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Nusselt Number at Distance X from Leading Edge by Analogy Formula

GoNusselt number at distance x from leading edge Formula

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Nusselt Number(x) is the ratio of convective to conductive heat transfer across a boundary. Check FAQs

Nux = \frac{(\frac{C fx}{2}) \cdot Re x \cdot Pr}{1 + 12.8 \cdot ({(\frac{C fx}{2})}^{.5}) \cdot (({Pr}^{0.68}) - 1)}

Nux - Nusselt Number(x)?C_fx - Local Friction Coefficient?Re_x - Reynolds Number(x)?Pr - Prandtl Number?

Nusselt Number at Distance X from Leading Edge by Analogy Example

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Here is how the Nusselt Number at Distance X from Leading Edge by Analogy equation looks like with Values.

Here is how the Nusselt Number at Distance X from Leading Edge by Analogy equation looks like with Units.

Here is how the Nusselt Number at Distance X from Leading Edge by Analogy equation looks like.

-8.2014 = \frac{(\frac{0.328}{2}) \cdot 8.314 \cdot 0.7}{1 + 12.8 \cdot ({(\frac{0.328}{2})}^{.5}) \cdot (({0.7}^{0.68}) - 1)}

-8.2014 = \frac{(\frac{0.328}{2}) \cdot 8.314 \cdot 0.7}{1 + 12.8 \cdot ({(\frac{0.328}{2})}^{.5}) \cdot (({0.7}^{0.68}) - 1)}

-8.2014 = \frac{(\frac{0.328}{2}) \cdot 8.314 \cdot 0.7}{1 + 12.8 \cdot ({(\frac{0.328}{2})}^{.5}) \cdot (({0.7}^{0.68}) - 1)}

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Nusselt Number at Distance X from Leading Edge by Analogy Solution

Follow our step by step solution on how to calculate Nusselt Number at Distance X from Leading Edge by Analogy?

FIRST Step Consider the formula

Nux = \frac{(\frac{C fx}{2}) \cdot Re x \cdot Pr}{1 + 12.8 \cdot ({(\frac{C fx}{2})}^{.5}) \cdot (({Pr}^{0.68}) - 1)}

Next Step Substitute values of Variables

∴

Nux = \frac{(\frac{0.328}{2}) \cdot 8.314 \cdot 0.7}{1 + 12.8 \cdot ({(\frac{0.328}{2})}^{.5}) \cdot (({0.7}^{0.68}) - 1)}

Next Step Prepare to Evaluate

∴

Nux = \frac{(\frac{0.328}{2}) \cdot 8.314 \cdot 0.7}{1 + 12.8 \cdot ({(\frac{0.328}{2})}^{.5}) \cdot (({0.7}^{0.68}) - 1)}

Next Step Evaluate

∴

Nux = -8.20137200541544

LAST Step Rounding Answer

∴

Nux = -8.2014

Nusselt Number at Distance X from Leading Edge by Analogy Formula Elements

Variables

Nusselt Number(x)

Nusselt Number(x) is the ratio of convective to conductive heat transfer across a boundary.

Symbol: Nux

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Nusselt Number(x)

Local Friction Coefficient

Local Friction Coefficient for the flow in ducts is the ratio of wall shearing stress and dynamic head of the stream.

Symbol: C_fx

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Local Friction Coefficient

Reynolds Number(x)

Reynolds number(x) at a distance X from the leading edge.

Symbol: Re_x

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Reynolds Number(x)

Prandtl Number

The Prandtl number (Pr) or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity.

Symbol: Pr

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Prandtl Number

Other Formulas to find Nusselt Number(x)

Go Nusselt number at distance x from leading edge

Nux = 0.0296 \cdot ({Re x}^{0.8}) \cdot ({Pr}^{0.33})

Other formulas in Turbulent Flow category

Go Hydrodynamic boundary layer thickness at X

𝛿hx = 0.381 \cdot x L \cdot ({Re}^{- 0.2})

Go Displacement thickness at X

𝛿 dx = \frac{𝛿hx}{8}

Go Hydrodynamic boundary layer thickness given displacement thickness

𝛿hx = 8 \cdot 𝛿 dx

Go Momentum thickness at X

θ x = (\frac{7}{72}) \cdot 𝛿hx

How to Evaluate Nusselt Number at Distance X from Leading Edge by Analogy?

Nusselt Number at Distance X from Leading Edge by Analogy evaluator uses Nusselt Number(x) = ((Local Friction Coefficient/2)*Reynolds Number(x)*Prandtl Number)/(1+12.8*((Local Friction Coefficient/2)^.5)*((Prandtl Number^0.68)-1)) to evaluate the Nusselt Number(x), Nusselt Number at Distance X from Leading Edge by Analogy formula is defined as a dimensionless quantity that characterizes the convective heat transfer between a fluid and a flat plate, providing a measure of the heat transfer rate at a specific distance from the leading edge of the plate. Nusselt Number(x) is denoted by Nux symbol.

How to evaluate Nusselt Number at Distance X from Leading Edge by Analogy using this online evaluator? To use this online evaluator for Nusselt Number at Distance X from Leading Edge by Analogy, enter Local Friction Coefficient (C_fx), Reynolds Number(x) (Re_x) & Prandtl Number (Pr) and hit the calculate button.

FAQs on Nusselt Number at Distance X from Leading Edge by Analogy

What is the formula to find Nusselt Number at Distance X from Leading Edge by Analogy?

The formula of Nusselt Number at Distance X from Leading Edge by Analogy is expressed as Nusselt Number(x) = ((Local Friction Coefficient/2)*Reynolds Number(x)*Prandtl Number)/(1+12.8*((Local Friction Coefficient/2)^.5)*((Prandtl Number^0.68)-1)). Here is an example- -8.201372 = ((0.328/2)*8.314*0.7)/(1+12.8*((0.328/2)^.5)*((0.7^0.68)-1)).

How to calculate Nusselt Number at Distance X from Leading Edge by Analogy?

With Local Friction Coefficient (C_fx), Reynolds Number(x) (Re_x) & Prandtl Number (Pr) we can find Nusselt Number at Distance X from Leading Edge by Analogy using the formula - Nusselt Number(x) = ((Local Friction Coefficient/2)*Reynolds Number(x)*Prandtl Number)/(1+12.8*((Local Friction Coefficient/2)^.5)*((Prandtl Number^0.68)-1)).

What are the other ways to Calculate Nusselt Number(x)?

Here are the different ways to Calculate Nusselt Number(x)-

Nusselt Number(x)=0.0296*(Reynolds Number(x)^0.8)*(Prandtl Number^0.33)

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Nusselt Number at Distance X from Leading Edge by Analogy Formula

​GoNusselt number at distance x from leading edge Formula

Nusselt Number at Distance X from Leading Edge by Analogy Example

Nusselt Number at Distance X from Leading Edge by Analogy Solution

Nusselt Number at Distance X from Leading Edge by Analogy Formula Elements

Other Formulas to find Nusselt Number(x)

Other formulas in Turbulent Flow category

How to Evaluate Nusselt Number at Distance X from Leading Edge by Analogy?

FAQs on Nusselt Number at Distance X from Leading Edge by Analogy

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GoNusselt number at distance x from leading edge Formula