Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
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Amrita School of Engineering (ASE), Vallikavu
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Total drag force on a sphere Solution

STEP 0: Pre-Calculation Summary
Formula Used
Drag Force = 3*pi*Viscosity of Fluid*Diameter of Sphere*Flow Velocity
FD = 3*pi*μ*d*V
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Viscosity of Fluid - The Viscosity of fluid is a measure of its resistance to deformation at a given rate. (Measured in Newton Second per Meter²)
Diameter of Sphere - The Diameter of Sphere is considered in the falling sphere resistance method. (Measured in Meter)
Flow Velocity - Flow Velocity is the velocity of the flow of any fluid. (Measured in Meter per Second)
STEP 1: Convert Input(s) to Base Unit
Viscosity of Fluid: 10 Newton Second per Meter² --> 10 Pascal Second (Check conversion here)
Diameter of Sphere: 0.25 Meter --> 0.25 Meter No Conversion Required
Flow Velocity: 1 Meter per Second --> 1 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
FD = 3*pi*μ*d*V --> 3*pi*10*0.25*1
Evaluating ... ...
FD = 23.5619449019234
STEP 3: Convert Result to Output's Unit
23.5619449019234 Newton --> No Conversion Required
FINAL ANSWER
23.5619449019234 Newton <-- Drag Force
(Calculation completed in 00.015 seconds)

10+ Forces on sub-merged bodies Calculators

Location of stagnation points for a rotating cylinder in a uniform flow field
Angle at stagnation point = -asin(Circulation/(4*pi*Freestream Velocity*Cylinder Radius)) Go
Skin friction drag from total drag force on a sphere
Skin friction drag force = 2*pi*Viscosity of Fluid*Diameter of Sphere*Flow Velocity Go
Area of the body for lift force in body moving on fluid
Reference Area = Lift force/(Lift Coefficient*0.5*Density of Fluid*(Velocity^2)) Go
Pressure drag from total drag force on a sphere
Pressure drag force = pi*Viscosity of Fluid*Diameter of Sphere*Flow Velocity Go
Length of the cylinder for lift force on a cylinder
Length of Cylinder = Lift force/(Density*Circulation*Freestream Velocity) Go
Drag force for a body moving in a fluid of certain density
Drag Force = Coefficient of drag*Area of Surface*Density*(Velocity^2)/2 Go
Lift force on a cylinder for circulation
Lift force = Density*Length of Cylinder*Circulation*Freestream Velocity Go
Total drag force on a sphere
Drag Force = 3*pi*Viscosity of Fluid*Diameter of Sphere*Flow Velocity Go
Lift force for a body moving in a fluid of certain density
Lift Force = Lift Coefficient*Reference Area*Density*(Velocity^2)/2 Go
Radius of cylinder for lift coefficient in a rotating cylinder with circulation
Cylinder Radius = Circulation/(Lift Coefficient*Freestream Velocity) Go

Total drag force on a sphere Formula

Drag Force = 3*pi*Viscosity of Fluid*Diameter of Sphere*Flow Velocity
FD = 3*pi*μ*d*V

What is lift force?

A fluid flowing around the surface of an object exerts a force on it. Lift is the component of this force that is perpendicular to the oncoming flow direction. It contrasts with the drag force, which is the component of the force parallel to the flow direction.

What is lift coefficient?

The lift coefficient (CL) is a dimensionless coefficient that relates the lift generated by a lifting body to the fluid density around the body, the fluid velocity, and an associated reference area.

How to Calculate Total drag force on a sphere?

Total drag force on a sphere calculator uses Drag Force = 3*pi*Viscosity of Fluid*Diameter of Sphere*Flow Velocity to calculate the Drag Force, The Total drag force on a sphere formula is known while considering the viscosity of the fluid, the diameter of the sphere, and the flow velocity of the fluid over the sphere. Drag Force is denoted by FD symbol.

How to calculate Total drag force on a sphere using this online calculator? To use this online calculator for Total drag force on a sphere, enter Viscosity of Fluid (μ), Diameter of Sphere (d) & Flow Velocity (V) and hit the calculate button. Here is how the Total drag force on a sphere calculation can be explained with given input values -> 23.56194 = 3*pi*10*0.25*1.

FAQ

What is Total drag force on a sphere?
The Total drag force on a sphere formula is known while considering the viscosity of the fluid, the diameter of the sphere, and the flow velocity of the fluid over the sphere and is represented as FD = 3*pi*μ*d*V or Drag Force = 3*pi*Viscosity of Fluid*Diameter of Sphere*Flow Velocity. The Viscosity of fluid is a measure of its resistance to deformation at a given rate, The Diameter of Sphere is considered in the falling sphere resistance method & Flow Velocity is the velocity of the flow of any fluid.
How to calculate Total drag force on a sphere?
The Total drag force on a sphere formula is known while considering the viscosity of the fluid, the diameter of the sphere, and the flow velocity of the fluid over the sphere is calculated using Drag Force = 3*pi*Viscosity of Fluid*Diameter of Sphere*Flow Velocity. To calculate Total drag force on a sphere, you need Viscosity of Fluid (μ), Diameter of Sphere (d) & Flow Velocity (V). With our tool, you need to enter the respective value for Viscosity of Fluid, Diameter of Sphere & Flow Velocity 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 Drag Force?
In this formula, Drag Force uses Viscosity of Fluid, Diameter of Sphere & Flow Velocity. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Drag Force = Coefficient of drag*Area of Surface*Density*(Velocity^2)/2
  • Drag Force = (Coefficient of drag*Area of Surface*Mass of water*(Uniform flow velocity)^2)/(Volume of water*2)
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