Rotational speed given Reynolds number Calculator

✖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(w) [Rew]			+10% -10%
✖Kinematic Viscosity is the ratio between the dynamic viscosity μ and the density ρ of the fluid.ⓘ Kinematic Viscosity [v_k]			+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%

✖Rotational Speed is the number of turns of the object divided by time, specified as revolutions per minute.ⓘ Rotational speed given Reynolds number [w]

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Rotational speed given Reynolds number Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Rotational Speed - (Measured in Radian per Second) - Rotational Speed is the number of turns of the object divided by time, specified as revolutions per minute.
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.
Kinematic Viscosity - (Measured in Square Meter per Second) - Kinematic Viscosity is the ratio between the dynamic viscosity μ and the density ρ of the fluid.
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.

STEP 1: Convert Input(s) to Base Unit

Reynolds Number(w): 0.6 --> No Conversion Required
Kinematic Viscosity: 4 Megastokes --> 400 Square Meter per Second (Check conversion here)
Diameter: 3.9 Meter --> 3.9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w = (Rew*v_k)/(pi*D^2) --> (0.6*400)/(pi*3.9^2)

Evaluating ... ...

w = 5.0226412021111

STEP 3: Convert Result to Output's Unit

5.0226412021111 Radian per Second --> No Conversion Required

FINAL ANSWER

5.0226412021111 ≈ 5.022641 Radian per Second <-- Rotational Speed

(Calculation completed in 00.004 seconds)

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< Rayleigh and Reynolds Number Calculators

Rayleigh number based on turbulence for annular space between concentric cylinders

LaTeX 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

LaTeX 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

LaTeX 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 Graetz Number

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

Rotational speed given Reynolds number Formula

LaTeX Go

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

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 Rotational speed given Reynolds number?

Rotational speed given Reynolds number calculator uses Rotational Speed = (Reynolds Number(w)*Kinematic Viscosity)/(pi*Diameter^2) to calculate the Rotational Speed, The Rotational speed given Reynolds number formula is defined as the number of turns of the object divided by time, specified as revolutions per minute. Rotational Speed is denoted by w symbol.

How to calculate Rotational speed given Reynolds number using this online calculator? To use this online calculator for Rotational speed given Reynolds number, enter Reynolds Number(w) (Rew), Kinematic Viscosity (v_k) & Diameter (D) and hit the calculate button. Here is how the Rotational speed given Reynolds number calculation can be explained with given input values -> 5.022641 = (0.6*400)/(pi*3.9^2).

FAQ

What is Rotational speed given Reynolds number?

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

How to calculate Rotational speed given Reynolds number?

The Rotational speed given Reynolds number formula is defined as the number of turns of the object divided by time, specified as revolutions per minute is calculated using Rotational Speed = (Reynolds Number(w)*Kinematic Viscosity)/(pi*Diameter^2). To calculate Rotational speed given Reynolds number, you need Reynolds Number(w) (Rew), Kinematic Viscosity (v_k) & Diameter (D). With our tool, you need to enter the respective value for Reynolds Number(w), Kinematic Viscosity & Diameter 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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