Diameter of Particle given Particle Reynold's Number Calculator

✖The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity [μ_viscosity]			+10% -10%
✖Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities.ⓘ Reynolds Number [Re]			+10% -10%
✖Liquid Density is mass per unit volume of the liquid.ⓘ Liquid Density [ρ_liquid]			+10% -10%
✖Settling velocity is defined as the terminal velocity of a particle in still fluid.ⓘ Settling Velocity [v_s]			+10% -10%

✖Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.ⓘ Diameter of Particle given Particle Reynold's Number [D]

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Formula

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Diameter of Particle given Particle Reynold's Number

Formula

`"D" = "μ"_{"viscosity"}*"Re"/("ρ"_{"liquid"}*"v"_{"s"})`

Example

`"69.38776m"="10.2P"*"5000"/("49kg/m³"*"1.5m/s")`

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Diameter of Particle given Particle Reynold's Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter = Dynamic Viscosity*Reynolds Number/(Liquid Density*Settling Velocity)
D = μ_viscosity*Re/(ρ_liquid*v_s)
This formula uses 5 Variables

Variables Used

Diameter - (Measured in Meter) - Diameter is a 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 of a fluid is the measure of its resistance to flow when an external force is applied.
Reynolds Number - Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities.
Liquid Density - (Measured in Kilogram per Cubic Meter) - Liquid Density is mass per unit volume of the liquid.
Settling Velocity - (Measured in Meter per Second) - Settling velocity is defined as the terminal velocity of a particle in still fluid.

STEP 1: Convert Input(s) to Base Unit

Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Reynolds Number: 5000 --> No Conversion Required
Liquid Density: 49 Kilogram per Cubic Meter --> 49 Kilogram per Cubic Meter No Conversion Required
Settling Velocity: 1.5 Meter per Second --> 1.5 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = μ_viscosity*Re/(ρ_liquid*v_s) --> 1.02*5000/(49*1.5)

Evaluating ... ...

D = 69.3877551020408

STEP 3: Convert Result to Output's Unit

69.3877551020408 Meter --> No Conversion Required

FINAL ANSWER

69.3877551020408 ≈ 69.38776 Meter <-- Diameter

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Treatment of Water 1: Sedimentation » Diameter of Sediment Particle » Diameter of Particle given Particle Reynold's Number

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 13 Diameter of Sediment Particle Calculators

Diameter of Particle given Settling Velocity

Go Effective Particle Diameter = 3*Drag Coefficient*Liquid Density*Settling Velocity^2/(4*[g]*(Density of Particle-Liquid Density))

Diameter for Settling Velocity with respect to Kinematic Viscosity

Go Diameter = sqrt(Settling Velocity*18*Kinematic Viscosity/[g]*(Specific gravity of particle-Specific Gravity of Fluid))

Diameter given Settling Velocity in Fahrenheit

Go Diameter = sqrt(Settling Velocity/418*(Specific gravity of particle-Specific Gravity of Fluid)*((Outside Temperature+10)/60))

Diameter given Settling Velocity with respect to Dynamic Viscosity

Go Diameter = sqrt(18*Settling Velocity*Dynamic Viscosity/[g]*(Mass Density-Liquid Density))

Diameter given Settling Velocity given Celsius

Go Diameter = sqrt(Settling Velocity*100/418*(Specific gravity of particle-Specific Gravity of Fluid)*(3*Temperature+70))

Diameter given Displacement Velocity by Camp

Go Diameter = Displacement velocity^2*Darcy Friction Factor/(8*Beta Constant*[g]*(Density of Particle-1))

Diameter given temperature given Celsius for diameter greater than 0.1mm

Go Diameter = Settling Velocity*100/418*(Specific gravity of particle-Specific Gravity of Fluid)*(3*Temperature in Fahrenheit+70)

Diameter given Specific Gravity of Particle and Viscosity

Go Diameter = sqrt(Settling Velocity*Kinematic Viscosity*18/[g]*(Specific gravity of particle-1))

