Stokes Force Calculator

✖Radius of the spherical object is the length of a straight line segment drawn from the center of the object to any point on its surface.ⓘ Radius of the Spherical Object [R]			+10% -10%
✖Dynamic Viscosity of Fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity [μ_d]			+10% -10%
✖Velocity of Fluid is denoted as the the flow velocity relative to the spherical object.ⓘ Velocity of Fluid [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"_{"d"}*"U"`

Example

`"49.97489N"=6*pi*"1.01m"*"0.075Pa*s"*"35m/s"`

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Stokes Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stokes' Drag = 6*pi*Radius of the Spherical Object*Dynamic Viscosity*Velocity of Fluid
F_d = 6*pi*R*μ_d*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 of the Spherical Object - (Measured in Meter) - Radius of the spherical object is the length of a straight line segment drawn from the center of the object to any point on its surface.
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 Fluid - (Measured in Meter per Second) - Velocity of Fluid is denoted as the the flow velocity relative to the spherical object.

STEP 1: Convert Input(s) to Base Unit

Radius of the Spherical Object: 1.01 Meter --> 1.01 Meter No Conversion Required
Dynamic Viscosity: 0.075 Pascal Second --> 0.075 Pascal Second No Conversion Required
Velocity of Fluid: 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_d*U --> 6*pi*1.01*0.075*35

Evaluating ... ...

F_d = 49.9748851369796

STEP 3: Convert Result to Output's Unit

49.9748851369796 Newton --> No Conversion Required

FINAL ANSWER

49.9748851369796 ≈ 49.97489 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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< 5 Dynamic Force Equations Calculators

Stokes Force

Go Stokes' Drag = 6*pi*Radius of the Spherical Object*Dynamic Viscosity*Velocity of Fluid

Force in Direction of Jet Striking Stationary Vertical Plate

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

Upthrust Force

Go Upthrust Force = Volume Immersed*[g]*Mass Density of Fluid

Inertial Force per Unit Area

Go Inertial Force per Unit Area = Speed of the Fluid^2*Mass Density of Fluid

Body Force

Go Body Force = Force Acting on Mass/Volume Occupied by Mass

Stokes Force Formula

Stokes' Drag = 6*pi*Radius of the Spherical Object*Dynamic Viscosity*Velocity of Fluid
F_d = 6*pi*R*μ_d*U

What is drag force?

Drag force on an airfoil is the force acting against its intended motion (lift). It arises from three main reasons: 1. friction between air and the airfoil's surface, 2. the pressure difference between its top and bottom (although this contributes more to lift), and 3. turbulence caused by air flow separation. Minimizing drag is essential for efficient flight as it reduces the force the engine needs to overcome for desired speeds and fuel economy.

How to Calculate Stokes Force?

Stokes Force calculator uses Stokes' Drag = 6*pi*Radius of the Spherical Object*Dynamic Viscosity*Velocity of Fluid to calculate the Stokes' Drag, Stokes force or Stokes drag refers to the frictional force experienced by a small, spherical object moving at a slow velocity through a high viscous fluid. Stokes drag is the resistance the high viscous fluid provides due to its own internal friction. The force depends on the object's size, the fluid's viscosity, and the object's velocity. It's a crucial concept in understanding the behavior of small particles in fluids and is used in various applications, from analyzing blood flow to predicting the settling rate of dust particles in air. 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 of the Spherical Object (R), Dynamic Viscosity (μ_d) & Velocity of Fluid (U) and hit the calculate button. Here is how the Stokes Force calculation can be explained with given input values -> 49.97489 = 6*pi*1.01*0.075*35.

FAQ

What is Stokes Force?

Stokes force or Stokes drag refers to the frictional force experienced by a small, spherical object moving at a slow velocity through a high viscous fluid. Stokes drag is the resistance the high viscous fluid provides due to its own internal friction. The force depends on the object's size, the fluid's viscosity, and the object's velocity. It's a crucial concept in understanding the behavior of small particles in fluids and is used in various applications, from analyzing blood flow to predicting the settling rate of dust particles in air and is represented as F_d = 6*pi*R*μ_d*U or Stokes' Drag = 6*pi*Radius of the Spherical Object*Dynamic Viscosity*Velocity of Fluid. Radius of the spherical object is the length of a straight line segment drawn from the center of the object to any point on its surface, Dynamic Viscosity of Fluid is the measure of its resistance to flow when an external force is applied & Velocity of Fluid is denoted as the the flow velocity relative to the spherical object.

How to calculate Stokes Force?

Stokes force or Stokes drag refers to the frictional force experienced by a small, spherical object moving at a slow velocity through a high viscous fluid. Stokes drag is the resistance the high viscous fluid provides due to its own internal friction. The force depends on the object's size, the fluid's viscosity, and the object's velocity. It's a crucial concept in understanding the behavior of small particles in fluids and is used in various applications, from analyzing blood flow to predicting the settling rate of dust particles in air is calculated using Stokes' Drag = 6*pi*Radius of the Spherical Object*Dynamic Viscosity*Velocity of Fluid. To calculate Stokes Force, you need Radius of the Spherical Object (R), Dynamic Viscosity (μ_d) & Velocity of Fluid (U). With our tool, you need to enter the respective value for Radius of the Spherical Object, Dynamic Viscosity & Velocity of Fluid 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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