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Diameter of Pipe for Difference in Pressure in Viscous Flow Formula

GoDiameter of Pipe for Loss of Pressure Head 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 o \cdot v a \cdot L}{Δp}}

D_p - Diameter of Pipe?μ_o - Viscosity of Oil?v_a - Average Velocity?L - Length of Pipe?Δp - Pressure Difference in Viscous Flow?

Diameter of Pipe for Difference in Pressure in Viscous Flow Example

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

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

4.7442 = \sqrt{\frac{32 \cdot 30 \cdot 6.5 \cdot 3}{831.7133}}

4.7442m = \sqrt{\frac{32 \cdot 30N*s/m² \cdot 6.5m/s \cdot 3m}{831.7133N/m²}}

4.7442 = \sqrt{\frac{32 \cdot 30 \cdot 6.5 \cdot 3}{831.7133}}

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Diameter of Pipe for Difference in Pressure in Viscous Flow Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

D p = \sqrt{\frac{32 \cdot 30N*s/m² \cdot 6.5m/s \cdot 3m}{831.7133N/m²}}

Next Step Convert Units

∴

D p = \sqrt{\frac{32 \cdot 30Pa*s \cdot 6.5m/s \cdot 3m}{831.7133Pa}}

Next Step Prepare to Evaluate

∴

D p = \sqrt{\frac{32 \cdot 30 \cdot 6.5 \cdot 3}{831.7133}}

Next Step Evaluate

∴

D p = 4.74423397166828m

LAST Step Rounding Answer

∴

D p = 4.7442m

Diameter of Pipe for Difference in Pressure in Viscous Flow Formula Elements

Variables

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 Oil

The Viscosity of Oil is considered in the viscous or laminar flow.

Symbol: μ_o

Measurement: Dynamic ViscosityUnit: N*s/m²

Note: Value can be positive or negative.

Formulas to find Viscosity of Oil

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

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

Pressure Difference in Viscous Flow

The Pressure Difference in Viscous Flow or the laminar flow is known to find the difference between initial and final pressure.

Symbol: Δp

Measurement: PressureUnit: N/m²

Note: Value can be positive or negative.

Formulas to find Pressure Difference in Viscous Flow

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 Loss of Pressure Head in Viscous Flow

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

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 Difference in Pressure in Viscous Flow?

Diameter of Pipe for Difference in Pressure in Viscous Flow evaluator uses Diameter of Pipe = sqrt((32*Viscosity of Oil*Average Velocity*Length of Pipe)/(Pressure Difference in Viscous Flow)) to evaluate the Diameter of Pipe, Diameter of Pipe for Difference in Pressure in Viscous Flow with a given pressure difference can be determined using the Hagen-Poiseuille equation. This relationship states that the flow rate of a fluid through a cylindrical pipe is directly proportional to the fourth power of the pipe's diameter, the pressure difference between the ends of the pipe, and inversely proportional to the fluid's viscosity and the pipe's length. Diameter of Pipe is denoted by D_p symbol.

How to evaluate Diameter of Pipe for Difference in Pressure in Viscous Flow using this online evaluator? To use this online evaluator for Diameter of Pipe for Difference in Pressure in Viscous Flow, enter Viscosity of Oil (μ_o), Average Velocity (v_a), Length of Pipe (L) & Pressure Difference in Viscous Flow (Δp) and hit the calculate button.

FAQs on Diameter of Pipe for Difference in Pressure in Viscous Flow

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

The formula of Diameter of Pipe for Difference in Pressure in Viscous Flow is expressed as Diameter of Pipe = sqrt((32*Viscosity of Oil*Average Velocity*Length of Pipe)/(Pressure Difference in Viscous Flow)). Here is an example- 1.231423 = sqrt((32*30*6.5*3)/(831.7133)).

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

With Viscosity of Oil (μ_o), Average Velocity (v_a), Length of Pipe (L) & Pressure Difference in Viscous Flow (Δp) we can find Diameter of Pipe for Difference in Pressure in Viscous Flow using the formula - Diameter of Pipe = sqrt((32*Viscosity of Oil*Average Velocity*Length of Pipe)/(Pressure Difference in Viscous Flow)). This formula also uses 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 Fluid*Velocity of Fluid*Length of Pipe)/(Density of Liquid*[g]*Loss of Peizometric Head))
Diameter of Pipe=(4*Coefficient of Friction*Length of Pipe*Average Velocity^2)/(Loss of Head*2*[g])

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

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

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

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

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Diameter of Pipe for Difference in Pressure in Viscous Flow Formula

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

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

Diameter of Pipe for Difference in Pressure in Viscous Flow Example

Diameter of Pipe for Difference in Pressure in Viscous Flow Solution

Diameter of Pipe for Difference in Pressure 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 Difference in Pressure in Viscous Flow?

FAQs on Diameter of Pipe for Difference in Pressure in Viscous Flow

Variable Name

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

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