Settling Velocity given Particle Reynold's Number Solution

STEP 0: Pre-Calculation Summary
Formula Used
Settling Velocity of Particles = (Dynamic Viscosity*Reynold Number)/(Mass Density of Fluid*Diameter of a Spherical Particle)
vs = (μviscosity*Re)/(ρf*d)
This formula uses 5 Variables
Variables Used
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.
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).
Diameter of a Spherical Particle - (Measured in Meter) - The Diameter of a Spherical Particle is the distance across the sphere, passing through its center.
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
Diameter of a Spherical Particle: 0.0013 Meter --> 0.0013 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
vs = (μviscosity*Re)/(ρf*d) --> (1.02*0.02)/(1000*0.0013)
Evaluating ... ...
vs = 0.0156923076923077
STEP 3: Convert Result to Output's Unit
0.0156923076923077 Meter per Second --> No Conversion Required
FINAL ANSWER
0.0156923076923077 0.015692 Meter per Second <-- Settling Velocity of Particles
(Calculation completed in 00.020 seconds)

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Meerut Institute of Engineering and Technology (MIET), Meerut
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Settling Velocity Calculators

Settling Velocity
​ LaTeX ​ Go Settling Velocity of Particles = sqrt((4*[g]*(Mass Density of Particles-Mass Density of Fluid)*Diameter of a Spherical Particle)/(3*Drag Coefficient*Mass Density of Fluid))
Settling Velocity with respect to Specific Gravity of Particle
​ LaTeX ​ Go Settling Velocity of Particles = sqrt((4*[g]*(Specific Gravity of Spherical Particle-1)*Diameter of a Spherical Particle)/(3*Drag Coefficient))
Settling Velocity given Frictional Drag
​ LaTeX ​ Go Settling Velocity of Particles = sqrt((2*Drag Force)/(Projected Area of A Particle*Drag Coefficient*Mass Density of Fluid))
Settling Velocity given Particle Reynold's Number
​ LaTeX ​ Go Settling Velocity of Particles = (Dynamic Viscosity*Reynold Number)/(Mass Density of Fluid*Diameter of a Spherical Particle)

Settling Velocity given Particle Reynold's Number Formula

​LaTeX ​Go
Settling Velocity of Particles = (Dynamic Viscosity*Reynold Number)/(Mass Density of Fluid*Diameter of a Spherical Particle)
vs = (μviscosity*Re)/(ρf*d)

What is Reynolds Number?

The Reynolds number Re is a dimensionless quantity that describes the flow characteristics of a fluid. It is used to predict whether the flow will be laminar or turbulent, which is crucial in fluid dynamics, engineering, and environmental science.

How to Calculate Settling Velocity given Particle Reynold's Number?

Settling Velocity given Particle Reynold's Number calculator uses Settling Velocity of Particles = (Dynamic Viscosity*Reynold Number)/(Mass Density of Fluid*Diameter of a Spherical Particle) to calculate the Settling Velocity of Particles, The Settling Velocity given Particle Reynold's Number formula is defined as the speed at which a particle falls through a fluid under the influence of gravity. Settling Velocity of Particles is denoted by vs symbol.

How to calculate Settling Velocity given Particle Reynold's Number using this online calculator? To use this online calculator for Settling Velocity given Particle Reynold's Number, enter Dynamic Viscosity viscosity), Reynold Number (Re), Mass Density of Fluid f) & Diameter of a Spherical Particle (d) and hit the calculate button. Here is how the Settling Velocity given Particle Reynold's Number calculation can be explained with given input values -> 0.015692 = (1.02*0.02)/(1000*0.0013).

FAQ

What is Settling Velocity given Particle Reynold's Number?
The Settling Velocity given Particle Reynold's Number formula is defined as the speed at which a particle falls through a fluid under the influence of gravity and is represented as vs = (μviscosity*Re)/(ρf*d) or Settling Velocity of Particles = (Dynamic Viscosity*Reynold Number)/(Mass Density of Fluid*Diameter of a Spherical Particle). 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) & The Diameter of a Spherical Particle is the distance across the sphere, passing through its center.
How to calculate Settling Velocity given Particle Reynold's Number?
The Settling Velocity given Particle Reynold's Number formula is defined as the speed at which a particle falls through a fluid under the influence of gravity is calculated using Settling Velocity of Particles = (Dynamic Viscosity*Reynold Number)/(Mass Density of Fluid*Diameter of a Spherical Particle). To calculate Settling Velocity given Particle Reynold's Number, you need Dynamic Viscosity viscosity), Reynold Number (Re), Mass Density of Fluid f) & Diameter of a Spherical Particle (d). With our tool, you need to enter the respective value for Dynamic Viscosity, Reynold Number, Mass Density of Fluid & Diameter of a Spherical Particle 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 Settling Velocity of Particles?
In this formula, Settling Velocity of Particles uses Dynamic Viscosity, Reynold Number, Mass Density of Fluid & Diameter of a Spherical Particle. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Settling Velocity of Particles = sqrt((2*Drag Force)/(Projected Area of A Particle*Drag Coefficient*Mass Density of Fluid))
  • Settling Velocity of Particles = sqrt((4*[g]*(Mass Density of Particles-Mass Density of Fluid)*Diameter of a Spherical Particle)/(3*Drag Coefficient*Mass Density of Fluid))
  • Settling Velocity of Particles = sqrt((4*[g]*(Specific Gravity of Spherical Particle-1)*Diameter of a Spherical Particle)/(3*Drag Coefficient))
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