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)/(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 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 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: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
w = (Rew*v)/(pi*D^2) --> (0.6*400)/(pi*10^2)
Evaluating ... ...
w = 0.763943726841098
STEP 3: Convert Result to Output's Unit
0.763943726841098 Radian per Second --> No Conversion Required
FINAL ANSWER
0.763943726841098 0.763944 Radian per Second <-- Rotational speed
(Calculation completed in 00.004 seconds)

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23 Free convection Calculators

Bingham Number of Plastic Fluids from Isothermal Semi-circular Cylinder
Go Bingham Number = (Fluid Yield Stress/Plastic Viscosity)*((Diameter of Cylinder 1/(Acceleration due to Gravity*Coefficient Of Volumetric Expansion* Change in Temperature)))^(0.5)
Outside surface temperature for annular space between concentric cylinders
Go Outside Temperature = Inside Temperature-(Heat Transfer per Unit Length*((ln(Outside Diameter/Inside Diameter))/(2*pi*Thermal Conductivity)))
Inside surface temperature for annular space between concentric cylinders
Go Inside Temperature = (Heat Transfer per Unit Length*((ln(Outside Diameter/Inside Diameter))/(2*pi*Thermal Conductivity)))+Outside Temperature
Outside diameter of concentric sphere
Go Outside Diameter = Heat transfer/((Thermal Conductivity*pi*(Inside Temperature-Outside Temperature))*((Inside Diameter)/Length))
Inside diameter of concentric sphere
Go Inside Diameter = Heat transfer/((Thermal Conductivity*pi*(Inside Temperature-Outside Temperature))*((Outside Diameter)/Length))
Length of space between two concentric sphere
Go Length = (Thermal Conductivity*pi*(Inside Temperature-Outside Temperature))*((Outside Diameter*Inside Diameter)/Heat transfer)
Inside temperature of concentric sphere
Go Inside Temperature = (Heat transfer/((Thermal Conductivity*pi*(Outer Diameter*Inner Diameter)/Length)))+Outside Temperature
Length of annular space between two concentric cylinders
Go Length = ((((ln(Outer Diameter/Inner Diameter))^4)*(Rayleigh number))/(((Inner Diameter^-0.6)+(Outer Diameter^-0.6))^5))^-3
Boundary layer thickness on vertical surfaces
Go Boundary Layer Thickens = 3.93*Distance from Point to YY Axis*(Prandtl Number^(-0.5))*((0.952+Prandtl Number)^0.25)*(Local Grashof Number^(-0.25))
Thermal conductivity of fluid
Go Thermal Conductivity = Thermal Conductivity/(0.386*(((Prandtl Number)/(0.861+Prandtl Number))^0.25)*(Rayleigh Number(t))^0.25)
Diameter of rotating cylinder in fluid given Reynolds number
Go Diameter = ((Reynolds Number(w)*Kinematic Viscosity)/(pi*Rotational speed))^(1/2)
Rotational speed given Reynolds number
Go Rotational speed = (Reynolds Number(w)*Kinematic Viscosity)/(pi*Diameter^2)
Kinematic viscosity given Reynolds number based on rotational speed
Go Kinematic Viscosity = Rotational speed*pi*(Diameter^2)/Reynolds Number(w)
Prandtl number given Graetz numbber
Go Prandtl Number = Graetz Number*Length/(Reynolds Number*Diameter)
Diameter given Graetz number
Go Diameter = Graetz Number*Length/(Reynolds Number*Prandtl Number)
Length given Graetz number
Go Length = Reynolds Number*Prandtl Number*(Diameter/Graetz Number)
Convective mass transfer coefficient at distance X from leading edge
Go Convective Mass Transfer Coefficient = (2*Thermal Conductivity)/Boundary Layer Thickens
Diameter at which turbulence starts
Go Diameter = (((5*10^5)*Kinematic Viscosity)/(Rotational speed))^1/2
Kinematic viscosity of fluid
Go Kinematic Viscosity = (Rotational speed*Diameter^2)/(5*10^5)
Rotational speed of disc
Go Rotational speed = (5*10^5)*Kinematic Viscosity/(Diameter^2)
Outside radius from gap length
Go Outer Radius = Gap length+Inside Radius
Inside radius from gap length
Go Inside Radius = Outer Radius-Gap length
Gap length
Go Gap length = Outer Radius-Inside Radius

Rotational speed given Reynolds number Formula

Rotational speed = (Reynolds Number(w)*Kinematic Viscosity)/(pi*Diameter^2)
w = (Rew*v)/(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) & Diameter (D) and hit the calculate button. Here is how the Rotational speed given Reynolds number calculation can be explained with given input values -> 0.763944 = (0.6*400)/(pi*10^2).

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)/(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 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) & 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.
How many ways are there to calculate Rotational speed?
In this formula, Rotational speed uses Reynolds Number(w), Kinematic Viscosity & Diameter. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Rotational speed = (5*10^5)*Kinematic Viscosity/(Diameter^2)
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