Diameter of Sphere given Coefficient of Drag Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of Sphere = (24*Dynamic Viscosity)/(Density of Fluid*Mean Velocity*Coefficient of Drag)
DS = (24*μviscosity)/(ρ*Vmean*CD)
This formula uses 5 Variables
Variables Used
Diameter of Sphere - (Measured in Meter) - Diameter of Sphere is the longest line that is inside the sphere and that passes through the center of the sphere.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.
Density of Fluid - (Measured in Kilogram per Cubic Meter) - Density of Fluid is the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.
Mean Velocity - (Measured in Meter per Second) - Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.
Coefficient of Drag - The Coefficient of Drag is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water.
STEP 1: Convert Input(s) to Base Unit
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Density of Fluid: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required
Mean Velocity: 10.1 Meter per Second --> 10.1 Meter per Second No Conversion Required
Coefficient of Drag: 0.01 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
DS = (24*μviscosity)/(ρ*Vmean*CD) --> (24*1.02)/(1000*10.1*0.01)
Evaluating ... ...
DS = 0.242376237623762
STEP 3: Convert Result to Output's Unit
0.242376237623762 Meter --> No Conversion Required
FINAL ANSWER
0.242376237623762 0.242376 Meter <-- Diameter of Sphere
(Calculation completed in 00.020 seconds)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
Rithik Agrawal has created this Calculator and 1300+ more calculators!
Verified by M Naveen
National Institute of Technology (NIT), Warangal
M Naveen has verified this Calculator and 900+ more calculators!

18 Laminar Flow around a Sphere– Stokes’ Law Calculators

Coefficient of Drag given Drag Force
Go Coefficient of Drag = Drag Force/(Cross Sectional Area of Pipe*Mean Velocity*Mean Velocity*Density of Fluid*0.5)
Density of Fluid given Drag Force
Go Density of Fluid = Drag Force/(Cross Sectional Area of Pipe*Mean Velocity*Mean Velocity*Coefficient of Drag*0.5)
Projected Area given Drag Force
Go Cross Sectional Area of Pipe = Drag Force/(Coefficient of Drag*Mean Velocity*Mean Velocity*Density of Fluid*0.5)
Drag Force given Coefficient of Drag
Go Drag Force = Coefficient of Drag*Cross Sectional Area of Pipe*Mean Velocity*Mean Velocity*Density of Fluid*0.5
Coefficient of Drag given density
Go Coefficient of Drag = (24*Drag Force*Dynamic Viscosity)/(Density of Fluid*Mean Velocity*Diameter of Sphere)
Dynamic Viscosity of fluid given Terminal Fall Velocity
Go Dynamic Viscosity = ((Diameter of Sphere^2)/(18*Terminal Velocity))*(Specific Weight of Liquid-Specific Weight of Liquid in Piezometer)
Terminal Fall Velocity
Go Terminal Velocity = ((Diameter of Sphere^2)/(18*Dynamic Viscosity))*(Specific Weight of Liquid-Specific Weight of Liquid in Piezometer)
Velocity of Sphere given Drag Force
Go Mean Velocity = sqrt(Drag Force/(Cross Sectional Area of Pipe*Coefficient of Drag*Density of Fluid*0.5))
Velocity of Sphere given Coefficient of Drag
Go Mean Velocity = (24*Dynamic Viscosity)/(Density of Fluid*Coefficient of Drag*Diameter of Sphere)
Diameter of Sphere given Coefficient of Drag
Go Diameter of Sphere = (24*Dynamic Viscosity)/(Density of Fluid*Mean Velocity*Coefficient of Drag)
Diameter of Sphere for given Fall Velocity
Go Diameter of Sphere = sqrt((Mean Velocity*18*Dynamic Viscosity)/(Specific Weight of Liquid))
Dynamic Viscosity of fluid given Resistance Force on Spherical Surface
Go Dynamic Viscosity = Resistance Force/(3*pi*Diameter of Sphere*Mean Velocity)
Velocity of Sphere given Resistance Force on Spherical Surface
Go Mean Velocity = Resistance Force/(3*pi*Dynamic Viscosity*Diameter of Sphere)
Diameter of Sphere given Resistance Force on Spherical Surface
Go Diameter of Sphere = Resistance Force/(3*pi*Dynamic Viscosity*Mean Velocity)
Resistance Force on Spherical Surface
Go Resistance Force = 3*pi*Dynamic Viscosity*Mean Velocity*Diameter of Sphere
Resistance Force on Spherical Surface given Specific Weights
Go Resistance Force = (pi/6)*(Diameter of Sphere^3)*(Specific Weight of Liquid)
Reynolds Number given Coefficient of Drag
Go Reynolds Number = 24/Coefficient of Drag
Coefficient of Drag given Reynolds Number
Go Coefficient of Drag = 24/Reynolds Number

