Total Drag force on Sphere Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Drag Force on Sphere = 3*pi*Dynamic Viscosity of Fluid*Diameter of Sphere in Fluid*Velocity of Body or Fluid
FD = 3*pi*μd*D*v
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Total Drag Force on Sphere - (Measured in Newton) - Total drag force on sphere in fluid flow is the total amount of the force acting onto the sphere as a result of pressure drag and skin friction drag.
Dynamic Viscosity of Fluid - (Measured in Pascal Second) - Dynamic Viscosity of Fluid is the measure of its resistance to flow when an external force is applied.
Diameter of Sphere in Fluid - (Measured in Meter) - Diameter of sphere in fluid is the diameter of a sphere present in a flowing fluid.
Velocity of Body or Fluid - (Measured in Meter per Second) - Velocity of body or fluid is the speed at which the body is moving in the fluid or with which the fluid is flowing around the body.
STEP 1: Convert Input(s) to Base Unit
Dynamic Viscosity of Fluid: 0.075 Poise --> 0.0075 Pascal Second (Check conversion here)
Diameter of Sphere in Fluid: 0.08 Meter --> 0.08 Meter No Conversion Required
Velocity of Body or Fluid: 32 Meter per Second --> 32 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
FD = 3*pi*μd*D*v --> 3*pi*0.0075*0.08*32
Evaluating ... ...
FD = 0.180955736846772
STEP 3: Convert Result to Output's Unit
0.180955736846772 Newton --> No Conversion Required
FINAL ANSWER
0.180955736846772 0.180956 Newton <-- Total Drag Force on Sphere
(Calculation completed in 00.004 seconds)

Credits

Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
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Amrita School of Engineering (ASE), Vallikavu
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11 Drag and Forces Calculators

Force exerted by body on supersonic plane
Go Force = (Density of Fluid Circulating*(Length of Aeroplane^2)*(Velocity of Body or Fluid^2))*((Dynamic Viscosity of Fluid)/(Density of Fluid Circulating*Velocity of Body or Fluid*Length of Aeroplane))*((Bulk Modulus)/(Density of Fluid Circulating*Velocity of Body or Fluid^2))
Total force exerted by fluid on body
Go Force = (Coefficient of Drag for Body in Fluid*Projected Area of Body*Density of Fluid Circulating*(Velocity of Body or Fluid^2)/2)+(Lift Coefficient for Body in Fluid*Projected Area of Body*Density of Fluid Circulating*(Velocity of Body or Fluid^2)/2)
Drag Force for body moving in Fluid
Go Drag Force on Body in Fluid = (Coefficient of Drag for Body in Fluid*Projected Area of Body*Mass of Flowing Fluid*(Velocity of Body or Fluid)^2)/(Volume of Flowing Fluid*2)
Area of body for Lift Force in body moving on Fluid
Go Projected Area of Body = Lift Force on Body in Fluid/(Lift Coefficient for Body in Fluid*0.5*Density of Fluid Circulating*(Velocity of Body or Fluid^2))
Drag Force for body moving in Fluid of Certain Density
Go Drag Force on Body in Fluid = Coefficient of Drag for Body in Fluid*Projected Area of Body*Density of Fluid Circulating*(Velocity of Body or Fluid^2)/2
Skin Friction Drag from Total Drag Force on Sphere
Go Skin Friction Drag on Sphere = 2*pi*Dynamic Viscosity of Fluid*Diameter of Sphere in Fluid*Velocity of Body or Fluid
Pressure Drag from Total Drag Force on Sphere
Go Pressure Drag Force on Sphere = pi*Dynamic Viscosity of Fluid*Diameter of Sphere in Fluid*Velocity of Body or Fluid
Total Drag force on Sphere
Go Total Drag Force on Sphere = 3*pi*Dynamic Viscosity of Fluid*Diameter of Sphere in Fluid*Velocity of Body or Fluid
Power Required to Keep Flat Plate in Motion
Go Power to Keep Plate in Motion = Drag Force on Body in Fluid*Velocity of Body or Fluid
Coefficient of drag for sphere in Oseen formula when Reynolds number is between 0.2 and 5
Go Coefficient of Drag for Sphere = (24/Reynolds Number)*(1+(3/(16*Reynolds Number)))
Coefficient of drag for sphere in stoke's law when Reynolds number is less than 0.2
Go Coefficient of Drag for Sphere = 24/Reynolds Number

Total Drag force on Sphere Formula

Total Drag Force on Sphere = 3*pi*Dynamic Viscosity of Fluid*Diameter of Sphere in Fluid*Velocity of Body or Fluid
FD = 3*pi*μd*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 Sphere?

Total Drag force on Sphere calculator uses Total Drag Force on Sphere = 3*pi*Dynamic Viscosity of Fluid*Diameter of Sphere in Fluid*Velocity of Body or Fluid to calculate the Total Drag Force on Sphere, The Total drag force on 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. Total Drag Force on Sphere is denoted by FD symbol.

How to calculate Total Drag force on Sphere using this online calculator? To use this online calculator for Total Drag force on Sphere, enter Dynamic Viscosity of Fluid d), Diameter of Sphere in Fluid (D) & Velocity of Body or Fluid (v) and hit the calculate button. Here is how the Total Drag force on Sphere calculation can be explained with given input values -> 0.180956 = 3*pi*0.0075*0.08*32.

FAQ

What is Total Drag force on Sphere?
The Total drag force on 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*μd*D*v or Total Drag Force on Sphere = 3*pi*Dynamic Viscosity of Fluid*Diameter of Sphere in Fluid*Velocity of Body or Fluid. Dynamic Viscosity of Fluid is the measure of its resistance to flow when an external force is applied, Diameter of sphere in fluid is the diameter of a sphere present in a flowing fluid & Velocity of body or fluid is the speed at which the body is moving in the fluid or with which the fluid is flowing around the body.
How to calculate Total Drag force on Sphere?
The Total drag force on 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 Total Drag Force on Sphere = 3*pi*Dynamic Viscosity of Fluid*Diameter of Sphere in Fluid*Velocity of Body or Fluid. To calculate Total Drag force on Sphere, you need Dynamic Viscosity of Fluid d), Diameter of Sphere in Fluid (D) & Velocity of Body or Fluid (v). With our tool, you need to enter the respective value for Dynamic Viscosity of Fluid, Diameter of Sphere in Fluid & Velocity of Body or 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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