Particle Reynold's Number Calculator

✖Mass Density of Fluid refers to the mass per unit volume of the fluid, typically expressed in kilograms per cubic meter (kg/m³).ⓘ Mass Density of Fluid [ρ_f]			+10% -10%
✖The Settling Velocity refers to the rate at which a particle suspended in a fluid (like water or air) falls under the influence of gravity until reaches a constant speed.ⓘ Settling Velocity [V_s]			+10% -10%
✖The Diameter refers to straight line passing from side to side through the center of a body or figure, especially a circle or sphere.ⓘ Diameter [D]			+10% -10%
✖The Dynamic Viscosity refers to the property of a fluid that quantifies its internal resistance to flow when subjected to an external force or shear stress.ⓘ Dynamic Viscosity [μ_viscosity]			+10% -10%

✖The Particle Reynolds number refers to the dynamics of the fluid flow around the particle.ⓘ Particle Reynold's Number [RE]

⎘ Copy

👎

Formula

✖

Particle Reynold's Number

Formula

RE = ρ f \cdot V s \cdot \frac{D}{μ viscosity}

Example

88.23529 = 1000 kg/m³ \cdot 1.5 m/s \cdot \frac{0.06 m}{10.2 P}

Calculator

LaTeX

Reset

👍

Download Environmental Engineering Formula PDF PDF Image

Particle Reynold's Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Particle Reynolds number = Mass Density of Fluid*Settling Velocity*Diameter/Dynamic Viscosity
RE = ρ_f*V_s*D/μ_viscosity
This formula uses 5 Variables

Variables Used

Particle Reynolds number - The Particle Reynolds number refers to the dynamics of the fluid flow around the particle.
Mass Density of Fluid - (Measured in Kilogram per Cubic Meter) - Mass Density of Fluid refers to the mass per unit volume of the fluid, typically expressed in kilograms per cubic meter (kg/m³).
Settling Velocity - (Measured in Meter per Second) - The Settling Velocity refers to the rate at which a particle suspended in a fluid (like water or air) falls under the influence of gravity until reaches a constant speed.
Diameter - (Measured in Meter) - The Diameter refers to straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the property of a fluid that quantifies its internal resistance to flow when subjected to an external force or shear stress.

STEP 1: Convert Input(s) to Base Unit

Mass Density of Fluid: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required
Settling Velocity: 1.5 Meter per Second --> 1.5 Meter per Second No Conversion Required
Diameter: 0.06 Meter --> 0.06 Meter No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

RE = ρ_f*V_s*D/μ_viscosity --> 1000*1.5*0.06/1.02

Evaluating ... ...

RE = 88.2352941176471

STEP 3: Convert Result to Output's Unit

88.2352941176471 --> No Conversion Required

FINAL ANSWER

88.2352941176471 ≈ 88.23529 <-- Particle Reynolds number

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Environmental Engineering » Treatment of Water 1 Sedimentation » Reynold's Number » Particle Reynold's Number

Credits

Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has created this Calculator and 500+ more calculators!

Verified by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has verified this Calculator and 500+ more calculators!

< Reynold's Number Calculators

Particle Reynold's Number

Go Particle Reynolds number = Mass Density of Fluid*Settling Velocity*Diameter/Dynamic Viscosity

Reynolds Number given General form of Drag Coefficient

Go Reynold Number = 24/Drag Coefficient

Particle Reynold's Number Formula

Particle Reynolds number = Mass Density of Fluid*Settling Velocity*Diameter/Dynamic Viscosity
RE = ρ_f*V_s*D/μ_viscosity

what is the use of reynolds number?

The Reynolds number is a dimensionless number which is used to differentiate between the turbulent and laminar flow of a pattern and predict how it will flow in different fluid situations

How to Calculate Particle Reynold's Number?

Particle Reynold's Number calculator uses Particle Reynolds number = Mass Density of Fluid*Settling Velocity*Diameter/Dynamic Viscosity to calculate the Particle Reynolds number, The Particle Reynold's Number characterizes the nature of the surrounding flow and its fall velocity. Particle Reynolds number is denoted by RE symbol.

How to calculate Particle Reynold's Number using this online calculator? To use this online calculator for Particle Reynold's Number, enter Mass Density of Fluid (ρ_f), Settling Velocity (V_s), Diameter (D) & Dynamic Viscosity (μ_viscosity) and hit the calculate button. Here is how the Particle Reynold's Number calculation can be explained with given input values -> 4.323529 = 1000*1.5*0.06/1.02.

FAQ

What is Particle Reynold's Number?

The Particle Reynold's Number characterizes the nature of the surrounding flow and its fall velocity and is represented as RE = ρ_f*V_s*D/μ_viscosity or Particle Reynolds number = Mass Density of Fluid*Settling Velocity*Diameter/Dynamic Viscosity. Mass Density of Fluid refers to the mass per unit volume of the fluid, typically expressed in kilograms per cubic meter (kg/m³), The Settling Velocity refers to the rate at which a particle suspended in a fluid (like water or air) falls under the influence of gravity until reaches a constant speed, The Diameter refers to straight line passing from side to side through the center of a body or figure, especially a circle or sphere & The Dynamic Viscosity refers to the property of a fluid that quantifies its internal resistance to flow when subjected to an external force or shear stress.

How to calculate Particle Reynold's Number?

The Particle Reynold's Number characterizes the nature of the surrounding flow and its fall velocity is calculated using Particle Reynolds number = Mass Density of Fluid*Settling Velocity*Diameter/Dynamic Viscosity. To calculate Particle Reynold's Number, you need Mass Density of Fluid (ρ_f), Settling Velocity (V_s), Diameter (D) & Dynamic Viscosity (μ_viscosity). With our tool, you need to enter the respective value for Mass Density of Fluid, Settling Velocity, Diameter & Dynamic Viscosity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search