Average height of irregularities for turbulent flow in pipes Calculator

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✖The Roughness reynold number is considered in a turbulent flow.ⓘ Roughness reynold number [R_e]			+10% -10%
✖The kinematic viscosity is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid.ⓘ Kinematic viscosity [ν]			+10% -10%
✖Shear velocity, also called friction velocity, is a form by which a shear stress may be re-written in units of velocity.ⓘ Shear Velocity [V_*]			+10% -10%

✖The Average height irregularities are considered in a turbulent flow.ⓘ Average height of irregularities for turbulent flow in pipes [k]

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Average height of irregularities for turbulent flow in pipes

Formula

`"k" = ("R"_{"e"}*"ν")/"V"_{"*"}`

Example

`"0.001208m"=("10"*"7.25St")/"6m/s"`

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Average height of irregularities for turbulent flow in pipes Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Height Irregularities = (Roughness reynold number*Kinematic viscosity)/Shear Velocity
k = (R_e*ν)/V_*
This formula uses 4 Variables

Variables Used

Average Height Irregularities - (Measured in Meter) - The Average height irregularities are considered in a turbulent flow.
Roughness reynold number - The Roughness reynold number is considered in a turbulent flow.
Kinematic viscosity - (Measured in Square Meter per Second) - The kinematic viscosity is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid.
Shear Velocity - (Measured in Meter per Second) - Shear velocity, also called friction velocity, is a form by which a shear stress may be re-written in units of velocity.

STEP 1: Convert Input(s) to Base Unit

Roughness reynold number: 10 --> No Conversion Required
Kinematic viscosity: 7.25 Stokes --> 0.000725 Square Meter per Second (Check conversion here)
Shear Velocity: 6 Meter per Second --> 6 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k = (R_e*ν)/V_* --> (10*0.000725)/6

Evaluating ... ...

k = 0.00120833333333333

STEP 3: Convert Result to Output's Unit

0.00120833333333333 Meter --> No Conversion Required

FINAL ANSWER

0.00120833333333333 Meter <-- Average Height Irregularities

(Calculation completed in 00.016 seconds)

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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Indian Institute of Technology (IIT), Bombay

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< 18 Turbulent Flow Calculators

Head Loss due to Friction given Power Required in Turbulent Flow

Go Head loss due to friction = Power/(Density of Fluid*[g]*Discharge)

Discharge through Pipe given Head Loss in Turbulent Flow

Go Discharge = Power/(Density of Fluid*[g]*Head loss due to friction)

Power Required to Maintain Turbulent Flow

Go Power = Density of Fluid*[g]*Discharge*Head loss due to friction

Average height of irregularities for turbulent flow in pipes

Go Average Height Irregularities = (Roughness reynold number*Kinematic viscosity)/Shear Velocity

Roughness Reynold number for turbulent flow in pipes

Go Roughness reynold number = (Shear Velocity*Average Height Irregularities)/Kinematic viscosity

Mean Velocity given Centreline Velocity

Go Mean velocity = Centreline velocity/(1.43*sqrt(Friction factor+1))

Centreline velocity

Go Centreline velocity = (Mean velocity*1.43*sqrt(Friction factor+1))

Shear stress in turbulent flow

Go Shear Stress = (Friction factor*Density of Fluid*Velocity^2)/2

Shear Velocity given Mean Velocity

Go Shear Velocity = Mean velocity*(sqrt(Friction factor/8))

Shear velocity for turbulent flow in pipes

Go Shear Velocity = sqrt(Shear Stress/Density of Fluid)

Boundary layer thickness of laminar sublayer

Go Boundary layer thickness = (11.6*Kinematic viscosity)/(Shear Velocity)

Centreline Velocity given Shear and Mean Velocity

Go Centreline velocity = (3.75*Shear Velocity)+Mean velocity

Shear Velocity given Centreline Velocity

Go Shear Velocity = (Centreline velocity-Mean velocity)/3.75

Mean Velocity given Shear Velocity

Go Mean velocity = Centreline velocity-(3.75*Shear Velocity)

Shear stress due to viscosity

Go Shear Stress = (Dynamic Viscosity*Change in Velocity)

Shear stress developed for turbulent flow in pipes

Go Shear Stress = (Shear Velocity^2)*Density of Fluid

Frictional Factor given Reynolds number

Go Friction factor = (0.0032+(0.221/(Reynolds Number^0.237)))

Blasius equation

Go Friction factor = (0.316)/(Reynolds Number^(1/4))

Average height of irregularities for turbulent flow in pipes Formula

Average Height Irregularities = (Roughness reynold number*Kinematic viscosity)/Shear Velocity
k = (R_e*ν)/V_*

What is turbulent flow?

The turbulence or turbulent flow is fluid motion characterized by chaotic changes in pressure and flow velocity. It is in contrast to a laminar flow, which occurs when a fluid flows in parallel layers, with no disruption between those layers.

What is the difference between laminar flow and turbulent flow?

Laminar flow or streamline flow in pipes (or tubes) occurs when a fluid flows in parallel layers, with no disruption between the layers. Turbulent flow is a flow regime characterized by chaotic property changes. This includes a rapid variation of pressure and flows velocity in space and time.

How to Calculate Average height of irregularities for turbulent flow in pipes?

Average height of irregularities for turbulent flow in pipes calculator uses Average Height Irregularities = (Roughness reynold number*Kinematic viscosity)/Shear Velocity to calculate the Average Height Irregularities, The Average height of irregularities for turbulent flow in pipes formula is known while considering the shear velocity, roughness reynold number, and the kinematic viscosity. Average Height Irregularities is denoted by k symbol.

How to calculate Average height of irregularities for turbulent flow in pipes using this online calculator? To use this online calculator for Average height of irregularities for turbulent flow in pipes, enter Roughness reynold number (R_e), Kinematic viscosity (ν) & Shear Velocity (V_*) and hit the calculate button. Here is how the Average height of irregularities for turbulent flow in pipes calculation can be explained with given input values -> 0.001208 = (10*0.000725)/6.

FAQ

What is Average height of irregularities for turbulent flow in pipes?

The Average height of irregularities for turbulent flow in pipes formula is known while considering the shear velocity, roughness reynold number, and the kinematic viscosity and is represented as k = (R_e*ν)/V_* or Average Height Irregularities = (Roughness reynold number*Kinematic viscosity)/Shear Velocity. The Roughness reynold number is considered in a turbulent flow, The kinematic viscosity is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid & Shear velocity, also called friction velocity, is a form by which a shear stress may be re-written in units of velocity.

How to calculate Average height of irregularities for turbulent flow in pipes?

The Average height of irregularities for turbulent flow in pipes formula is known while considering the shear velocity, roughness reynold number, and the kinematic viscosity is calculated using Average Height Irregularities = (Roughness reynold number*Kinematic viscosity)/Shear Velocity. To calculate Average height of irregularities for turbulent flow in pipes, you need Roughness reynold number (R_e), Kinematic viscosity (ν) & Shear Velocity (V_*). With our tool, you need to enter the respective value for Roughness reynold number, Kinematic viscosity & Shear Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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