Reynolds Number given Rotational Speed Calculator

✖Rotational speed the number of turns of the object divided by time, specified as revolutions per minute.ⓘ Rotational speed [w]			+10% -10%
✖Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.ⓘ Diameter [D]			+10% -10%
✖Kinematic viscosity the ratio between the dynamic viscosity μ and the density ρ of the fluid.ⓘ Kinematic Viscosity [v]			+10% -10%

✖Reynolds number(w) is a dimensionless number used in fluid mechanics to indicate whether fluid flow past a body or in a duct is steady or turbulent.ⓘ Reynolds Number given Rotational Speed [Rew]

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Formula

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Reynolds Number given Rotational Speed

Formula

`"Rew" = "w"*pi*("D"^2)/"v"`

Example

`"3.926991"="5rad/s"*pi*(("10m")^2)/"4MSt"`

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Reynolds Number given Rotational Speed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reynolds Number(w) = Rotational speed*pi*(Diameter^2)/Kinematic Viscosity
Rew = w*pi*(D^2)/v
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Reynolds Number(w) - Reynolds number(w) is a dimensionless number used in fluid mechanics to indicate whether fluid flow past a body or in a duct is steady or turbulent.
Rotational speed - (Measured in Radian per Second) - Rotational speed the number of turns of the object divided by time, specified as revolutions per minute.
Diameter - (Measured in Meter) - Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
Kinematic Viscosity - (Measured in Square Meter per Second) - Kinematic viscosity the ratio between the dynamic viscosity μ and the density ρ of the fluid.

STEP 1: Convert Input(s) to Base Unit

Rotational speed: 5 Radian per Second --> 5 Radian per Second No Conversion Required
Diameter: 10 Meter --> 10 Meter No Conversion Required
Kinematic Viscosity: 4 Megastokes --> 400 Square Meter per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Rew = w*pi*(D^2)/v --> 5*pi*(10^2)/400

Evaluating ... ...

Rew = 3.92699081698724

STEP 3: Convert Result to Output's Unit

3.92699081698724 --> No Conversion Required

FINAL ANSWER

3.92699081698724 ≈ 3.926991 <-- Reynolds Number(w)

(Calculation completed in 00.004 seconds)

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< 5 Rayleigh and Reynolds Number Calculators

Rayleigh number based on turbulence for annular space between concentric cylinders

Go Rayleigh Number(t) = ((((ln(Outer Diameter/Inner Diameter))^4)*(Rayleigh number))/((Length^3)*((Inner Diameter^-0.6)+(Outer Diameter^-0.6))^5))

Rayleigh number based on length for annular space between concentric cylinders

Go Rayleigh number = Rayleigh Number(t)/((((ln(Outer Diameter/Inner Diameter))^4))/((Length^3)*((Inner Diameter^-0.6)+(Outer Diameter^-0.6))^5))

Rayleigh number based on turbulence for concentric spheres

Go Rayleigh Number(t) = ((Length*Rayleigh number)/(((Inside Diameter*Outside Diameter)^4)*(((Inside Diameter^-1.4)+(Outside Diameter^-1.4))^5)))^0.25

Reynolds Number given Rotational Speed

Go Reynolds Number(w) = Rotational speed*pi*(Diameter^2)/Kinematic Viscosity

Reynolds Number given Graetz Number

Go Reynolds Number = Graetz Number*Length/(Prandtl Number*Diameter)

Reynolds Number given Rotational Speed Formula

Reynolds Number(w) = Rotational speed*pi*(Diameter^2)/Kinematic Viscosity
Rew = w*pi*(D^2)/v

What is convection

Convection is the process of heat transfer by the bulk movement of molecules within fluids such as gases and liquids. The initial heat transfer between the object and the fluid takes place through conduction, but the bulk heat transfer happens due to the motion of the fluid.

Convection is the process of heat transfer in fluids by the actual motion of matter.
It happens in liquids and gases.
It may be natural or forced.
It involves a bulk transfer of portions of the fluid.

How to Calculate Reynolds Number given Rotational Speed?

Reynolds Number given Rotational Speed calculator uses Reynolds Number(w) = Rotational speed*pi*(Diameter^2)/Kinematic Viscosity to calculate the Reynolds Number(w), The Reynolds Number given Rotational Speed formula is defined as a dimensionless number used in fluid mechanics to indicate whether fluid flow past a body or in a duct is steady or turbulent. Reynolds Number(w) is denoted by Rew symbol.

How to calculate Reynolds Number given Rotational Speed using this online calculator? To use this online calculator for Reynolds Number given Rotational Speed, enter Rotational speed (w), Diameter (D) & Kinematic Viscosity (v) and hit the calculate button. Here is how the Reynolds Number given Rotational Speed calculation can be explained with given input values -> 3.926991 = 5*pi*(10^2)/400.

FAQ

What is Reynolds Number given Rotational Speed?

The Reynolds Number given Rotational Speed formula is defined as a dimensionless number used in fluid mechanics to indicate whether fluid flow past a body or in a duct is steady or turbulent and is represented as Rew = w*pi*(D^2)/v or Reynolds Number(w) = Rotational speed*pi*(Diameter^2)/Kinematic Viscosity. Rotational speed the number of turns of the object divided by time, specified as revolutions per minute, Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere & Kinematic viscosity the ratio between the dynamic viscosity μ and the density ρ of the fluid.

How to calculate Reynolds Number given Rotational Speed?

The Reynolds Number given Rotational Speed formula is defined as a dimensionless number used in fluid mechanics to indicate whether fluid flow past a body or in a duct is steady or turbulent is calculated using Reynolds Number(w) = Rotational speed*pi*(Diameter^2)/Kinematic Viscosity. To calculate Reynolds Number given Rotational Speed, you need Rotational speed (w), Diameter (D) & Kinematic Viscosity (v). With our tool, you need to enter the respective value for Rotational speed, Diameter & Kinematic Viscosity 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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