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Local Nusselt Number for Constant Heat Flux given Prandtl Number Formula

GoLocal Nusselt Number for Plate Heated over its Entire Length Formula

GoCorrelation for Local Nusselt Number for Laminar Flow on Isothermal Flat Plate Formula

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Local Nusselt number is the ratio of convective to conductive heat transfer across a boundary. Check FAQs

Nu x = 0.453 \cdot ({Re l}^{\frac{1}{2}}) \cdot ({Pr}^{\frac{1}{3}})

Nu_x - Local Nusselt number?Re_l - Local Reynolds Number?Pr - Prandtl Number?

Local Nusselt Number for Constant Heat Flux given Prandtl Number Example

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Here is how the Local Nusselt Number for Constant Heat Flux given Prandtl Number equation looks like with Values.

Here is how the Local Nusselt Number for Constant Heat Flux given Prandtl Number equation looks like with Units.

Here is how the Local Nusselt Number for Constant Heat Flux given Prandtl Number equation looks like.

0.6514 = 0.453 \cdot ({0.55}^{\frac{1}{2}}) \cdot ({7.29}^{\frac{1}{3}})

0.6514 = 0.453 \cdot ({0.55}^{\frac{1}{2}}) \cdot ({7.29}^{\frac{1}{3}})

0.6514 = 0.453 \cdot ({0.55}^{\frac{1}{2}}) \cdot ({7.29}^{\frac{1}{3}})

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Heat Transfer » fx Local Nusselt Number for Constant Heat Flux given Prandtl Number

Local Nusselt Number for Constant Heat Flux given Prandtl Number Solution

Follow our step by step solution on how to calculate Local Nusselt Number for Constant Heat Flux given Prandtl Number?

FIRST Step Consider the formula

Nu x = 0.453 \cdot ({Re l}^{\frac{1}{2}}) \cdot ({Pr}^{\frac{1}{3}})

Next Step Substitute values of Variables

∴

Nu x = 0.453 \cdot ({0.55}^{\frac{1}{2}}) \cdot ({7.29}^{\frac{1}{3}})

Next Step Prepare to Evaluate

∴

Nu x = 0.453 \cdot ({0.55}^{\frac{1}{2}}) \cdot ({7.29}^{\frac{1}{3}})

Next Step Evaluate

∴

Nu x = 0.651411452322781

LAST Step Rounding Answer

∴

Nu x = 0.6514

Local Nusselt Number for Constant Heat Flux given Prandtl Number Formula Elements

Variables

Local Nusselt number

Local Nusselt number is the ratio of convective to conductive heat transfer across a boundary.

Symbol: Nu_x

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Local Nusselt number

Local Reynolds Number

Local Reynolds Number is the ratio of inertial forces to viscous forces.

Symbol: Re_l

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Local Reynolds Number

Prandtl Number

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 Local Nusselt number

Go Local Nusselt Number for Plate Heated over its Entire Length

Nu x = 0.332 \cdot ({Pr}^{\frac{1}{3}}) \cdot ({Re l}^{\frac{1}{2}})

Go Correlation for Local Nusselt Number for Laminar Flow on Isothermal Flat Plate

Nu x = \frac{0.3387 \cdot ({Re l}^{\frac{1}{2}}) \cdot ({Pr}^{\frac{1}{3}})}{{(1 + ({(\frac{0.0468}{Pr})}^{\frac{2}{3}}))}^{\frac{1}{4}}}

Go Correlation for Nusselt Number for Constant Heat Flux

Nu x = \frac{0.4637 \cdot ({Re l}^{\frac{1}{2}}) \cdot ({Pr}^{\frac{1}{3}})}{{(1 + ({(\frac{0.0207}{Pr})}^{\frac{2}{3}}))}^{\frac{1}{4}}}

Other formulas in Convection Heat Transfer category

Go Mass Flow Rate from Continuity Relation for One Dimensional Flow in Tube

ṁ = ρ Fluid \cdot A T \cdot u m

Go Mass Velocity

G = \frac{ṁ}{A T}

Go Mass Velocity given Mean Velocity

G = ρ Fluid \cdot u m

Go Reynolds Number given Mass Velocity

Re d = \frac{G \cdot d}{μ}

How to Evaluate Local Nusselt Number for Constant Heat Flux given Prandtl Number?

Local Nusselt Number for Constant Heat Flux given Prandtl Number evaluator uses Local Nusselt number = 0.453*(Local Reynolds Number^(1/2))*(Prandtl Number^(1/3)) to evaluate the Local Nusselt number, The Local Nusselt Number for Constant Heat Flux given Prandtl Number formula is defined as the function of reynolds number and Prandtl Number. The objective is to find the distribution of the plate-surface temperature for given fluid-flow conditions. Local Nusselt number is denoted by Nu_x symbol.

How to evaluate Local Nusselt Number for Constant Heat Flux given Prandtl Number using this online evaluator? To use this online evaluator for Local Nusselt Number for Constant Heat Flux given Prandtl Number, enter Local Reynolds Number (Re_l) & Prandtl Number (Pr) and hit the calculate button.

FAQs on Local Nusselt Number for Constant Heat Flux given Prandtl Number

What is the formula to find Local Nusselt Number for Constant Heat Flux given Prandtl Number?

The formula of Local Nusselt Number for Constant Heat Flux given Prandtl Number is expressed as Local Nusselt number = 0.453*(Local Reynolds Number^(1/2))*(Prandtl Number^(1/3)). Here is an example- 0.651411 = 0.453*(0.55^(1/2))*(7.29^(1/3)).

How to calculate Local Nusselt Number for Constant Heat Flux given Prandtl Number?

With Local Reynolds Number (Re_l) & Prandtl Number (Pr) we can find Local Nusselt Number for Constant Heat Flux given Prandtl Number using the formula - Local Nusselt number = 0.453*(Local Reynolds Number^(1/2))*(Prandtl Number^(1/3)).

What are the other ways to Calculate Local Nusselt number?

Here are the different ways to Calculate Local Nusselt number-

Local Nusselt number=0.332*(Prandtl Number^(1/3))*(Local Reynolds Number^(1/2))
Local Nusselt number=(0.3387*(Local Reynolds Number^(1/2))*(Prandtl Number^(1/3)))/(1+((0.0468/Prandtl Number)^(2/3)))^(1/4)
Local Nusselt number=(0.4637*(Local Reynolds Number^(1/2))*(Prandtl Number^(1/3)))/(1+((0.0207/Prandtl Number)^(2/3)))^(1/4)

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Local Nusselt Number for Constant Heat Flux given Prandtl Number Formula

​GoLocal Nusselt Number for Plate Heated over its Entire Length Formula

​GoCorrelation for Local Nusselt Number for Laminar Flow on Isothermal Flat Plate Formula

Local Nusselt Number for Constant Heat Flux given Prandtl Number Example

Local Nusselt Number for Constant Heat Flux given Prandtl Number Solution

Local Nusselt Number for Constant Heat Flux given Prandtl Number Formula Elements

Other Formulas to find Local Nusselt number

Other formulas in Convection Heat Transfer category

How to Evaluate Local Nusselt Number for Constant Heat Flux given Prandtl Number?

FAQs on Local Nusselt Number for Constant Heat Flux given Prandtl Number

Variable Name

GoLocal Nusselt Number for Plate Heated over its Entire Length Formula

GoCorrelation for Local Nusselt Number for Laminar Flow on Isothermal Flat Plate Formula