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 a dimensionless number used in fluid dynamics to characterize the influence of surface roughness on flow behavior.
Average Height Irregularities - (Measured in Meter) - The Average height irregularities refer to the variations in the height of flow passages, blades, or other critical components of a turbine, averaged over a specific measurement area or length.
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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Turbulent Flow Calculators

Average Height of Irregularities for Turbulent Flow in Pipes
​ LaTeX ​ Go Average Height Irregularities = (Kinematic Viscosity*Roughness Reynold Number)/Shear Velocity
Roughness Reynold Number for Turbulent Flow in Pipes
​ LaTeX ​ Go Roughness Reynold Number = (Average Height Irregularities*Shear Velocity)/Kinematic Viscosity
Shear Velocity for Turbulent Flow in Pipes
​ LaTeX ​ Go Shear Velocity = sqrt(Shear Stress/Density of Fluid)
Shear Stress Developed for Turbulent Flow in Pipes
​ LaTeX ​ Go Shear Stress = Density of Fluid*Shear Velocity^2

Roughness Reynold Number for Turbulent Flow in Pipes Formula

​LaTeX ​Go
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 refer to the variations in the height of flow passages, blades, or other critical components of a turbine, averaged over a specific measurement area or length, 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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