Roughness Reynold Number 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 Average height irregularities are considered in a turbulent flow.ⓘ Average Height Irregularities [k]			+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 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 for Turbulent Flow in Pipes [Re]

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Roughness Reynold Number for Turbulent Flow in Pipes

Formula

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

Example

`"6"=("0.000725m"*"6m/s")/"7.25St"`

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Roughness Reynold Number for Turbulent Flow in Pipes Solution

STEP 0: Pre-Calculation Summary

Formula Used

Roughness Reynold Number = (Average Height Irregularities*Shear Velocity)/Kinematic Viscosity
Re = (k*V_')/v'
This formula uses 4 Variables

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Average Height Irregularities: 0.000725 Meter --> 0.000725 Meter No Conversion Required
Shear Velocity: 6 Meter per Second --> 6 Meter per Second No Conversion Required
Kinematic Viscosity: 7.25 Stokes --> 0.000725 Square Meter per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

Re = 6

STEP 3: Convert Result to Output's Unit

6 --> No Conversion Required

FINAL ANSWER

6 <-- Roughness Reynold Number

(Calculation completed in 00.004 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 = (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))

Roughness Reynold Number for Turbulent Flow in Pipes Formula

Roughness Reynold Number = (Average Height Irregularities*Shear Velocity)/Kinematic Viscosity
Re = (k*V_')/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 Roughness Reynold Number for Turbulent Flow in Pipes?

Roughness Reynold Number for Turbulent Flow in Pipes calculator uses Roughness Reynold Number = (Average Height Irregularities*Shear Velocity)/Kinematic Viscosity to calculate the Roughness Reynold Number, Roughness Reynold Number for Turbulent Flow in Pipes also known as the Reynolds roughness number (Re_ks), is a dimensionless parameter used to characterize the relative importance of pipe wall roughness in turbulent flow conditions. Roughness Reynold Number is denoted by Re symbol.

How to calculate Roughness Reynold Number for Turbulent Flow in Pipes using this online calculator? To use this online calculator for Roughness Reynold Number for Turbulent Flow in Pipes, enter Average Height Irregularities (k), Shear Velocity (V_') & Kinematic Viscosity (v') and hit the calculate button. Here is how the Roughness Reynold Number for Turbulent Flow in Pipes calculation can be explained with given input values -> 6 = (0.000725*6)/0.000725.

FAQ

What is Roughness Reynold Number for Turbulent Flow in Pipes?

Roughness Reynold Number for Turbulent Flow in Pipes also known as the Reynolds roughness number (Re_ks), is a dimensionless parameter used to characterize the relative importance of pipe wall roughness in turbulent flow conditions and is represented as Re = (k*V_')/v' or Roughness Reynold Number = (Average Height Irregularities*Shear Velocity)/Kinematic Viscosity. The Average height irregularities are 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 & The kinematic Viscosity is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid.

How to calculate Roughness Reynold Number for Turbulent Flow in Pipes?

Roughness Reynold Number for Turbulent Flow in Pipes also known as the Reynolds roughness number (Re_ks), is a dimensionless parameter used to characterize the relative importance of pipe wall roughness in turbulent flow conditions is calculated using Roughness Reynold Number = (Average Height Irregularities*Shear Velocity)/Kinematic Viscosity. To calculate Roughness Reynold Number for Turbulent Flow in Pipes, you need Average Height Irregularities (k), Shear Velocity (V_') & Kinematic Viscosity (v'). With our tool, you need to enter the respective value for Average Height Irregularities, Shear Velocity & Kinematic Viscosity 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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