## 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 4 Variables
Variables Used
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.
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.
STEP 1: Convert Input(s) to Base Unit
Shear Velocity: 6 Meter per Second --> 6 Meter per Second No Conversion Required
Average Height Irregularities: 0.000725 Meter --> 0.000725 Meter 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 = (V**k)/ν --> (6*0.000725)/0.000725
Evaluating ... ...
Re = 6
STEP 3: Convert Result to Output's Unit
6 --> No Conversion Required
6 <-- Roughness reynold number
(Calculation completed in 00.016 seconds)
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PSG College of Technology (PSGCT), Coimbatore
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Indian Institute of Technology (IIT), Bombay
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## < 10+ Turbulent Flow Calculators

Head Loss due to Friction given Power Required in Turbulent Flow

## Head Loss due to Friction given Power Required in Turbulent Flow

Formula
"h"_{"f"} = "P"/("ρ"_{"Fluid"}*"[g]"*"Q")

Example
"14.15116m"="170W"/("1.225kg/m³"*"[g]"*"1m³/s")

Calculator
LaTeX
Head loss due to friction = Power/(Density of Fluid*[g]*Discharge)
Discharge through Pipe given Head Loss in Turbulent Flow

## Discharge through Pipe given Head Loss in Turbulent Flow

Formula
"Q" = "P"/("ρ"_{"Fluid"}*"[g]"*"h"_{"f"})

Example
"1.010797m³/s"="170W"/("1.225kg/m³"*"[g]"*"14m")

Calculator
LaTeX
Discharge = Power/(Density of Fluid*[g]*Head loss due to friction)
Power Required to Maintain Turbulent Flow

## Power Required to Maintain Turbulent Flow

Formula
"P" = "ρ"_{"Fluid"}*"[g]"*"Q"*"h"_{"f"}

Example
"168.184W"="1.225kg/m³"*"[g]"*"1m³/s"*"14m"

Calculator
LaTeX
Power = Density of Fluid*[g]*Discharge*Head loss due to friction
Average height of irregularities for turbulent flow in pipes

## Average height of irregularities for turbulent flow in pipes

Formula
"k" = ("R"_{"e"}*"ν")/"V"_{"*"}

Example
"0.001208m"=("10"*"7.25St")/"6m/s"

Calculator
LaTeX
Average Height Irregularities = (Roughness reynold number*Kinematic viscosity)/Shear Velocity
Roughness Reynold number for turbulent flow in pipes

## Roughness Reynold number for turbulent flow in pipes

Formula
"R"_{"e"} = ("V"_{"*"}*"k")/"ν"

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

Calculator
LaTeX
Roughness reynold number = (Shear Velocity*Average Height Irregularities)/Kinematic viscosity
Shear stress in turbulent flow

## Shear stress in turbulent flow

Formula
"𝜏" = ("f"*"ρ"_{"Fluid"}*"v"^2)/2

Example
"1323Pa"=("0.6"*"1.225kg/m³"*"60m/s"^2)/2

Calculator
LaTeX
Shear Stress = (Friction factor*Density of Fluid*Velocity^2)/2
Shear velocity for turbulent flow in pipes

## Shear velocity for turbulent flow in pipes

Formula
"V"_{"*"} = sqrt("𝜏"/"ρ"_{"Fluid"})

Example
"6.388766m/s"=sqrt("50Pa"/"1.225kg/m³")

Calculator
LaTeX
Shear Velocity = sqrt(Shear Stress/Density of Fluid)
Boundary layer thickness of laminar sublayer

## Boundary layer thickness of laminar sublayer

Formula
"δ" = (11.6*"ν")/("V"_{"*"})

Example
"0.001402m"=(11.6*"7.25St")/("6m/s")

Calculator
LaTeX
Boundary layer thickness = (11.6*Kinematic viscosity)/(Shear Velocity)
Shear stress due to viscosity

## Shear stress due to viscosity

Formula
"𝜏" = ("μ"_{"viscosity"}*"dv")

Example
"20.4Pa"=("10.2P"*"20m/s")

Calculator
LaTeX
Shear Stress = (Dynamic Viscosity*Change in Velocity)
Shear stress developed for turbulent flow in pipes

## Shear stress developed for turbulent flow in pipes

Formula
"𝜏" = ("V"_{"*"}^2)*"ρ"_{"Fluid"}

Example
"44.1Pa"=("6m/s"^2)*"1.225kg/m³"

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

## 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 -> 6 = (6*0.000725)/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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