Velocity of Sphere given Coefficient of Drag Calculator

✖The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity [μ_viscosity]			+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%
✖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%
✖Diameter of Sphere is the longest line that is inside the sphere and that passes through the center of the sphere.ⓘ Diameter of Sphere [D_S]			+10% -10%

✖Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.ⓘ Velocity of Sphere given Coefficient of Drag [V_mean]

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Formula

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Velocity of Sphere given Coefficient of Drag

Formula

`"V"_{"mean"} = (24*"μ"_{"viscosity"})/("ρ"*"C"_{"D"}*"D"_{"S"})`

Example

`"0.2448m/s"=(24*"10.2P")/("1000kg/m³"*"0.01"*"10m")`

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Velocity of Sphere given Coefficient of Drag Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Velocity = (24*Dynamic Viscosity)/(Density of Fluid*Coefficient of Drag*Diameter of Sphere)
V_mean = (24*μ_viscosity)/(ρ*C_D*D_S)
This formula uses 5 Variables

Variables Used

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.
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.
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.
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.

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
Coefficient of Drag: 0.01 --> No Conversion Required
Diameter of Sphere: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_mean = (24*μ_viscosity)/(ρ*C_D*D_S) --> (24*1.02)/(1000*0.01*10)

Evaluating ... ...

V_mean = 0.2448

STEP 3: Convert Result to Output's Unit

0.2448 Meter per Second --> No Conversion Required

FINAL ANSWER

0.2448 Meter per Second <-- Mean Velocity

(Calculation completed in 00.004 seconds)

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< 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)

Diameter of Sphere given Resistance Force on Spherical Surface

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

Velocity of Sphere given Resistance Force on Spherical Surface

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

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

Velocity of Sphere given Coefficient of Drag Formula

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

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 Velocity of Sphere given Coefficient of Drag?

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

How to calculate Velocity of Sphere given Coefficient of Drag using this online calculator? To use this online calculator for Velocity of Sphere given Coefficient of Drag, enter Dynamic Viscosity (μ_viscosity), Density of Fluid (ρ), Coefficient of Drag (C_D) & Diameter of Sphere (D_S) and hit the calculate button. Here is how the Velocity of Sphere given Coefficient of Drag calculation can be explained with given input values -> 0.2448 = (24*1.02)/(1000*0.01*10).

FAQ

What is Velocity of Sphere given Coefficient of Drag?

The Velocity of Sphere given Coefficient of Drag is defined as the average velocity with which sphere is moving stream and is represented as V_mean = (24*μ_viscosity)/(ρ*C_D*D_S) or Mean Velocity = (24*Dynamic Viscosity)/(Density of Fluid*Coefficient of Drag*Diameter of Sphere). 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, 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 & Diameter of Sphere is the longest line that is inside the sphere and that passes through the center of the sphere.

How to calculate Velocity of Sphere given Coefficient of Drag?

The Velocity of Sphere given Coefficient of Drag is defined as the average velocity with which sphere is moving stream is calculated using Mean Velocity = (24*Dynamic Viscosity)/(Density of Fluid*Coefficient of Drag*Diameter of Sphere). To calculate Velocity of Sphere given Coefficient of Drag, you need Dynamic Viscosity (μ_viscosity), Density of Fluid (ρ), Coefficient of Drag (C_D) & Diameter of Sphere (D_S). With our tool, you need to enter the respective value for Dynamic Viscosity, Density of Fluid, Coefficient of Drag & Diameter of Sphere 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 Mean Velocity?

In this formula, Mean Velocity uses Dynamic Viscosity, Density of Fluid, Coefficient of Drag & Diameter of Sphere. We can use 2 other way(s) to calculate the same, which is/are as follows -

Mean Velocity = Resistance Force/(3*pi*Dynamic Viscosity*Diameter of Sphere)
Mean Velocity = sqrt(Drag Force/(Cross Sectional Area of Pipe*Coefficient of Drag*Density of Fluid*0.5))

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