)*(1223*1890*1.51))/(0.215*(((0.16^3)*170*50000000))).

FAQ

What is Darcy Weisbach Friction Factor for Most Economical Pipe Diameter for Distribution System?
The Darcy Weisbach friction factor for most economical pipe diameter for distribution system is an empirical equation, which relates the head loss, or pressure loss, due to friction along a given length of pipe to the average velocity of the fluid flow for an incompressible fluid and is represented as f = ((dpipe^7)*(Cds*I*hAvghead))/(0.215*(((Qec^3)*P*PA))) or 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))). 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, 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.
How to calculate Darcy Weisbach Friction Factor for Most Economical Pipe Diameter for Distribution System?
The Darcy Weisbach friction factor for most economical pipe diameter for distribution system is an empirical equation, which relates the head loss, or pressure loss, due to friction along a given length of pipe to the average velocity of the fluid flow for an incompressible fluid is calculated using 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))). To calculate Darcy Weisbach Friction Factor 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), Discharge for Economical Pipe (Qec), 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, Discharge for Economical Pipe, 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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