Diameter of rotating cylinder in fluid 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%
✖Rotational Speed is 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 of rotating cylinder in fluid given Reynolds number [D]

⎘ Copy

👎

Formula

✖

Diameter of rotating cylinder in fluid given Reynolds number

Formula

D = {(\frac{Rew \cdot v k}{π \cdot w})}^{\frac{1}{2}}

Example

3.90882 m = {(\frac{0.6 \cdot 4 MSt}{π \cdot 5.0 rad/s})}^{\frac{1}{2}}

Calculator

LaTeX

Reset

👍

Download Rayleigh and Reynolds Number Formulas PDF PDF Image

Diameter of rotating cylinder in fluid given Reynolds number Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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.

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)
Rotational Speed: 5 Radian per Second --> 5 Radian per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = ((Rew*v_k)/(pi*w))^(1/2) --> ((0.6*400)/(pi*5))^(1/2)

Evaluating ... ...

D = 3.90882009522336

STEP 3: Convert Result to Output's Unit

3.90882009522336 Meter --> No Conversion Required

FINAL ANSWER

3.90882009522336 ≈ 3.90882 Meter <-- Diameter

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Heat and Mass Transfer » Convection » Free convection » Mechanical » Rayleigh and Reynolds Number » Diameter of rotating cylinder in fluid given Reynolds number

Credits

Created by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

Nishan Poojary has created this Calculator and 500+ more calculators!

Verified by Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

Rajat Vishwakarma has verified this Calculator and 400+ more calculators!

< 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 Graetz Number

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

Diameter of rotating cylinder in fluid given Reynolds number Formula

Diameter = ((Reynolds Number(w)*Kinematic Viscosity)/(pi*Rotational Speed))^(1/2)
D = ((Rew*v_k)/(pi*w))^(1/2)

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 Diameter of rotating cylinder in fluid given Reynolds number?

Diameter of rotating cylinder in fluid given Reynolds number calculator uses Diameter = ((Reynolds Number(w)*Kinematic Viscosity)/(pi*Rotational Speed))^(1/2) to calculate the Diameter, The Diameter of rotating cylinder in fluid given Reynolds number formula is defined as a straight line passing from side to side through the centre of a sphere. Diameter is denoted by D symbol.

How to calculate Diameter of rotating cylinder in fluid given Reynolds number using this online calculator? To use this online calculator for Diameter of rotating cylinder in fluid given Reynolds number, enter Reynolds Number(w) (Rew), Kinematic Viscosity (v_k) & Rotational Speed (w) and hit the calculate button. Here is how the Diameter of rotating cylinder in fluid given Reynolds number calculation can be explained with given input values -> 3.90882 = ((0.6*400)/(pi*5))^(1/2).

FAQ

What is Diameter of rotating cylinder in fluid given Reynolds number?

The Diameter of rotating cylinder in fluid given Reynolds number formula is defined as a straight line passing from side to side through the centre of a sphere and is represented as D = ((Rew*v_k)/(pi*w))^(1/2) or Diameter = ((Reynolds Number(w)*Kinematic Viscosity)/(pi*Rotational Speed))^(1/2). 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 & Rotational Speed is the number of turns of the object divided by time, specified as revolutions per minute.

How to calculate Diameter of rotating cylinder in fluid given Reynolds number?

The Diameter of rotating cylinder in fluid given Reynolds number formula is defined as a straight line passing from side to side through the centre of a sphere is calculated using Diameter = ((Reynolds Number(w)*Kinematic Viscosity)/(pi*Rotational Speed))^(1/2). To calculate Diameter of rotating cylinder in fluid given Reynolds number, you need Reynolds Number(w) (Rew), Kinematic Viscosity (v_k) & Rotational Speed (w). With our tool, you need to enter the respective value for Reynolds Number(w), Kinematic Viscosity & Rotational Speed and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search