Diameter of Sphere given Coefficient of Drag Calculator

✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+10% -10%
✖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.ⓘ Density of Fluid [ρ]			+10% -10%
✖Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.ⓘ Mean Velocity [V_mean]			+10% -10%
✖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.ⓘ Coefficient of Drag [C_D]			+10% -10%

✖The Diameter of Sphere refers to the longest line that is inside the sphere and that passes through the center of the sphere.ⓘ Diameter of Sphere given Coefficient of Drag [D_S]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Laminar Flow around a Sphere Stokes’ Law Formulas PDF PDF Image

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)
D_S = (24*μ)/(ρ*V_mean*C_D)
This formula uses 5 Variables

Variables Used

Diameter of Sphere - (Measured in Meter) - The Diameter of Sphere refers to 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 refers to the internal resistance of a fluid to flow when a 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

D_S = (24*μ)/(ρ*V_mean*C_D) --> (24*1.02)/(1000*10.1*0.01)

Evaluating ... ...

D_S = 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 00.004 seconds)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Laminar Flow around a Sphere Stokes’ Law » Diameter of Sphere given Coefficient of Drag

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!

< Laminar Flow around a Sphere Stokes’ Law Calculators

Dynamic Viscosity of fluid given Resistance Force on Spherical Surface

LaTeX Go Dynamic Viscosity = Resistance Force/(3*pi*Diameter of Sphere*Mean Velocity)

Diameter of Sphere given Resistance Force on Spherical Surface

LaTeX Go Diameter of Sphere = Resistance Force/(3*pi*Dynamic Viscosity*Mean Velocity)

Velocity of Sphere given Resistance Force on Spherical Surface

LaTeX Go Mean Velocity = Resistance Force/(3*pi*Dynamic Viscosity*Diameter of Sphere)

Resistance Force on Spherical Surface

LaTeX Go Resistance Force = 3*pi*Dynamic Viscosity*Mean Velocity*Diameter of Sphere

Diameter of Sphere given Coefficient of Drag Formula

LaTeX Go

Diameter of Sphere = (24*Dynamic Viscosity)/(Density of Fluid*Mean Velocity*Coefficient of Drag)
D_S = (24*μ)/(ρ*V_mean*C_D)

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 D_S 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 (μ), Density of Fluid (ρ), Mean Velocity (V_mean) & Coefficient of Drag (C_D) 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 D_S = (24*μ)/(ρ*V_mean*C_D) or Diameter of Sphere = (24*Dynamic Viscosity)/(Density of Fluid*Mean Velocity*Coefficient of Drag). The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a 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 (μ), Density of Fluid (ρ), Mean Velocity (V_mean) & Coefficient of Drag (C_D). 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))

Home

FREE PDFs

🔍 Search