## 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 = (Re*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 = (Re*ν)/V* --> (10*0.000725)/6
Evaluating ... ...
k = 0.00120833333333333
STEP 3: Convert Result to Output's Unit
0.00120833333333333 Meter --> No Conversion Required
0.00120833333333333 Meter <-- Average Height Irregularities
(Calculation completed in 00.016 seconds)
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## Credits

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
Head loss due to friction = Power/(Density of Fluid*[g]*Discharge)
Discharge through Pipe given Head Loss in Turbulent Flow
Discharge = Power/(Density of Fluid*[g]*Head loss due to friction)
Power Required to Maintain Turbulent Flow
Power = Density of Fluid*[g]*Discharge*Head loss due to friction
Average height of irregularities for turbulent flow in pipes
Average Height Irregularities = (Roughness reynold number*Kinematic viscosity)/Shear Velocity
Roughness Reynold number for turbulent flow in pipes
Roughness reynold number = (Shear Velocity*Average Height Irregularities)/Kinematic viscosity
Mean Velocity given Centreline Velocity
Mean velocity = Centreline velocity/(1.43*sqrt(Friction factor+1))
Centreline velocity
Centreline velocity = (Mean velocity*1.43*sqrt(Friction factor+1))
Shear stress in turbulent flow
Shear Stress = (Friction factor*Density of Fluid*Velocity^2)/2
Shear Velocity given Mean Velocity
Shear Velocity = Mean velocity*(sqrt(Friction factor/8))
Shear velocity for turbulent flow in pipes
Shear Velocity = sqrt(Shear Stress/Density of Fluid)
Boundary layer thickness of laminar sublayer
Boundary layer thickness = (11.6*Kinematic viscosity)/(Shear Velocity)
Centreline Velocity given Shear and Mean Velocity
Centreline velocity = (3.75*Shear Velocity)+Mean velocity
Shear Velocity given Centreline Velocity
Shear Velocity = (Centreline velocity-Mean velocity)/3.75
Mean Velocity given Shear Velocity
Mean velocity = Centreline velocity-(3.75*Shear Velocity)
Shear stress due to viscosity
Shear Stress = (Dynamic Viscosity*Change in Velocity)
Shear stress developed for turbulent flow in pipes
Shear Stress = (Shear Velocity^2)*Density of Fluid
Frictional Factor given Reynolds number
Friction factor = (0.0032+(0.221/(Reynolds Number^0.237)))
Blasius equation
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 = (Re*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 (Re), 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 = (Re*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 (Re), 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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