Stokes Force Calculator

✖Radius of the spherical object.ⓘ Radius [R]			+10% -10%
✖Dynamic Viscosity of Fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity [μ]			+10% -10%
✖Velocity of Liquid can be referred as the flow velocity of liquid relative to the object.ⓘ Velocity of Liquid [U]			+10% -10%

✖Stokes' drag is a frictional force acting on the interface between the fluid and the particle.ⓘ Stokes Force [F_d]

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Formula

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Stokes Force

Formula

`"F"_{"d"} = 6*pi*"R"*"μ"*"U"`

Example

`"4.997489N"=6*pi*"1.01m"*"0.075P"*"35m/s"`

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Stokes Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stokes' Drag = 6*pi*Radius*Dynamic Viscosity*Velocity of Liquid
F_d = 6*pi*R*μ*U
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Stokes' Drag - (Measured in Newton) - Stokes' drag is a frictional force acting on the interface between the fluid and the particle.
Radius - (Measured in Meter) - Radius of the spherical object.
Dynamic Viscosity - (Measured in Pascal Second) - Dynamic Viscosity of Fluid is the measure of its resistance to flow when an external force is applied.
Velocity of Liquid - (Measured in Meter per Second) - Velocity of Liquid can be referred as the flow velocity of liquid relative to the object.

STEP 1: Convert Input(s) to Base Unit

Radius: 1.01 Meter --> 1.01 Meter No Conversion Required
Dynamic Viscosity: 0.075 Poise --> 0.0075 Pascal Second (Check conversion here)
Velocity of Liquid: 35 Meter per Second --> 35 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_d = 6*pi*R*μ*U --> 6*pi*1.01*0.0075*35

Evaluating ... ...

F_d = 4.99748851369796

STEP 3: Convert Result to Output's Unit

4.99748851369796 Newton --> No Conversion Required

FINAL ANSWER

4.99748851369796 ≈ 4.997489 Newton <-- Stokes' Drag

(Calculation completed in 00.004 seconds)

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Created by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

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Force in Direction of Jet Striking Stationary Vertical Plate

Go Force Extracted by the Jet on Plate = Liquid Density*Cross Sectional Area of Jet*Velocity of Liquid Jet^2

Stokes Force

Go Stokes' Drag = 6*pi*Radius*Dynamic Viscosity*Velocity of Liquid

Upthrust Force

Go Upthrust Force = Volume Immersed*[g]*Liquid Density

Inertial Force per Unit Area

Go Inertial Force per Unit Area = Fluid Velocity^2*Liquid Density

Body Force Work Rate

Go Body Force Work Rate = Force/Volume Immersed

Stokes Force Formula

Stokes' Drag = 6*pi*Radius*Dynamic Viscosity*Velocity of Liquid
F_d = 6*pi*R*μ*U

What are the factors affecting stokes force?

Stokes force depend on the viscosity of the fluid in which the body is immersed.

How to Calculate Stokes Force?

Stokes Force calculator uses Stokes' Drag = 6*pi*Radius*Dynamic Viscosity*Velocity of Liquid to calculate the Stokes' Drag, Stokes Force also called drag force is exerted on spherical objects with very small Reynolds numbers in a viscous fluid. Stokes' Drag is denoted by F_d symbol.

How to calculate Stokes Force using this online calculator? To use this online calculator for Stokes Force, enter Radius (R), Dynamic Viscosity (μ) & Velocity of Liquid (U) and hit the calculate button. Here is how the Stokes Force calculation can be explained with given input values -> 2.098945 = 6*pi*1.01*0.0075*35.

FAQ

What is Stokes Force?

Stokes Force also called drag force is exerted on spherical objects with very small Reynolds numbers in a viscous fluid and is represented as F_d = 6*pi*R*μ*U or Stokes' Drag = 6*pi*Radius*Dynamic Viscosity*Velocity of Liquid. Radius of the spherical object, Dynamic Viscosity of Fluid is the measure of its resistance to flow when an external force is applied & Velocity of Liquid can be referred as the flow velocity of liquid relative to the object.

How to calculate Stokes Force?

Stokes Force also called drag force is exerted on spherical objects with very small Reynolds numbers in a viscous fluid is calculated using Stokes' Drag = 6*pi*Radius*Dynamic Viscosity*Velocity of Liquid. To calculate Stokes Force, you need Radius (R), Dynamic Viscosity (μ) & Velocity of Liquid (U). With our tool, you need to enter the respective value for Radius, Dynamic Viscosity & Velocity of Liquid 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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