Diameter given temperature given Fahrenheit

Go Diameter = Settling Velocity*60/418*(Specific gravity of particle-Specific Gravity of Fluid)*(Temperature in Fahrenheit+10)

Diameter given Settling Velocity at 10 degree Celsius

Go Diameter = sqrt(Settling Velocity/418*(Specific gravity of particle-Specific Gravity of Fluid))

Diameter of Particle given Settling Velocity with respect to Specific Gravity

Go Diameter = (3*Drag Coefficient*Settling Velocity^2)/(4*[g]*(Specific gravity of particle-1))

Diameter of Particle given Particle Reynold's Number

Go Diameter = Dynamic Viscosity*Reynolds Number/(Liquid Density*Settling Velocity)

Diameter of Particle given Volume of Particle

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

Diameter of Particle given Particle Reynold's Number Formula

Diameter = Dynamic Viscosity*Reynolds Number/(Liquid Density*Settling Velocity)
D = μ_viscosity*Re/(ρ_liquid*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 = Dynamic Viscosity*Reynolds Number/(Liquid Density*Settling Velocity) to calculate the Diameter, The Diameter of Particle given Particle Reynold's Number is defined as any straight line segment that passes through Centre of circle and whose endpoints lie on circle. Diameter 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), Reynolds Number (Re), Liquid Density (ρ_liquid) & Settling Velocity (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 -> 69.38776 = 1.02*5000/(49*1.5).

FAQ

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

The Diameter of Particle given Particle Reynold's Number is defined as any straight line segment that passes through Centre of circle and whose endpoints lie on circle and is represented as D = μ_viscosity*Re/(ρ_liquid*v_s) or Diameter = Dynamic Viscosity*Reynolds Number/(Liquid Density*Settling Velocity). The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied, Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities, Liquid Density is mass per unit volume of the liquid & Settling velocity is defined as the terminal velocity of a particle in still fluid.

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

The Diameter of Particle given Particle Reynold's Number is defined as any straight line segment that passes through Centre of circle and whose endpoints lie on circle is calculated using Diameter = Dynamic Viscosity*Reynolds Number/(Liquid Density*Settling Velocity). To calculate Diameter of Particle given Particle Reynold's Number, you need Dynamic Viscosity (μ_viscosity), Reynolds Number (Re), Liquid Density (ρ_liquid) & Settling Velocity (v_s). With our tool, you need to enter the respective value for Dynamic Viscosity, Reynolds Number, Liquid Density & Settling Velocity 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?

In this formula, Diameter uses Dynamic Viscosity, Reynolds Number, Liquid Density & Settling Velocity. We can use 11 other way(s) to calculate the same, which is/are as follows -

Diameter = (6*Volume of One Particle/pi)^(1/3)
Diameter = (3*Drag Coefficient*Settling Velocity^2)/(4*[g]*(Specific gravity of particle-1))
Diameter = sqrt(18*Settling Velocity*Dynamic Viscosity/[g]*(Mass Density-Liquid Density))
Diameter = sqrt(Settling Velocity*18*Kinematic Viscosity/[g]*(Specific gravity of particle-Specific Gravity of Fluid))
Diameter = sqrt(Settling Velocity*Kinematic Viscosity*18/[g]*(Specific gravity of particle-1))
Diameter = sqrt(Settling Velocity/418*(Specific gravity of particle-Specific Gravity of Fluid))
Diameter = sqrt(Settling Velocity/418*(Specific gravity of particle-Specific Gravity of Fluid)*((Outside Temperature+10)/60))
Diameter = sqrt(Settling Velocity*100/418*(Specific gravity of particle-Specific Gravity of Fluid)*(3*Temperature+70))
Diameter = Settling Velocity*60/418*(Specific gravity of particle-Specific Gravity of Fluid)*(Temperature in Fahrenheit+10)
Diameter = Settling Velocity*100/418*(Specific gravity of particle-Specific Gravity of Fluid)*(3*Temperature in Fahrenheit+70)
Diameter = Displacement velocity^2*Darcy Friction Factor/(8*Beta Constant*[g]*(Density of Particle-1))

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