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

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The Darcy Friction Factor is a dimensionless parameter used to describe the resistance to fluid flow in pipes or channels. Check FAQs

f = \frac{({d pipe}^{7}) \cdot (C ds \cdot I \cdot h Avghead)}{0.215 \cdot ((({Q ec}^{3}) \cdot P \cdot PA))}

f - Darcy Friction Factor?d_pipe - Pipe Diameter for Weir?C_ds - Cost for Distribution System?I - Initial Investment?h_Avghead - Average Head?Q_ec - Discharge for Economical Pipe?P - Hydroelectric Power?PA - Allowable Unit Stress?

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

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Here is how the Darcy Weisbach Friction Factor for Most Economical Pipe Diameter for Distribution System equation looks like with Values.

Here is how the Darcy Weisbach Friction Factor for Most Economical Pipe Diameter for Distribution System equation looks like with Units.

Here is how the Darcy Weisbach Friction Factor for Most Economical Pipe Diameter for Distribution System equation looks like.

0.4999 = \frac{({1.01}^{7}) \cdot (1223 \cdot 1890 \cdot 1.51)}{0.215 \cdot ((({0.16}^{3}) \cdot 170 \cdot 50))}

0.4999 = \frac{({1.01m}^{7}) \cdot (1223 \cdot 1890 \cdot 1.51m)}{0.215 \cdot ((({0.16m³/s}^{3}) \cdot 170W \cdot 50N/mm²))}

0.4999 = \frac{({1.01}^{7}) \cdot (1223 \cdot 1890 \cdot 1.51)}{0.215 \cdot ((({0.16}^{3}) \cdot 170 \cdot 50))}

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Home » Engineering » Civil » Hydraulics and Waterworks » Darcy Weisbach Friction Factor for Most Economical Pipe Diameter for Distribution System

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

Follow our step by step solution on how to calculate Darcy Weisbach Friction Factor for Most Economical Pipe Diameter for Distribution System?

FIRST Step Consider the formula

f = \frac{({d pipe}^{7}) \cdot (C ds \cdot I \cdot h Avghead)}{0.215 \cdot ((({Q ec}^{3}) \cdot P \cdot PA))}

Next Step Substitute values of Variables

∴

f = \frac{({1.01m}^{7}) \cdot (1223 \cdot 1890 \cdot 1.51m)}{0.215 \cdot ((({0.16m³/s}^{3}) \cdot 170W \cdot 50N/mm²))}

Next Step Convert Units

∴

f = \frac{({1.01m}^{7}) \cdot (1223 \cdot 1890 \cdot 1.51m)}{0.215 \cdot ((({0.16m³/s}^{3}) \cdot 170W \cdot 5E+7Pa))}

Next Step Prepare to Evaluate

∴

f = \frac{({1.01}^{7}) \cdot (1223 \cdot 1890 \cdot 1.51)}{0.215 \cdot ((({0.16}^{3}) \cdot 170 \cdot 5E+7))}

Next Step Evaluate

∴

f = 0.499916523347396

LAST Step Rounding Answer

∴

f = 0.4999

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

Variables

Darcy Friction Factor

The Darcy Friction Factor is a dimensionless parameter used to describe the resistance to fluid flow in pipes or channels.

Symbol: f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Pipe Diameter for Weir

Pipe Diameter for Weiris the diameter of the pipe in which the liquid is flowing.

Symbol: d_pipe

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Cost for Distribution System

Cost for Distribution System indicates the price associated with the making of the product.

Symbol: C_ds

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Initial Investment

The initial investment is the amount required to start a business or a project.

Symbol: I

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Average Head

Average Head is defined as level of water flowing in pipe at different points.

Symbol: h_Avghead

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Discharge for Economical Pipe

Discharge for Economical Pipe is the discharge calculated from the most Economical Pipe.

Symbol: Q_ec

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Hydroelectric Power

Hydroelectric Power is electricity generated by the flow of water through turbines, harnessing the energy of falling or flowing water.

Symbol: P

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Allowable Unit Stress

Allowable Unit Stress is the maximum load or stress allowed per unit area of the column.

Symbol: PA

Measurement: PressureUnit: N/mm²

Note: Value can be positive or negative.

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Formula and 1300+ more formulas!

Verified by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has verified this Formula and 700+ more formulas!

Other formulas in Most Economical Pipe category

Go Most Economical Pipe Diameter for Distribution System of Water

d pipe = 0.215 \cdot {(\frac{f \cdot ({Q ec}^{3}) \cdot P \cdot PA}{C ds \cdot I \cdot h Avghead})}^{\frac{1}{7}}

Go Average Power for Most Economical Pipe Diameter for Distribution System

P = \frac{({d pipe}^{7}) \cdot (C ds \cdot I \cdot h Avghead)}{0.215 \cdot ((({Q ec}^{3}) \cdot f \cdot PA))}

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

Darcy Weisbach Friction Factor for Most Economical Pipe Diameter for Distribution System evaluator 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 evaluate 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 evaluate Darcy Weisbach Friction Factor for Most Economical Pipe Diameter for Distribution System using this online evaluator? To use this online evaluator for Darcy Weisbach Friction Factor for Most Economical Pipe Diameter for Distribution System, enter Pipe Diameter for Weir (d_pipe), Cost for Distribution System (C_ds), Initial Investment (I), Average Head (h_Avghead), Discharge for Economical Pipe (Q_ec), Hydroelectric Power (P) & Allowable Unit Stress (PA) and hit the calculate button.

FAQs on Darcy Weisbach Friction Factor for Most Economical Pipe Diameter for Distribution System

What is the formula to find Darcy Weisbach Friction Factor for Most Economical Pipe Diameter for Distribution System?

The formula of Darcy Weisbach Friction Factor for Most Economical Pipe Diameter for Distribution System is expressed as 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))). Here is an example- 0.529012 = ((1.01^7)*(1223*1890*1.51))/(0.215*(((0.16^3)*170*50000000))).

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

With Pipe Diameter for Weir (d_pipe), Cost for Distribution System (C_ds), Initial Investment (I), Average Head (h_Avghead), Discharge for Economical Pipe (Q_ec), Hydroelectric Power (P) & Allowable Unit Stress (PA) we can find Darcy Weisbach Friction Factor for Most Economical Pipe Diameter for Distribution System using the formula - 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))).

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

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

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

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

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Other formulas in Most Economical Pipe category

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

FAQs on Darcy Weisbach Friction Factor for Most Economical Pipe Diameter for Distribution System

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