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Most Economical Pipe Diameter for Distribution System of Water Formula

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

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}}

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

Most Economical Pipe Diameter for Distribution System of Water Example

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Here is how the Most Economical Pipe Diameter for Distribution System of Water equation looks like with Values.

Here is how the Most Economical Pipe Diameter for Distribution System of Water equation looks like with Units.

Here is how the Most Economical Pipe Diameter for Distribution System of Water equation looks like.

0.2705 = 0.215 \cdot {(\frac{0.5 \cdot ({0.16}^{3}) \cdot 170 \cdot 50}{1223 \cdot 1890 \cdot 1.51})}^{\frac{1}{7}}

0.2705m = 0.215 \cdot {(\frac{0.5 \cdot ({0.16m³/s}^{3}) \cdot 170W \cdot 50N/mm²}{1223 \cdot 1890 \cdot 1.51m})}^{\frac{1}{7}}

0.2705 = 0.215 \cdot {(\frac{0.5 \cdot ({0.16}^{3}) \cdot 170 \cdot 50}{1223 \cdot 1890 \cdot 1.51})}^{\frac{1}{7}}

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Most Economical Pipe Diameter for Distribution System of Water Solution

Follow our step by step solution on how to calculate Most Economical Pipe Diameter for Distribution System of Water?

FIRST Step Consider the formula

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}}

Next Step Substitute values of Variables

∴

d pipe = 0.215 \cdot {(\frac{0.5 \cdot ({0.16m³/s}^{3}) \cdot 170W \cdot 50N/mm²}{1223 \cdot 1890 \cdot 1.51m})}^{\frac{1}{7}}

Next Step Convert Units

∴

d pipe = 0.215 \cdot {(\frac{0.5 \cdot ({0.16m³/s}^{3}) \cdot 170W \cdot 5E+7Pa}{1223 \cdot 1890 \cdot 1.51m})}^{\frac{1}{7}}

Next Step Prepare to Evaluate

∴

d pipe = 0.215 \cdot {(\frac{0.5 \cdot ({0.16}^{3}) \cdot 170 \cdot 5E+7}{1223 \cdot 1890 \cdot 1.51})}^{\frac{1}{7}}

Next Step Evaluate

∴

d pipe = 0.270480603641181m

LAST Step Rounding Answer

∴

d pipe = 0.2705m

Most Economical Pipe Diameter for Distribution System of Water Formula Elements

Variables

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.

Formulas to find Pipe Diameter for Weir

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.

Formulas to find Darcy Friction Factor

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.

Formulas to find Discharge for Economical Pipe

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.

Formulas to find Hydroelectric Power

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.

Formulas to find Allowable Unit Stress

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.

Formulas to find Cost for Distribution System

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.

Formulas to find Initial Investment

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.

Formulas to find Average Head

Other formulas in Most Economical Pipe category

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

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

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 Most Economical Pipe Diameter for Distribution System of Water?

Most Economical Pipe Diameter for Distribution System of Water evaluator uses 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) to evaluate the Pipe Diameter for Weir, The Most economical pipe diameter for distribution system of water is defined as diameter of pipe which allows maximum discharge with minimum area and cost. Pipe Diameter for Weir is denoted by d_pipe symbol.

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

FAQs on Most Economical Pipe Diameter for Distribution System of Water

What is the formula to find Most Economical Pipe Diameter for Distribution System of Water?

The formula of Most Economical Pipe Diameter for Distribution System of Water is expressed as 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). Here is an example- 0.268304 = 0.215*((0.5*(0.16^3)*170*50000000)/(1223*1890*1.51))^(1/7).

How to calculate Most Economical Pipe Diameter for Distribution System of Water?

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

Can the Most Economical Pipe Diameter for Distribution System of Water be negative?

No, the Most Economical Pipe Diameter for Distribution System of Water, measured in Length cannot be negative.

Which unit is used to measure Most Economical Pipe Diameter for Distribution System of Water?

Most Economical Pipe Diameter for Distribution System of Water is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Most Economical Pipe Diameter for Distribution System of Water can be measured.

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Most Economical Pipe Diameter for Distribution System of Water Formula

Most Economical Pipe Diameter for Distribution System of Water Example

Most Economical Pipe Diameter for Distribution System of Water Solution

Most Economical Pipe Diameter for Distribution System of Water Formula Elements

Other formulas in Most Economical Pipe category

How to Evaluate Most Economical Pipe Diameter for Distribution System of Water?

FAQs on Most Economical Pipe Diameter for Distribution System of Water

Variable Name