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Diameter of rotating cylinder in fluid given Reynolds number Formula

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Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere. Check FAQs

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

D - Diameter?Rew - Reynolds Number(w)?v_k - Kinematic Viscosity?w - Rotational Speed?π - Archimedes' constant?

Diameter of rotating cylinder in fluid given Reynolds number Example

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Here is how the Diameter of rotating cylinder in fluid given Reynolds number equation looks like with Values.

Here is how the Diameter of rotating cylinder in fluid given Reynolds number equation looks like with Units.

Here is how the Diameter of rotating cylinder in fluid given Reynolds number equation looks like.

3.9088 = {(\frac{0.6 \cdot 4}{3.1416 \cdot 5})}^{\frac{1}{2}}

3.9088m = {(\frac{0.6 \cdot 4MSt}{3.1416 \cdot 5rad/s})}^{\frac{1}{2}}

3.9088 = {(\frac{0.6 \cdot 4}{3.1416 \cdot 5})}^{\frac{1}{2}}

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Diameter of rotating cylinder in fluid given Reynolds number Solution

Follow our step by step solution on how to calculate Diameter of rotating cylinder in fluid given Reynolds number?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

D = {(\frac{0.6 \cdot 4MSt}{π \cdot 5rad/s})}^{\frac{1}{2}}

Next Step Substitute values of Constants

∴

D = {(\frac{0.6 \cdot 4MSt}{3.1416 \cdot 5rad/s})}^{\frac{1}{2}}

Next Step Convert Units

∴

D = {(\frac{0.6 \cdot 400m²/s}{3.1416 \cdot 5rad/s})}^{\frac{1}{2}}

Next Step Prepare to Evaluate

∴

D = {(\frac{0.6 \cdot 400}{3.1416 \cdot 5})}^{\frac{1}{2}}

Next Step Evaluate

∴

D = 3.90882009522336m

LAST Step Rounding Answer

∴

D = 3.9088m

Diameter of rotating cylinder in fluid given Reynolds number Formula Elements

Variables

Constants

Diameter

Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter

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.

Symbol: Rew

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Reynolds Number(w)

Kinematic Viscosity

Kinematic Viscosity is the ratio between the dynamic viscosity μ and the density ρ of the fluid.

Symbol: v_k

Measurement: Kinematic ViscosityUnit: MSt

Note: Value can be positive or negative.

Formulas to find Kinematic Viscosity

Rotational Speed

Rotational Speed is the number of turns of the object divided by time, specified as revolutions per minute.

Symbol: w

Measurement: Angular VelocityUnit: rad/s

Note: Value can be positive or negative.

Formulas to find Rotational Speed

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Rayleigh and Reynolds Number category

Go Rayleigh number based on turbulence for annular space between concentric cylinders

Ra c = (\frac{({(\ln (\frac{d o}{d i}))}^{4}) \cdot (Ra l)}{(L^{3}) \cdot {(({d i}^{- 0.6}) + ({d o}^{- 0.6}))}^{5}})

Go Rayleigh number based on length for annular space between concentric cylinders

Ra l = \frac{Ra c}{\frac{({(\ln (\frac{d o}{d i}))}^{4})}{(L^{3}) \cdot {(({d i}^{- 0.6}) + ({d o}^{- 0.6}))}^{5}}}

Go Rayleigh number based on turbulence for concentric spheres

Ra c = {(\frac{L \cdot Ra l}{({(D i \cdot D o)}^{4}) \cdot ({(({D i}^{- 1.4}) + ({D o}^{- 1.4}))}^{5})})}^{0.25}

Go Reynolds Number given Graetz Number

Re L = Gr \cdot \frac{L}{Pr \cdot D}

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

Diameter of rotating cylinder in fluid given Reynolds number evaluator uses Diameter = ((Reynolds Number(w)*Kinematic Viscosity)/(pi*Rotational Speed))^(1/2) to evaluate 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 evaluate Diameter of rotating cylinder in fluid given Reynolds number using this online evaluator? To use this online evaluator 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.

FAQs on Diameter of rotating cylinder in fluid given Reynolds number

What is the formula to find Diameter of rotating cylinder in fluid given Reynolds number?

The formula of Diameter of rotating cylinder in fluid given Reynolds number is expressed as Diameter = ((Reynolds Number(w)*Kinematic Viscosity)/(pi*Rotational Speed))^(1/2). Here is an example- 3.90882 = ((0.6*400)/(pi*5))^(1/2).

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

With Reynolds Number(w) (Rew), Kinematic Viscosity (v_k) & Rotational Speed (w) we can find Diameter of rotating cylinder in fluid given Reynolds number using the formula - Diameter = ((Reynolds Number(w)*Kinematic Viscosity)/(pi*Rotational Speed))^(1/2). This formula also uses Archimedes' constant .

Can the Diameter of rotating cylinder in fluid given Reynolds number be negative?

No, the Diameter of rotating cylinder in fluid given Reynolds number, measured in Length cannot be negative.

Which unit is used to measure Diameter of rotating cylinder in fluid given Reynolds number?

Diameter of rotating cylinder in fluid given Reynolds number is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Diameter of rotating cylinder in fluid given Reynolds number can be measured.

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Diameter of rotating cylinder in fluid given Reynolds number Formula

Diameter of rotating cylinder in fluid given Reynolds number Example

Diameter of rotating cylinder in fluid given Reynolds number Solution

Diameter of rotating cylinder in fluid given Reynolds number Formula Elements

Other formulas in Rayleigh and Reynolds Number category

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

FAQs on Diameter of rotating cylinder in fluid given Reynolds number

Variable Name