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

GoLocal Nusselt Number for Plate Heated over its Entire Length Formula

GoLocal Nusselt Number for Constant Heat Flux given Prandtl Number Formula

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

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}}}

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

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

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Here is how the Correlation for Local Nusselt Number for Laminar Flow on Isothermal Flat Plate equation looks like with Values.

Here is how the Correlation for Local Nusselt Number for Laminar Flow on Isothermal Flat Plate equation looks like with Units.

Here is how the Correlation for Local Nusselt Number for Laminar Flow on Isothermal Flat Plate equation looks like.

0.4829 = \frac{0.3387 \cdot ({0.55}^{\frac{1}{2}}) \cdot ({7.29}^{\frac{1}{3}})}{{(1 + ({(\frac{0.0468}{7.29})}^{\frac{2}{3}}))}^{\frac{1}{4}}}

0.4829 = \frac{0.3387 \cdot ({0.55}^{\frac{1}{2}}) \cdot ({7.29}^{\frac{1}{3}})}{{(1 + ({(\frac{0.0468}{7.29})}^{\frac{2}{3}}))}^{\frac{1}{4}}}

0.4829 = \frac{0.3387 \cdot ({0.55}^{\frac{1}{2}}) \cdot ({7.29}^{\frac{1}{3}})}{{(1 + ({(\frac{0.0468}{7.29})}^{\frac{2}{3}}))}^{\frac{1}{4}}}

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

Follow our step by step solution on how to calculate Correlation for Local Nusselt Number for Laminar Flow on Isothermal Flat Plate?

FIRST Step Consider the formula

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}}}

Next Step Substitute values of Variables

∴

Nu x = \frac{0.3387 \cdot ({0.55}^{\frac{1}{2}}) \cdot ({7.29}^{\frac{1}{3}})}{{(1 + ({(\frac{0.0468}{7.29})}^{\frac{2}{3}}))}^{\frac{1}{4}}}

Next Step Prepare to Evaluate

∴

Nu x = \frac{0.3387 \cdot ({0.55}^{\frac{1}{2}}) \cdot ({7.29}^{\frac{1}{3}})}{{(1 + ({(\frac{0.0468}{7.29})}^{\frac{2}{3}}))}^{\frac{1}{4}}}

Next Step Evaluate

∴

Nu x = 0.48293131619135

LAST Step Rounding Answer

∴

Nu x = 0.4829

Correlation for Local Nusselt Number for Laminar Flow on Isothermal Flat Plate 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 Local Nusselt Number for Constant Heat Flux given Prandtl Number

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

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

Correlation for Local Nusselt Number for Laminar Flow on Isothermal Flat Plate evaluator uses Local Nusselt number = (0.3387*(Local Reynolds Number^(1/2))*(Prandtl Number^(1/3)))/(1+((0.0468/Prandtl Number)^(2/3)))^(1/4) to evaluate the Local Nusselt number, The Correlation for Local Nusselt Number for Laminar Flow on Isothermal Flat Plate formula is defined as the function of local Reynolds number and Prandtl 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. It is useful in determining the heat transfer coefficient of the fluid. Local Nusselt number is denoted by Nu_x symbol.

How to evaluate Correlation for Local Nusselt Number for Laminar Flow on Isothermal Flat Plate using this online evaluator? To use this online evaluator for Correlation for Local Nusselt Number for Laminar Flow on Isothermal Flat Plate, enter Local Reynolds Number (Re_l) & Prandtl Number (Pr) and hit the calculate button.

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

What is the formula to find Correlation for Local Nusselt Number for Laminar Flow on Isothermal Flat Plate?

The formula of Correlation for Local Nusselt Number for Laminar Flow on Isothermal Flat Plate is expressed as Local Nusselt number = (0.3387*(Local Reynolds Number^(1/2))*(Prandtl Number^(1/3)))/(1+((0.0468/Prandtl Number)^(2/3)))^(1/4). Here is an example- 0.482931 = (0.3387*(0.55^(1/2))*(7.29^(1/3)))/(1+((0.0468/7.29)^(2/3)))^(1/4).

How to calculate Correlation for Local Nusselt Number for Laminar Flow on Isothermal Flat Plate?

With Local Reynolds Number (Re_l) & Prandtl Number (Pr) we can find Correlation for Local Nusselt Number for Laminar Flow on Isothermal Flat Plate using the formula - Local Nusselt number = (0.3387*(Local Reynolds Number^(1/2))*(Prandtl Number^(1/3)))/(1+((0.0468/Prandtl Number)^(2/3)))^(1/4).

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=0.453*(Local Reynolds Number^(1/2))*(Prandtl Number^(1/3))
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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Correlation for Local Nusselt Number for Laminar Flow on Isothermal Flat Plate Formula

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

​GoLocal Nusselt Number for Constant Heat Flux given Prandtl Number Formula

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

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

Correlation for Local Nusselt Number for Laminar Flow on Isothermal Flat Plate Formula Elements

Other Formulas to find Local Nusselt number

Other formulas in Convection Heat Transfer category

How to Evaluate Correlation for Local Nusselt Number for Laminar Flow on Isothermal Flat Plate?

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

Variable Name

GoLocal Nusselt Number for Plate Heated over its Entire Length Formula

GoLocal Nusselt Number for Constant Heat Flux given Prandtl Number Formula