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Nusselt Number using Blasius Similarity Formula

GoNusselt number for constant wall temperature Formula

GoNusselt number if heating starts from distance Xo from leading edge Formula

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The Nusselt Number is the ratio of convective to conductive heat transfer at a boundary in a fluid. Convection includes both advection and diffusion. Check FAQs

Nu = ((0.664) \cdot ({(Re L)}^{0.5}) \cdot ({(Pr L)}^{\frac{1}{3}}))

Nu - Nusselt Number?Re_L - Laminar Reynolds Number?Pr_L - Laminar Prandtl Number?

Nusselt Number using Blasius Similarity Example

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Here is how the Nusselt Number using Blasius Similarity equation looks like with Values.

Here is how the Nusselt Number using Blasius Similarity equation looks like with Units.

Here is how the Nusselt Number using Blasius Similarity equation looks like.

47.7464 = ((0.664) \cdot ({(6000)}^{0.5}) \cdot ({(0.8)}^{\frac{1}{3}}))

47.7464 = ((0.664) \cdot ({(6000)}^{0.5}) \cdot ({(0.8)}^{\frac{1}{3}}))

47.7464 = ((0.664) \cdot ({(6000)}^{0.5}) \cdot ({(0.8)}^{\frac{1}{3}}))

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Nusselt Number using Blasius Similarity Solution

Follow our step by step solution on how to calculate Nusselt Number using Blasius Similarity?

FIRST Step Consider the formula

Nu = ((0.664) \cdot ({(Re L)}^{0.5}) \cdot ({(Pr L)}^{\frac{1}{3}}))

Next Step Substitute values of Variables

∴

Nu = ((0.664) \cdot ({(6000)}^{0.5}) \cdot ({(0.8)}^{\frac{1}{3}}))

Next Step Prepare to Evaluate

∴

Nu = ((0.664) \cdot ({(6000)}^{0.5}) \cdot ({(0.8)}^{\frac{1}{3}}))

Next Step Evaluate

∴

Nu = 47.7463708467053

LAST Step Rounding Answer

∴

Nu = 47.7464

Nusselt Number using Blasius Similarity Formula Elements

Variables

Nusselt Number

The Nusselt Number is the ratio of convective to conductive heat transfer at a boundary in a fluid. Convection includes both advection and diffusion.

Symbol: Nu

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Nusselt Number

Laminar Reynolds Number

Laminar Reynolds Number is the ratio of inertial forces to viscous forces within a fluid that is subjected to relative internal movement due to different fluid velocities.

Symbol: Re_L

Measurement: NAUnit: Unitless

Note: Value should be less than 200000.

Formulas to find Laminar Reynolds Number

Laminar Prandtl Number

Laminar Prandtl Number is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity.

Symbol: Pr_L

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.59.

Formulas to find Laminar Prandtl Number

Other Formulas to find Nusselt Number

Go Nusselt number for constant wall temperature

Nu = 0.332 \cdot ({Re}^{0.5}) \cdot ({Pr}^{0.333})

Go Nusselt number if heating starts from distance Xo from leading edge

Nu = 0.332 \cdot ({Re x}^{0.5}) \cdot ({Pr}^{0.333}) \cdot {(1 - {(\frac{xo}{x})}^{0.75})}^{- 0.333}

Go Nusselt number for liquid metals and for silicones

Nu = \frac{0.3387 \cdot ({Re}^{0.5}) \cdot ({Pr}^{0.333})}{{(1 + {(\frac{0.0468}{Pr})}^{0.67})}^{0.25}}

Go Nusselt number for liquid metals only

Nu = 0.565 \cdot {(Re \cdot Pr)}^{0.5}

Other formulas in Laminar Flow category

Go Hydrodynamic boundary layer thickness at distance X from leading edge

𝛿hx = 5 \cdot x \cdot {Re x}^{- 0.5}

Go Thermal boundary layer thickness at distance X from leading edge

𝛿Tx = 𝛿hx \cdot {Pr}^{- 0.333}

Go Displacement thickness

𝛿 d = \frac{𝛿hx}{3}

Go Momentum thickness

θ = \frac{𝛿hx}{7}

How to Evaluate Nusselt Number using Blasius Similarity?

Nusselt Number using Blasius Similarity evaluator uses Nusselt Number = ((0.664)*((Laminar Reynolds Number)^(0.5))*((Laminar Prandtl Number)^(1/3))) to evaluate the Nusselt Number, Nusselt Number using Blasius Similarity formula is defined as a dimensionless value that characterizes the convective heat transfer between a fluid and a flat plate, providing a measure of the heat transfer coefficient in relation to the flow properties and plate characteristics. Nusselt Number is denoted by Nu symbol.

How to evaluate Nusselt Number using Blasius Similarity using this online evaluator? To use this online evaluator for Nusselt Number using Blasius Similarity, enter Laminar Reynolds Number (Re_L) & Laminar Prandtl Number (Pr_L) and hit the calculate button.

FAQs on Nusselt Number using Blasius Similarity

What is the formula to find Nusselt Number using Blasius Similarity?

The formula of Nusselt Number using Blasius Similarity is expressed as Nusselt Number = ((0.664)*((Laminar Reynolds Number)^(0.5))*((Laminar Prandtl Number)^(1/3))). Here is an example- 47.74637 = ((0.664)*((6000)^(0.5))*((0.8)^(1/3))).

How to calculate Nusselt Number using Blasius Similarity?

With Laminar Reynolds Number (Re_L) & Laminar Prandtl Number (Pr_L) we can find Nusselt Number using Blasius Similarity using the formula - Nusselt Number = ((0.664)*((Laminar Reynolds Number)^(0.5))*((Laminar Prandtl Number)^(1/3))).

What are the other ways to Calculate Nusselt Number?

Here are the different ways to Calculate Nusselt Number-

Nusselt Number=0.332*(Reynolds Number^0.5)*(Prandtl Number^0.333)
Nusselt Number=0.332*(Reynolds Number(x)^0.5)*(Prandtl Number^0.333)*(1-(Leading Edge Distance/Distance from Point to YY Axis)^0.75)^(-0.333)
Nusselt Number=(0.3387*(Reynolds Number^0.5)*(Prandtl Number^0.333))/((1+(0.0468/Prandtl Number)^(0.67))^0.25)

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: Unit

Nusselt Number using Blasius Similarity Formula

​GoNusselt number for constant wall temperature Formula

​GoNusselt number if heating starts from distance Xo from leading edge Formula

Nusselt Number using Blasius Similarity Example

Nusselt Number using Blasius Similarity Solution

Nusselt Number using Blasius Similarity Formula Elements

Other Formulas to find Nusselt Number

Other formulas in Laminar Flow category

How to Evaluate Nusselt Number using Blasius Similarity?

FAQs on Nusselt Number using Blasius Similarity

Variable Name

GoNusselt number for constant wall temperature Formula

GoNusselt number if heating starts from distance Xo from leading edge Formula