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PSG College of Technology (PSGCT), Coimbatore
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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
Re = (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
Re = (V**k)/ν --> (10*10)/0.000725
Evaluating ... ...
Re = 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 Formula

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