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Diameter of Pipe for Head Loss due to Friction in Viscous Flow Formula

GoDiameter of Pipe for Difference in Pressure in Viscous Flow Formula

GoDiameter of Pipe for Loss of Pressure Head in Viscous Flow Formula

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Diameter of Pipe is the length of the longest chord of the pipe in which the liquid is flowing. Check FAQs

D p = \frac{4 \cdot μ f \cdot L \cdot {v a}^{2}}{h L \cdot 2 \cdot [g]}

D_p - Diameter of Pipe?μ_f - Coefficient of Friction?L - Length of Pipe?v_a - Average Velocity?h_L - Loss of Head?[g] - Gravitational acceleration on Earth?

Diameter of Pipe for Head Loss due to Friction in Viscous Flow Example

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Here is how the Diameter of Pipe for Head Loss due to Friction in Viscous Flow equation looks like with Values.

Here is how the Diameter of Pipe for Head Loss due to Friction in Viscous Flow equation looks like with Units.

Here is how the Diameter of Pipe for Head Loss due to Friction in Viscous Flow equation looks like.

1.2023 = \frac{4 \cdot 0.4 \cdot 3 \cdot {6.5}^{2}}{8.6 \cdot 2 \cdot 9.8066}

1.2023m = \frac{4 \cdot 0.4 \cdot 3m \cdot {6.5m/s}^{2}}{8.6m \cdot 2 \cdot 9.8066m/s²}

1.2023 = \frac{4 \cdot 0.4 \cdot 3 \cdot {6.5}^{2}}{8.6 \cdot 2 \cdot 9.8066}

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Diameter of Pipe for Head Loss due to Friction in Viscous Flow Solution

Follow our step by step solution on how to calculate Diameter of Pipe for Head Loss due to Friction in Viscous Flow?

FIRST Step Consider the formula

D p = \frac{4 \cdot μ f \cdot L \cdot {v a}^{2}}{h L \cdot 2 \cdot [g]}

Next Step Substitute values of Variables

∴

D p = \frac{4 \cdot 0.4 \cdot 3m \cdot {6.5m/s}^{2}}{8.6m \cdot 2 \cdot [g]}

Next Step Substitute values of Constants

∴

D p = \frac{4 \cdot 0.4 \cdot 3m \cdot {6.5m/s}^{2}}{8.6m \cdot 2 \cdot 9.8066m/s²}

Next Step Prepare to Evaluate

∴

D p = \frac{4 \cdot 0.4 \cdot 3 \cdot {6.5}^{2}}{8.6 \cdot 2 \cdot 9.8066}

Next Step Evaluate

∴

D p = 1.20231655809258m

LAST Step Rounding Answer

∴

D p = 1.2023m

Diameter of Pipe for Head Loss due to Friction in Viscous Flow Formula Elements

Variables

Constants

Diameter of Pipe

Diameter of Pipe is the length of the longest chord of the pipe in which the liquid is flowing.

Symbol: D_p

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Pipe

Coefficient of Friction

The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.

Symbol: μ_f

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Coefficient of Friction

Length of Pipe

Length of Pipe refers to the distance between two points along the pipe's axis. It is a fundamental parameter used to describe the size and layout of a piping system.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Pipe

Average Velocity

Average Velocity is defined as the mean of all different velocities.

Symbol: v_a

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Average Velocity

Loss of Head

Loss of Head due to sudden enlargement turbulent eddies are formed at the corner of the enlargement of the pipe section.

Symbol: h_L

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Loss of Head

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Other Formulas to find Diameter of Pipe

Go Diameter of Pipe for Difference in Pressure in Viscous Flow

D p = \sqrt{\frac{32 \cdot μ o \cdot v a \cdot L}{Δp}}

Go Diameter of Pipe for Loss of Pressure Head in Viscous Flow

D p = \sqrt{\frac{32 \cdot μ \cdot V \cdot L}{ρ \cdot [g] \cdot h f}}

Other formulas in Dimensions and Geometry category

Go Diameter of Pipe from Maximum Velocity and Velocity at Any Radius

d o = \frac{2 \cdot r}{\sqrt{1 - \frac{V}{V m}}}

Go Length for Difference of Pressure in Viscous Flow between Two Parallel Plates

L = \frac{Δp \cdot t^{2}}{12 \cdot μ \cdot V}

Go Length for Pressure Head Loss in Viscous Flow between Two Parallel Plates

L = \frac{ρ \cdot [g] \cdot h f \cdot t^{2}}{12 \cdot μ \cdot V}

Go Diameter of Shaft for Torque Required in Foot-Step Bearing

D s = 2 \cdot {(\frac{τ \cdot t}{π^{2} \cdot μ \cdot N})}^{\frac{1}{4}}

How to Evaluate Diameter of Pipe for Head Loss due to Friction in Viscous Flow?

