Local Nusselt Number for Plate Heated over its Entire Length Calculator

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

✖Local Nusselt number is the ratio of convective to conductive heat transfer across a boundary.ⓘ Local Nusselt Number for Plate Heated over its Entire Length [Nu_x]

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Local Nusselt Number for Plate Heated over its Entire Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Local Nusselt number = 0.332*(Prandtl Number^(1/3))*(Local Reynolds Number^(1/2))
Nu_x = 0.332*(Pr^(1/3))*(Re_l^(1/2))
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.
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.
Local Reynolds Number - Local Reynolds Number is the ratio of inertial forces to viscous forces.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Nu_x = 0.332*(Pr^(1/3))*(Re_l^(1/2)) --> 0.332*(7.29^(1/3))*(0.55^(1/2))

Evaluating ... ...

Nu_x = 0.477414132828175

STEP 3: Convert Result to Output's Unit

0.477414132828175 --> No Conversion Required

FINAL ANSWER

0.477414132828175 ≈ 0.477414 <-- Local Nusselt number

(Calculation completed in 00.004 seconds)

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Reynolds Number given Mass Velocity

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

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

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

Mass Velocity

LaTeX Go Mass Velocity = Mass Flow Rate/Cross Sectional Area

Mass Velocity given Mean Velocity

LaTeX Go Mass Velocity = Density of Fluid*Mean velocity

Local Nusselt Number for Plate Heated over its Entire Length Formula

LaTeX Go

Local Nusselt number = 0.332*(Prandtl Number^(1/3))*(Local Reynolds Number^(1/2))
Nu_x = 0.332*(Pr^(1/3))*(Re_l^(1/2))

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 Local Nusselt Number for Plate Heated over its Entire Length?

Local Nusselt Number for Plate Heated over its Entire Length calculator uses Local Nusselt number = 0.332*(Prandtl Number^(1/3))*(Local Reynolds Number^(1/2)) to calculate the Local Nusselt number, The Local Nusselt Number for Plate Heated over its Entire Length formula is defined as the function of Reynolds number and Prandtl Number. The local values of the heat-transfer coefficient in terms of the distance from the leading edge of the plate and the fluid properties. Local Nusselt number is denoted by Nu_x symbol.

How to calculate Local Nusselt Number for Plate Heated over its Entire Length using this online calculator? To use this online calculator for Local Nusselt Number for Plate Heated over its Entire Length, enter Prandtl Number (Pr) & Local Reynolds Number (Re_l) and hit the calculate button. Here is how the Local Nusselt Number for Plate Heated over its Entire Length calculation can be explained with given input values -> 0.477414 = 0.332*(7.29^(1/3))*(0.55^(1/2)).

FAQ

What is Local Nusselt Number for Plate Heated over its Entire Length?

The Local Nusselt Number for Plate Heated over its Entire Length formula is defined as the function of Reynolds number and Prandtl Number. The local values of the heat-transfer coefficient in terms of the distance from the leading edge of the plate and the fluid properties and is represented as Nu_x = 0.332*(Pr^(1/3))*(Re_l^(1/2)) or Local Nusselt number = 0.332*(Prandtl Number^(1/3))*(Local Reynolds Number^(1/2)). 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 & Local Reynolds Number is the ratio of inertial forces to viscous forces.

How to calculate Local Nusselt Number for Plate Heated over its Entire Length?

The Local Nusselt Number for Plate Heated over its Entire Length formula is defined as the function of Reynolds number and Prandtl Number. The local values of the heat-transfer coefficient in terms of the distance from the leading edge of the plate and the fluid properties is calculated using Local Nusselt number = 0.332*(Prandtl Number^(1/3))*(Local Reynolds Number^(1/2)). To calculate Local Nusselt Number for Plate Heated over its Entire Length, you need Prandtl Number (Pr) & Local Reynolds Number (Re_l). With our tool, you need to enter the respective value for Prandtl Number & Local Reynolds 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 Prandtl Number & Local Reynolds Number. We can use 3 other way(s) to calculate the same, which is/are as follows -

Local Nusselt number = 0.453*(Local Reynolds Number^(1/2))*(Prandtl Number^(1/3))
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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