Settling Velocity given Drag Force as per Stokes Law Calculator

✖The Drag Force refers to the resisting force experienced by an particle moving through a fluid.ⓘ Drag Force [F_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 Diameter of a Spherical Particle is the distance across the sphere, passing through its center.ⓘ Diameter of a Spherical Particle [d]			+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 given Drag Force as per Stokes Law [v_s]

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Settling Velocity given Drag Force as per Stokes Law Solution

STEP 0: Pre-Calculation Summary

Formula Used

Settling Velocity of Particles = Drag Force/(3*pi*Dynamic Viscosity*Diameter of a Spherical Particle)
v_s = F_D/(3*pi*μ_viscosity*d)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
Drag Force - (Measured in Newton) - The Drag Force refers to the resisting force experienced by an particle moving through a fluid.
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.
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

Drag Force: 0.004 Newton --> 0.004 Newton No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Diameter of a Spherical Particle: 0.0013 Meter --> 0.0013 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_s = F_D/(3*pi*μ_viscosity*d) --> 0.004/(3*pi*1.02*0.0013)

Evaluating ... ...

v_s = 0.32007027268355

STEP 3: Convert Result to Output's Unit

0.32007027268355 Meter per Second --> No Conversion Required

FINAL ANSWER

0.32007027268355 ≈ 0.32007 Meter per Second <-- Settling Velocity of Particles

(Calculation completed in 00.004 seconds)

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Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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Birsa Institute of Technology (BIT), Sindri

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< Settling Velocity Calculators

Settling Velocity

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

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

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

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

Settling Velocity given Drag Force as per Stokes Law Formula

Settling Velocity of Particles = Drag Force/(3*pi*Dynamic Viscosity*Diameter of a Spherical Particle)
v_s = F_D/(3*pi*μ_viscosity*d)

What is Stokes Law?

Stokes Law describes the relationship between the frictional force of a sphere moving in a liquid and other quantities such as particle radius and velocity of the particle.

How to Calculate Settling Velocity given Drag Force as per Stokes Law?

Settling Velocity given Drag Force as per Stokes Law calculator uses Settling Velocity of Particles = Drag Force/(3*pi*Dynamic Viscosity*Diameter of a Spherical Particle) to calculate the Settling Velocity of Particles, Settling Velocity given Drag Force as per Stokes Law 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 v_s symbol.

How to calculate Settling Velocity given Drag Force as per Stokes Law using this online calculator? To use this online calculator for Settling Velocity given Drag Force as per Stokes Law, enter Drag Force (F_D), Dynamic Viscosity (μ_viscosity) & Diameter of a Spherical Particle (d) and hit the calculate button. Here is how the Settling Velocity given Drag Force as per Stokes Law calculation can be explained with given input values -> 320.0703 = 0.004/(3*pi*1.02*0.0013).

FAQ

What is Settling Velocity given Drag Force as per Stokes Law?

Settling Velocity given Drag Force as per Stokes Law formula is defined as the speed at which a particle falls through a fluid under the influence of gravity and is represented as v_s = F_D/(3*pi*μ_viscosity*d) or Settling Velocity of Particles = Drag Force/(3*pi*Dynamic Viscosity*Diameter of a Spherical Particle). The Drag Force refers to the resisting force experienced by an particle moving through a fluid, 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 & The Diameter of a Spherical Particle is the distance across the sphere, passing through its center.

How to calculate Settling Velocity given Drag Force as per Stokes Law?

Settling Velocity given Drag Force as per Stokes Law 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 = Drag Force/(3*pi*Dynamic Viscosity*Diameter of a Spherical Particle). To calculate Settling Velocity given Drag Force as per Stokes Law, you need Drag Force (F_D), Dynamic Viscosity (μ_viscosity) & Diameter of a Spherical Particle (d). With our tool, you need to enter the respective value for Drag Force, Dynamic Viscosity & 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 Drag Force, Dynamic Viscosity & 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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