Diameter of Sphere given Coefficient of Drag Formula

Diameter of Sphere = (24*Dynamic Viscosity)/(Density of Fluid*Mean Velocity*Coefficient of Drag)
DS = (24*μviscosity)/(ρ*Vmean*CD)

What is Terminal Flow Velocity?

Terminal velocity is the maximum velocity attainable by an object as it falls through a fluid (air is the most common example).In fluid dynamics, an object is moving at its terminal velocity if its speed is constant due to the restraining force exerted by the fluid through which it is moving.

How to Calculate Diameter of Sphere given Coefficient of Drag?

Diameter of Sphere given Coefficient of Drag calculator uses Diameter of Sphere = (24*Dynamic Viscosity)/(Density of Fluid*Mean Velocity*Coefficient of Drag) to calculate the Diameter of Sphere, The Diameter of Sphere given Coefficient of Drag is defined as the sectional dimension of sphere with which ball or sphere is moving. Diameter of Sphere is denoted by DS symbol.

How to calculate Diameter of Sphere given Coefficient of Drag using this online calculator? To use this online calculator for Diameter of Sphere given Coefficient of Drag, enter Dynamic Viscosity viscosity), Density of Fluid (ρ), Mean Velocity (Vmean) & Coefficient of Drag (CD) and hit the calculate button. Here is how the Diameter of Sphere given Coefficient of Drag calculation can be explained with given input values -> 0.242376 = (24*1.02)/(1000*10.1*0.01).

FAQ

What is Diameter of Sphere given Coefficient of Drag?
The Diameter of Sphere given Coefficient of Drag is defined as the sectional dimension of sphere with which ball or sphere is moving and is represented as DS = (24*μviscosity)/(ρ*Vmean*CD) or Diameter of Sphere = (24*Dynamic Viscosity)/(Density of Fluid*Mean Velocity*Coefficient of Drag). The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied, Density of Fluid is the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object, Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T & The Coefficient of Drag is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water.
How to calculate Diameter of Sphere given Coefficient of Drag?
The Diameter of Sphere given Coefficient of Drag is defined as the sectional dimension of sphere with which ball or sphere is moving is calculated using Diameter of Sphere = (24*Dynamic Viscosity)/(Density of Fluid*Mean Velocity*Coefficient of Drag). To calculate Diameter of Sphere given Coefficient of Drag, you need Dynamic Viscosity viscosity), Density of Fluid (ρ), Mean Velocity (Vmean) & Coefficient of Drag (CD). With our tool, you need to enter the respective value for Dynamic Viscosity, Density of Fluid, Mean Velocity & Coefficient of Drag 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 Diameter of Sphere?
In this formula, Diameter of Sphere uses Dynamic Viscosity, Density of Fluid, Mean Velocity & Coefficient of Drag. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Diameter of Sphere = Resistance Force/(3*pi*Dynamic Viscosity*Mean Velocity)
  • Diameter of Sphere = sqrt((Mean Velocity*18*Dynamic Viscosity)/(Specific Weight of Liquid))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!