Roughness Reynold number for turbulent flow in pipes Calculator

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✖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 irregularities [k]			+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%

✖The Roughness reynold number is considered in a turbulent flow.ⓘ Roughness Reynold number for turbulent flow in pipes [R_e]

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has created this Calculator and 300+ more calculators!

Verified by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

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Roughness Reynold number for turbulent flow in pipes Solution

STEP 0: Pre-Calculation Summary

Formula Used

Roughness reynold number = (Shear Velocity*Average height irregularities)/Kinematic viscosity
R_e = (V_**k)/ν
This formula uses 3 Variables

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Shear Velocity: 10 Meter per Second --> 10 Meter per Second No Conversion Required
Average height irregularities: 10 Meter --> 10 Meter No Conversion Required
Kinematic viscosity: 7.25 Stokes --> 0.000725 Meter² per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_e = (V_**k)/ν --> (10*10)/0.000725

Evaluating ... ...

R_e = 137931.034482759

STEP 3: Convert Result to Output's Unit

137931.034482759 --> No Conversion Required

FINAL ANSWER

137931.034482759 <-- Roughness reynold number

(Calculation completed in 00.031 seconds)

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Roughness Reynold number for turbulent flow in pipes

< 10+ Turbulent flow Calculators

Head loss due to friction for power required and discharge in turbulent flow

Head loss due to friction = (Power*1000)/(Density of Fluid*[g]*Discharge) Go

Discharge through pipe for power required and head loss in turbulent flow

Discharge = (Power*1000)/(Density of Fluid*[g]*Head loss due to friction) Go

Power required to maintain the turbulent flow

Power = (Density of Fluid*[g]*Discharge*Head loss due to friction)/1000 Go

Average height of irregularities for turbulent flow in pipes

Average height irregularities = (Roughness reynold number*Kinematic viscosity)/Shear Velocity Go

Roughness Reynold number for turbulent flow in pipes

Roughness reynold number = (Shear Velocity*Average height irregularities)/Kinematic viscosity Go

Shear stress in turbulent flow

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

Shear velocity for turbulent flow in pipes

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

Boundary layer thickness of laminar sublayer

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

Shear stress due to viscosity

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

Shear stress developed for turbulent flow in pipes

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

Roughness Reynold number for turbulent flow in pipes Formula

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

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 = (Shear Velocity*Average height irregularities)/Kinematic viscosity to calculate the Roughness reynold number, The Roughness Reynold number for turbulent flow in pipes formula is known while considering the shear velocity, average height of irregularities, and the kinematic viscosity. Roughness reynold number is denoted by R_e 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 Shear Velocity (V_*), Average height irregularities (k) & Kinematic viscosity (ν) 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 -> 137931 = (10*10)/0.000725.

FAQ

What is Roughness Reynold number for turbulent flow in pipes?

The Roughness Reynold number for turbulent flow in pipes formula is known while considering the shear velocity, average height of irregularities, and the kinematic viscosity and is represented as R_e = (V_**k)/ν or Roughness reynold number = (Shear Velocity*Average height irregularities)/Kinematic viscosity. Shear velocity, also called friction velocity, is a form by which a shear stress may be re-written in units of velocity, The Average height irregularities are 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.

How to calculate Roughness Reynold number for turbulent flow in pipes?

The Roughness Reynold number for turbulent flow in pipes formula is known while considering the shear velocity, average height of irregularities, and the kinematic viscosity is calculated using Roughness reynold number = (Shear Velocity*Average height irregularities)/Kinematic viscosity. To calculate Roughness Reynold number for turbulent flow in pipes, you need Shear Velocity (V_*), Average height irregularities (k) & Kinematic viscosity (ν). With our tool, you need to enter the respective value for Shear Velocity, Average height irregularities & 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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