Diameter of Pipe for Head Loss due to Friction in Viscous Flow evaluator uses Diameter of Pipe = (4*Coefficient of Friction*Length of Pipe*Average Velocity^2)/(Loss of Head*2*[g]) to evaluate the Diameter of Pipe, Diameter of Pipe for Head Loss due to Friction in Viscous Flow can be determined using the Darcy-Weisbach equation. This relationship indicates that head loss due to friction is directly proportional to the length of the pipe, the fluid velocity squared, and the friction factor, and inversely proportional to the pipe diameter. Diameter of Pipe is denoted by D_p symbol.

How to evaluate Diameter of Pipe for Head Loss due to Friction in Viscous Flow using this online evaluator? To use this online evaluator for Diameter of Pipe for Head Loss due to Friction in Viscous Flow, enter Coefficient of Friction (μ_f), Length of Pipe (L), Average Velocity (v_a) & Loss of Head (h_L) and hit the calculate button.

FAQs on Diameter of Pipe for Head Loss due to Friction in Viscous Flow

What is the formula to find Diameter of Pipe for Head Loss due to Friction in Viscous Flow?

The formula of Diameter of Pipe for Head Loss due to Friction in Viscous Flow is expressed as Diameter of Pipe = (4*Coefficient of Friction*Length of Pipe*Average Velocity^2)/(Loss of Head*2*[g]). Here is an example- 1.202317 = (4*0.4*3*6.5^2)/(8.6*2*[g]).

How to calculate Diameter of Pipe for Head Loss due to Friction in Viscous Flow?

With Coefficient of Friction (μ_f), Length of Pipe (L), Average Velocity (v_a) & Loss of Head (h_L) we can find Diameter of Pipe for Head Loss due to Friction in Viscous Flow using the formula - Diameter of Pipe = (4*Coefficient of Friction*Length of Pipe*Average Velocity^2)/(Loss of Head*2*[g]). This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Diameter of Pipe?

Here are the different ways to Calculate Diameter of Pipe-

Diameter of Pipe=sqrt((32*Viscosity of Oil*Average Velocity*Length of Pipe)/(Pressure Difference in Viscous Flow))
Diameter of Pipe=sqrt((32*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Density of Liquid*[g]*Loss of Peizometric Head))

Can the Diameter of Pipe for Head Loss due to Friction in Viscous Flow be negative?

No, the Diameter of Pipe for Head Loss due to Friction in Viscous Flow, measured in Length cannot be negative.

Which unit is used to measure Diameter of Pipe for Head Loss due to Friction in Viscous Flow?

Diameter of Pipe for Head Loss due to Friction in Viscous Flow is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Diameter of Pipe for Head Loss due to Friction in Viscous Flow can be measured.

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Diameter of Pipe for Head Loss due to Friction in Viscous Flow Formula

​GoDiameter of Pipe for Difference in Pressure in Viscous Flow Formula

​GoDiameter of Pipe for Loss of Pressure Head in Viscous Flow Formula

Diameter of Pipe for Head Loss due to Friction in Viscous Flow Example

Diameter of Pipe for Head Loss due to Friction in Viscous Flow Solution

Diameter of Pipe for Head Loss due to Friction in Viscous Flow Formula Elements

Other Formulas to find Diameter of Pipe

Other formulas in Dimensions and Geometry category

How to Evaluate Diameter of Pipe for Head Loss due to Friction in Viscous Flow?

FAQs on Diameter of Pipe for Head Loss due to Friction in Viscous Flow

Variable Name

GoDiameter of Pipe for Difference in Pressure in Viscous Flow Formula

GoDiameter of Pipe for Loss of Pressure Head in Viscous Flow Formula