Average Height of Irregularities for Turbulent Flow in Pipes Calculator

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Forces and Dynamics

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Properties of Surfaces and Solids

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Dynamics of Fluid Flow

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Turbulent Flow

Boundary Layer Flow

Kinematics of Flow

✖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 [v']			+10% -10%
✖The Roughness Reynold Number is considered in a turbulent flow.ⓘ Roughness Reynold Number [Re]			+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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Formula

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Average Height of Irregularities for Turbulent Flow in Pipes

Formula

`"k" = ("v'"*"Re")/"V"_{"'"}`

Example

`"0.001208m"=("7.25St"*"10")/"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 = (Kinematic Viscosity*Roughness Reynold Number)/Shear Velocity
k = (v'*Re)/V_'
This formula uses 4 Variables

Variables Used

Average Height Irregularities - (Measured in Meter) - The Average height irregularities are 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.
Roughness Reynold Number - The Roughness Reynold Number is considered in a turbulent flow.
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

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k = (v'*Re)/V_' --> (0.000725*10)/6

Evaluating ... ...

k = 0.00120833333333333

STEP 3: Convert Result to Output's Unit

0.00120833333333333 Meter --> No Conversion Required

FINAL ANSWER

0.00120833333333333 ≈ 0.001208 Meter <-- Average Height Irregularities

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Forces and Dynamics » Dynamics of Fluid Flow » Turbulent Flow » Average Height of Irregularities for Turbulent Flow in Pipes

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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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 = (Kinematic Viscosity*Roughness Reynold Number)/Shear Velocity

Roughness Reynold Number for Turbulent Flow in Pipes

Go Roughness Reynold Number = (Average Height Irregularities*Shear Velocity)/Kinematic Viscosity

Mean Velocity given Centreline Velocity

Go Mean Velocity = Centreline Velocity/(1.43*sqrt(1+Friction Factor))

Centreline Velocity

Go Centreline Velocity = 1.43*Mean Velocity*sqrt(1+Friction Factor)

Shear Stress in Turbulent Flow

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

Shear Velocity given Mean Velocity

Go Shear Velocity 1 = 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)

Shear Velocity given Centreline Velocity

Go Shear Velocity 1 = (Centreline Velocity-Mean Velocity)/3.75

Centreline Velocity given Shear and Mean Velocity

Go Centreline Velocity = 3.75*Shear Velocity+Mean Velocity

Mean Velocity given Shear Velocity

Go Mean Velocity = 3.75*Shear Velocity-Centreline Velocity

Shear Stress Developed for Turbulent Flow in Pipes

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

Shear Stress due to Viscosity

Go Shear Stress = Viscosity*Change in Velocity

Frictional Factor given Reynolds Number

Go Friction Factor = 0.0032+0.221/(Roughness Reynold Number^0.237)

Blasius Equation

Go Friction Factor = (0.316)/(Roughness Reynold Number^(1/4))

Average Height of Irregularities for Turbulent Flow in Pipes Formula

Average Height Irregularities = (Kinematic Viscosity*Roughness Reynold Number)/Shear Velocity
k = (v'*Re)/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 = (Kinematic Viscosity*Roughness Reynold Number)/Shear Velocity to calculate the Average Height Irregularities, Average Height of Irregularities for Turbulent Flow in Pipes, also known as the roughness height or roughness coefficient, is a parameter used to describe the surface roughness of a pipe. In turbulent flow conditions, the presence of irregularities on the inner surface of a pipe affects the flow characteristics. 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 Kinematic Viscosity (v'), Roughness Reynold Number (Re) & 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 = (0.000725*10)/6.

FAQ

What is Average Height of Irregularities for Turbulent Flow in Pipes?

Average Height of Irregularities for Turbulent Flow in Pipes, also known as the roughness height or roughness coefficient, is a parameter used to describe the surface roughness of a pipe. In turbulent flow conditions, the presence of irregularities on the inner surface of a pipe affects the flow characteristics and is represented as k = (v'*Re)/V_' or Average Height Irregularities = (Kinematic Viscosity*Roughness Reynold Number)/Shear Velocity. The kinematic Viscosity is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid, The Roughness Reynold Number is considered in a turbulent flow & 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?

Average Height of Irregularities for Turbulent Flow in Pipes, also known as the roughness height or roughness coefficient, is a parameter used to describe the surface roughness of a pipe. In turbulent flow conditions, the presence of irregularities on the inner surface of a pipe affects the flow characteristics is calculated using Average Height Irregularities = (Kinematic Viscosity*Roughness Reynold Number)/Shear Velocity. To calculate Average Height of Irregularities for Turbulent Flow in Pipes, you need Kinematic Viscosity (v'), Roughness Reynold Number (Re) & Shear Velocity (V_'). With our tool, you need to enter the respective value for Kinematic Viscosity, Roughness Reynold Number & 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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