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

GoDiameter of Pipe for Difference in Pressure in Viscous Flow Formula

GoDiameter of Pipe for Head Loss due to Friction 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 = \sqrt{\frac{32 \cdot μ \cdot V \cdot L}{ρ \cdot [g] \cdot h f}}

D_p - Diameter of Pipe?μ - Viscosity of Fluid?V - Velocity of Fluid?L - Length of Pipe?ρ - Density of Liquid?h_f - Loss of Peizometric Head?[g] - Gravitational acceleration on Earth?

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

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

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

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

7.5496 = \sqrt{\frac{32 \cdot 8.23 \cdot 60 \cdot 3}{984.6633 \cdot 9.8066 \cdot 0.0861}}

7.5496m = \sqrt{\frac{32 \cdot 8.23N*s/m² \cdot 60m/s \cdot 3m}{984.6633kg/m³ \cdot 9.8066m/s² \cdot 0.0861m}}

7.5496 = \sqrt{\frac{32 \cdot 8.23 \cdot 60 \cdot 3}{984.6633 \cdot 9.8066 \cdot 0.0861}}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

D p = \sqrt{\frac{32 \cdot 8.23N*s/m² \cdot 60m/s \cdot 3m}{984.6633kg/m³ \cdot [g] \cdot 0.0861m}}

Next Step Substitute values of Constants

∴

D p = \sqrt{\frac{32 \cdot 8.23N*s/m² \cdot 60m/s \cdot 3m}{984.6633kg/m³ \cdot 9.8066m/s² \cdot 0.0861m}}

Next Step Convert Units

∴

D p = \sqrt{\frac{32 \cdot 8.23Pa*s \cdot 60m/s \cdot 3m}{984.6633kg/m³ \cdot 9.8066m/s² \cdot 0.0861m}}

Next Step Prepare to Evaluate

∴

D p = \sqrt{\frac{32 \cdot 8.23 \cdot 60 \cdot 3}{984.6633 \cdot 9.8066 \cdot 0.0861}}

Next Step Evaluate

∴

D p = 7.54961282814966m

LAST Step Rounding Answer

∴

D p = 7.5496m

Diameter of Pipe for Loss of Pressure Head in Viscous Flow Formula Elements

Variables

Constants

Functions

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

Viscosity of Fluid

The Viscosity of fluid is a measure of its resistance to deformation at a given rate.

Symbol: μ

Measurement: Dynamic ViscosityUnit: N*s/m²

Note: Value can be positive or negative.

Formulas to find Viscosity of Fluid

Velocity of Fluid

Velocity of Fluid refers to the speed at which the fluid particles are moving in a particular direction.

Symbol: V

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity of Fluid

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

Density of Liquid

Density of Liquid refers to its mass per unit volume. It is a measure of how tightly packed the molecules are within the liquid and is typically denoted by the symbol ρ (rho).

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Liquid

Loss of Peizometric Head

Loss of Peizometric Head is considered in the viscous flow through circular pipe.

Symbol: h_f

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Loss of Peizometric 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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

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 Head Loss due to Friction in Viscous Flow

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

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 Loss of Pressure Head in Viscous Flow?

Diameter of Pipe for Loss of Pressure Head in Viscous Flow evaluator uses Diameter of Pipe = sqrt((32*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Density of Liquid*[g]*Loss of Peizometric Head)) to evaluate the Diameter of Pipe, Diameter of Pipe for Loss of Pressure Head in Viscous Flow can be determined using the Darcy-Weisbach equation. This relationship states that the loss of pressure head due to friction is directly proportional to the length of the pipe, the square of the flow velocity, 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 Loss of Pressure Head in Viscous Flow using this online evaluator? To use this online evaluator for Diameter of Pipe for Loss of Pressure Head in Viscous Flow, enter Viscosity of Fluid (μ), Velocity of Fluid (V), Length of Pipe (L), Density of Liquid (ρ) & Loss of Peizometric Head (h_f) and hit the calculate button.

FAQs on Diameter of Pipe for Loss of Pressure Head in Viscous Flow

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

The formula of Diameter of Pipe for Loss of Pressure Head in Viscous Flow is expressed as Diameter of Pipe = sqrt((32*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Density of Liquid*[g]*Loss of Peizometric Head)). Here is an example- 1.809095 = sqrt((32*8.23*60*3)/(984.6633*[g]*0.086132)).

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

With Viscosity of Fluid (μ), Velocity of Fluid (V), Length of Pipe (L), Density of Liquid (ρ) & Loss of Peizometric Head (h_f) we can find Diameter of Pipe for Loss of Pressure Head in Viscous Flow using the formula - Diameter of Pipe = sqrt((32*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Density of Liquid*[g]*Loss of Peizometric Head)). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(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=(4*Coefficient of Friction*Length of Pipe*Average Velocity^2)/(Loss of Head*2*[g])

Can the Diameter of Pipe for Loss of Pressure Head in Viscous Flow be negative?

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

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

Diameter of Pipe for Loss of Pressure Head 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 Loss of Pressure Head in Viscous Flow can be measured.

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

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

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

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

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

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

FAQs on Diameter of Pipe for Loss of Pressure Head in Viscous Flow

Variable Name

GoDiameter of Pipe for Difference in Pressure in Viscous Flow Formula

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