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

✖Local Reynolds Number is the ratio of inertial forces to viscous forces.ⓘ Local Reynolds Number [Re_l]			+10% -10%
✖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.ⓘ Prandtl Number [Pr]			+10% -10%

✖Local Nusselt number is the ratio of convective to conductive heat transfer across a boundary.ⓘ Correlation for Local Nusselt Number for Laminar Flow on Isothermal Flat Plate [Nu_x]

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Formula

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

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}}}

Example

0.482931 = \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

STEP 0: Pre-Calculation Summary

Formula Used

Local Nusselt number = (0.3387*(Local Reynolds Number^(1/2))*(Prandtl Number^(1/3)))/(1+((0.0468/Prandtl Number)^(2/3)))^(1/4)
Nu_x = (0.3387*(Re_l^(1/2))*(Pr^(1/3)))/(1+((0.0468/Pr)^(2/3)))^(1/4)
This formula uses 3 Variables

Variables Used

Local Nusselt number - Local Nusselt number is the ratio of convective to conductive heat transfer across a boundary.
Local Reynolds Number - Local Reynolds Number is the ratio of inertial forces to viscous forces.
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.

STEP 1: Convert Input(s) to Base Unit

Local Reynolds Number: 0.55 --> No Conversion Required
Prandtl Number: 7.29 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Nu_x = (0.3387*(Re_l^(1/2))*(Pr^(1/3)))/(1+((0.0468/Pr)^(2/3)))^(1/4) --> (0.3387*(0.55^(1/2))*(7.29^(1/3)))/(1+((0.0468/7.29)^(2/3)))^(1/4)

Evaluating ... ...

Nu_x = 0.48293131619135

STEP 3: Convert Result to Output's Unit

0.48293131619135 --> No Conversion Required

FINAL ANSWER

0.48293131619135 ≈ 0.482931 <-- Local Nusselt number

(Calculation completed in 00.020 seconds)

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Reynolds Number given Mass Velocity

Go Reynolds Number in Tube = (Mass Velocity*Diameter of Tube)/(Dynamic Viscosity)

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

Go Mass Flow Rate = Density of Fluid*Cross Sectional Area*Mean velocity

Mass Velocity

Go Mass Velocity = Mass Flow Rate/Cross Sectional Area

Mass Velocity given Mean Velocity

Go Mass Velocity = Density of Fluid*Mean velocity

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

Local Nusselt number = (0.3387*(Local Reynolds Number^(1/2))*(Prandtl Number^(1/3)))/(1+((0.0468/Prandtl Number)^(2/3)))^(1/4)
Nu_x = (0.3387*(Re_l^(1/2))*(Pr^(1/3)))/(1+((0.0468/Pr)^(2/3)))^(1/4)

What is Convection?

Convection is the process of heat transfer by the bulk movement of molecules within fluids such as gases and liquids. The initial heat transfer between the object and the fluid takes place through conduction, but the bulk heat transfer happens due to the motion of the fluid. Convection is the process of heat transfer in fluids by the actual motion of matter. It happens in liquids and gases. It may be natural or forced. It involves a bulk transfer of portions of the fluid.

What are the Types of Convection?

There are two types of convection, and they are: Natural convection: When convection takes place due to buoyant force as there is a difference in densities caused by the difference in temperatures it is known as natural convection. Examples of natural convection are oceanic winds. Forced convection: When external sources such as fans and pumps are used for creating induced convection, it is known as forced convection. Examples of forced convection are using water heaters or geysers for instant heating of water and using a fan on a hot summer day.

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

Correlation for Local Nusselt Number for Laminar Flow on Isothermal Flat Plate calculator 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 calculate 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 calculate Correlation for Local Nusselt Number for Laminar Flow on Isothermal Flat Plate using this online calculator? To use this online calculator 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. Here is how the Correlation for Local Nusselt Number for Laminar Flow on Isothermal Flat Plate calculation can be explained with given input values -> 0.482931 = (0.3387*(0.55^(1/2))*(7.29^(1/3)))/(1+((0.0468/7.29)^(2/3)))^(1/4).

FAQ

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

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 and is represented as Nu_x = (0.3387*(Re_l^(1/2))*(Pr^(1/3)))/(1+((0.0468/Pr)^(2/3)))^(1/4) or Local Nusselt number = (0.3387*(Local Reynolds Number^(1/2))*(Prandtl Number^(1/3)))/(1+((0.0468/Prandtl Number)^(2/3)))^(1/4). Local Reynolds Number is the ratio of inertial forces to viscous forces & 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.

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

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 is calculated using Local Nusselt number = (0.3387*(Local Reynolds Number^(1/2))*(Prandtl Number^(1/3)))/(1+((0.0468/Prandtl Number)^(2/3)))^(1/4). To calculate Correlation for Local Nusselt Number for Laminar Flow on Isothermal Flat Plate, you need Local Reynolds Number (Re_l) & Prandtl Number (Pr). With our tool, you need to enter the respective value for Local Reynolds Number & Prandtl Number and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Local Nusselt number?

In this formula, Local Nusselt number uses Local Reynolds Number & Prandtl Number. We can use 3 other way(s) to calculate the same, which is/are as follows -

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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