Diameter of Particle given Particle Reynold's Number Calculator

✖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%
✖Reynold Number refers to a dimensionless quantity that measures the ratio of inertial forces to viscous forces in fluid flow.ⓘ Reynold Number [Re]			+10% -10%
✖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%
✖Settling Velocity of particles refers to the rate at which a particle sinks through a fluid under the influence of gravity.ⓘ Settling Velocity of Particles [v_s]			+10% -10%

✖The Diameter of a Spherical Particle is the distance across the sphere, passing through its center.ⓘ Diameter of Particle given Particle Reynold's Number [d]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Diameter of Sediment Particle Formulas PDF PDF Image

Diameter of Particle given Particle Reynold's Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of a Spherical Particle = (Dynamic Viscosity*Reynold Number)/(Mass Density of Fluid*Settling Velocity of Particles)
d = (μ_viscosity*Re)/(ρ_f*v_s)
This formula uses 5 Variables

Variables Used

Diameter of a Spherical Particle - (Measured in Meter) - The Diameter of a Spherical Particle is the distance across the sphere, passing through its center.
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.
Reynold Number - Reynold Number refers to a dimensionless quantity that measures the ratio of inertial forces to viscous forces in fluid flow.
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 of Particles - (Measured in Meter per Second) - Settling Velocity of particles refers to the rate at which a particle sinks through a fluid under the influence of gravity.

STEP 1: Convert Input(s) to Base Unit

Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Reynold Number: 0.02 --> No Conversion Required
Mass Density of Fluid: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required
Settling Velocity of Particles: 0.0016 Meter per Second --> 0.0016 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = (μ_viscosity*Re)/(ρ_f*v_s) --> (1.02*0.02)/(1000*0.0016)

Evaluating ... ...

d = 0.01275

STEP 3: Convert Result to Output's Unit

0.01275 Meter --> No Conversion Required

FINAL ANSWER

0.01275 Meter <-- Diameter of a Spherical Particle

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Environmental Engineering » Treatment of Water 1 Sedimentation » Diameter of Sediment Particle » Diameter of Particle given 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!

< Diameter of Sediment Particle Calculators

Diameter of Particle given Settling Velocity

LaTeX Go Diameter of a Spherical Particle = (3*Drag Coefficient*Mass Density of Fluid*Settling Velocity of Particles^2)/(4*[g]*(Mass Density of Particles-Mass Density of Fluid))

Diameter of Particle given Settling Velocity with respect to Specific Gravity

LaTeX Go Diameter of a Spherical Particle = (3*Drag Coefficient*Settling Velocity of Particles^2)/(4*[g]*(Specific Gravity of Spherical Particle-1))

Diameter of Particle given Particle Reynold's Number

LaTeX Go Diameter of a Spherical Particle = (Dynamic Viscosity*Reynold Number)/(Mass Density of Fluid*Settling Velocity of Particles)

Diameter of Particle given Volume of Particle

LaTeX Go Diameter of a Spherical Particle = (6*Volume of One Particle/pi)^(1/3)

Diameter of Particle given Particle Reynold's Number Formula

LaTeX Go

Diameter of a Spherical Particle = (Dynamic Viscosity*Reynold Number)/(Mass Density of Fluid*Settling Velocity of Particles)
d = (μ_viscosity*Re)/(ρ_f*v_s)

What is Reynolds number?

The Reynolds number for an object moving in a fluid, called the particle Reynolds number and often denoted Rep, characterizes the nature of the surrounding flow and its fall velocity.

How to Calculate Diameter of Particle given Particle Reynold's Number?

Diameter of Particle given Particle Reynold's Number calculator uses Diameter of a Spherical Particle = (Dynamic Viscosity*Reynold Number)/(Mass Density of Fluid*Settling Velocity of Particles) to calculate the Diameter of a Spherical Particle, The Diameter of Particle given Particle Reynold's Number is defined as the calculation of a particle's diameter based on the Reynolds number for a particle moving through a fluid. Diameter of a Spherical Particle is denoted by d symbol.

How to calculate Diameter of Particle given Particle Reynold's Number using this online calculator? To use this online calculator for Diameter of Particle given Particle Reynold's Number, enter Dynamic Viscosity (μ_viscosity), Reynold Number (Re), Mass Density of Fluid (ρ_f) & Settling Velocity of Particles (v_s) and hit the calculate button. Here is how the Diameter of Particle given Particle Reynold's Number calculation can be explained with given input values -> 0.01275 = (1.02*0.02)/(1000*0.0016).

FAQ

What is Diameter of Particle given Particle Reynold's Number?

The Diameter of Particle given Particle Reynold's Number is defined as the calculation of a particle's diameter based on the Reynolds number for a particle moving through a fluid and is represented as d = (μ_viscosity*Re)/(ρ_f*v_s) or Diameter of a Spherical Particle = (Dynamic Viscosity*Reynold Number)/(Mass Density of Fluid*Settling Velocity of Particles). 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, Reynold Number refers to a dimensionless quantity that measures the ratio of inertial forces to viscous forces in fluid flow, 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 of particles refers to the rate at which a particle sinks through a fluid under the influence of gravity.

How to calculate Diameter of Particle given Particle Reynold's Number?

The Diameter of Particle given Particle Reynold's Number is defined as the calculation of a particle's diameter based on the Reynolds number for a particle moving through a fluid is calculated using Diameter of a Spherical Particle = (Dynamic Viscosity*Reynold Number)/(Mass Density of Fluid*Settling Velocity of Particles). To calculate Diameter of Particle given Particle Reynold's Number, you need Dynamic Viscosity (μ_viscosity), Reynold Number (Re), Mass Density of Fluid (ρ_f) & Settling Velocity of Particles (v_s). With our tool, you need to enter the respective value for Dynamic Viscosity, Reynold Number, Mass Density of Fluid & Settling Velocity of Particles and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Diameter of a Spherical Particle?

In this formula, Diameter of a Spherical Particle uses Dynamic Viscosity, Reynold Number, Mass Density of Fluid & Settling Velocity of Particles. We can use 3 other way(s) to calculate the same, which is/are as follows -

Diameter of a Spherical Particle = (6*Volume of One Particle/pi)^(1/3)
Diameter of a Spherical Particle = (3*Drag Coefficient*Mass Density of Fluid*Settling Velocity of Particles^2)/(4*[g]*(Mass Density of Particles-Mass Density of Fluid))
Diameter of a Spherical Particle = (3*Drag Coefficient*Settling Velocity of Particles^2)/(4*[g]*(Specific Gravity of Spherical Particle-1))

Home

FREE PDFs

🔍 Search