Diameter given Drag Force as per Stokes Law Calculator

✖The Drag Force refers to the resisting force experienced by an object moving through a fluid.ⓘ Drag Force [F_D]			+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 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 Spherical particle refers to the length of a straight line passing through the center of the sphere and connecting two points on its surface.ⓘ Diameter given Drag Force as per Stokes Law [D_S]

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Diameter given Drag Force as per Stokes Law Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Spherical particle = Drag Force/3*pi*Settling Velocity*Dynamic Viscosity
D_S = F_D/3*pi*V_s*μ_viscosity
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Diameter of Spherical particle - (Measured in Meter) - The Diameter of Spherical particle refers to the length of a straight line passing through the center of the sphere and connecting two points on its surface.
Drag Force - (Measured in Newton) - The Drag Force refers to the resisting force experienced by an object moving through a fluid.
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.
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

Drag Force: 80 Newton --> 80 Newton No Conversion Required
Settling Velocity: 1.5 Meter per Second --> 1.5 Meter per Second No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_S = F_D/3*pi*V_s*μ_viscosity --> 80/3*pi*1.5*1.02

Evaluating ... ...

D_S = 128.176980266464

STEP 3: Convert Result to Output's Unit

128.176980266464 Meter --> No Conversion Required

FINAL ANSWER

128.176980266464 ≈ 128.177 Meter <-- Diameter of Spherical particle

(Calculation completed in 00.020 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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< Drag Force Calculators

Drag Force as per Stokes Law

LaTeX Go Drag Force = 3*Diameter of Spherical particle/(pi*Dynamic Viscosity*Settling Velocity)

Diameter given Drag Force as per Stokes Law

LaTeX Go Diameter of Spherical particle = Drag Force/3*pi*Settling Velocity*Dynamic Viscosity

Diameter given Drag Force as per Stokes Law Formula

LaTeX Go

Diameter of Spherical particle = Drag Force/3*pi*Settling Velocity*Dynamic Viscosity
D_S = F_D/3*pi*V_s*μ_viscosity

What is Stokes Law?

The stoke law is an expression describing the resisting force on a particle moving through a viscous fluid and showing that a maximum velocity is reached in such cases, e.g. for an object falling under gravity through a fluid.

How to Calculate Diameter given Drag Force as per Stokes Law?

Diameter given Drag Force as per Stokes Law calculator uses Diameter of Spherical particle = Drag Force/3*pi*Settling Velocity*Dynamic Viscosity to calculate the Diameter of Spherical particle, The Diameter given Drag Force as per Stokes Law formula is defined as the radius of the object when it is made to fall into a fluid, with a terminal velocity. Diameter of Spherical particle is denoted by D_S symbol.

How to calculate Diameter given Drag Force as per Stokes Law using this online calculator? To use this online calculator for Diameter given Drag Force as per Stokes Law, enter Drag Force (F_D), Settling Velocity (V_s) & Dynamic Viscosity (μ_viscosity) and hit the calculate button. Here is how the Diameter given Drag Force as per Stokes Law calculation can be explained with given input values -> 128.177 = 80/3*pi*1.5*1.02.

FAQ

What is Diameter given Drag Force as per Stokes Law?

The Diameter given Drag Force as per Stokes Law formula is defined as the radius of the object when it is made to fall into a fluid, with a terminal velocity and is represented as D_S = F_D/3*pi*V_s*μ_viscosity or Diameter of Spherical particle = Drag Force/3*pi*Settling Velocity*Dynamic Viscosity. The Drag Force refers to the resisting force experienced by an object moving through a fluid, 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 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 Diameter given Drag Force as per Stokes Law?

The Diameter given Drag Force as per Stokes Law formula is defined as the radius of the object when it is made to fall into a fluid, with a terminal velocity is calculated using Diameter of Spherical particle = Drag Force/3*pi*Settling Velocity*Dynamic Viscosity. To calculate Diameter given Drag Force as per Stokes Law, you need Drag Force (F_D), Settling Velocity (V_s) & Dynamic Viscosity (μ_viscosity). With our tool, you need to enter the respective value for Drag Force, Settling Velocity & Dynamic Viscosity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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