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Rayleigh number based on turbulence for concentric spheres Formula

GoRayleigh number based on turbulence for annular space between concentric cylinders Formula

GoRayleigh Number Formula

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Rayleigh Number(t) is a dimensionless parameter that is a measure of the instability of a layer of fluid due to differences of temperature and density at the top and bottom. Check FAQs

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}

Ra_c - Rayleigh Number(t)?L - Length?Ra_l - Rayleigh Number?D_i - Inside Diameter?D_o - Outside Diameter?

Rayleigh number based on turbulence for concentric spheres Example

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Here is how the Rayleigh number based on turbulence for concentric spheres equation looks like with Values.

Here is how the Rayleigh number based on turbulence for concentric spheres equation looks like with Units.

Here is how the Rayleigh number based on turbulence for concentric spheres equation looks like.

0.3333 = {(\frac{3 \cdot 0.25}{({(0.005 \cdot 0.05)}^{4}) \cdot ({(({0.005}^{- 1.4}) + ({0.05}^{- 1.4}))}^{5})})}^{0.25}

0.3333 = {(\frac{3m \cdot 0.25}{({(0.005m \cdot 0.05m)}^{4}) \cdot ({(({0.005m}^{- 1.4}) + ({0.05m}^{- 1.4}))}^{5})})}^{0.25}

0.3333 = {(\frac{3 \cdot 0.25}{({(0.005 \cdot 0.05)}^{4}) \cdot ({(({0.005}^{- 1.4}) + ({0.05}^{- 1.4}))}^{5})})}^{0.25}

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Rayleigh number based on turbulence for concentric spheres Solution

Follow our step by step solution on how to calculate Rayleigh number based on turbulence for concentric spheres?

FIRST Step Consider the formula

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}

Next Step Substitute values of Variables

∴

Ra c = {(\frac{3m \cdot 0.25}{({(0.005m \cdot 0.05m)}^{4}) \cdot ({(({0.005m}^{- 1.4}) + ({0.05m}^{- 1.4}))}^{5})})}^{0.25}

Next Step Prepare to Evaluate

∴

Ra c = {(\frac{3 \cdot 0.25}{({(0.005 \cdot 0.05)}^{4}) \cdot ({(({0.005}^{- 1.4}) + ({0.05}^{- 1.4}))}^{5})})}^{0.25}

Next Step Evaluate

∴

Ra c = 0.333295886104076

LAST Step Rounding Answer

∴

Ra c = 0.3333

Rayleigh number based on turbulence for concentric spheres Formula Elements

Variables

Rayleigh Number(t)

Rayleigh Number(t) is a dimensionless parameter that is a measure of the instability of a layer of fluid due to differences of temperature and density at the top and bottom.

Symbol: Ra_c

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Rayleigh Number(t)

Length

Length is the measurement or extent of something from end to end.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length

Rayleigh Number

Rayleigh Number is a dimensionless parameter that is a measure of the instability of a layer of fluid due to differences of temperature and density at the top and bottom.

Symbol: Ra_l

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Rayleigh Number

Inside Diameter

Inside Diameter is the diameter of the inside surface.

Symbol: D_i

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Inside Diameter

Outside Diameter

Outside Diameter is the diameter of the outside surface.

Symbol: D_o

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Outside Diameter

Other Formulas to find Rayleigh Number(t)

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

Ra c = G \cdot Pr

Other formulas in Rayleigh and Reynolds Number category

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 Reynolds Number given Graetz Number

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

Go Reynolds Number given Rotational Speed

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

Go Reynolds number given Inertia and Viscous Force

Re = \frac{F i}{μ}

How to Evaluate Rayleigh number based on turbulence for concentric spheres?

Rayleigh number based on turbulence for concentric spheres evaluator uses Rayleigh Number(t) = ((Length*Rayleigh Number)/(((Inside Diameter*Outside Diameter)^4)*(((Inside Diameter^-1.4)+(Outside Diameter^-1.4))^5)))^0.25 to evaluate the Rayleigh Number(t), The Rayleigh number based on turbulence for concentric spheres formula is defined as a dimensionless parameter that is a measure of the instability of a layer of fluid due to differences of temperature and density at the top and bottom. Rayleigh Number(t) is denoted by Ra_c symbol.

How to evaluate Rayleigh number based on turbulence for concentric spheres using this online evaluator? To use this online evaluator for Rayleigh number based on turbulence for concentric spheres, enter Length (L), Rayleigh Number (Ra_l), Inside Diameter (D_i) & Outside Diameter (D_o) and hit the calculate button.

FAQs on Rayleigh number based on turbulence for concentric spheres

What is the formula to find Rayleigh number based on turbulence for concentric spheres?

The formula of Rayleigh number based on turbulence for concentric spheres is expressed as Rayleigh Number(t) = ((Length*Rayleigh Number)/(((Inside Diameter*Outside Diameter)^4)*(((Inside Diameter^-1.4)+(Outside Diameter^-1.4))^5)))^0.25. Here is an example- 0.333296 = ((3*0.25)/(((0.005*0.05)^4)*(((0.005^-1.4)+(0.05^-1.4))^5)))^0.25.

How to calculate Rayleigh number based on turbulence for concentric spheres?

With Length (L), Rayleigh Number (Ra_l), Inside Diameter (D_i) & Outside Diameter (D_o) we can find Rayleigh number based on turbulence for concentric spheres using the formula - Rayleigh Number(t) = ((Length*Rayleigh Number)/(((Inside Diameter*Outside Diameter)^4)*(((Inside Diameter^-1.4)+(Outside Diameter^-1.4))^5)))^0.25.

What are the other ways to Calculate Rayleigh Number(t)?

Here are the different ways to Calculate Rayleigh Number(t)-

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

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Rayleigh number based on turbulence for concentric spheres Formula

​GoRayleigh number based on turbulence for annular space between concentric cylinders Formula

​GoRayleigh Number Formula

Rayleigh number based on turbulence for concentric spheres Example

Rayleigh number based on turbulence for concentric spheres Solution

Rayleigh number based on turbulence for concentric spheres Formula Elements

Other Formulas to find Rayleigh Number(t)

Other formulas in Rayleigh and Reynolds Number category

How to Evaluate Rayleigh number based on turbulence for concentric spheres?

FAQs on Rayleigh number based on turbulence for concentric spheres

Variable Name

GoRayleigh number based on turbulence for annular space between concentric cylinders Formula

GoRayleigh Number Formula