Nusselt Number for Plate heated over its Entire Length Calculator

✖Reynolds number is defined as the ratio of inertia force to viscous force.ⓘ 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%

✖Nusselt Number at Location L is the ratio between heat transfer by convection (α) and heat transfer by conduction alone.ⓘ Nusselt Number for Plate heated over its Entire Length [Nu_L]

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Formula

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Nusselt Number for Plate heated over its Entire Length

Formula

`"Nu"_{"L"} = 0.664*(("Re"_{"L"})^(1/2))*("Pr"^(1/3))`

Example

`"5.757831"=0.664*(("20")^(1/2))*(("7.29")^(1/3))`

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Nusselt Number for Plate heated over its Entire Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nusselt Number at Location L = 0.664*((Reynolds Number)^(1/2))*(Prandtl Number^(1/3))
Nu_L = 0.664*((Re_L)^(1/2))*(Pr^(1/3))
This formula uses 3 Variables

Variables Used

Nusselt Number at Location L - Nusselt Number at Location L is the ratio between heat transfer by convection (α) and heat transfer by conduction alone.
Reynolds Number - Reynolds number is defined as the ratio of inertia force to viscous force.
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

Reynolds Number: 20 --> No Conversion Required
Prandtl Number: 7.29 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Nu_L = 0.664*((Re_L)^(1/2))*(Pr^(1/3)) --> 0.664*((20)^(1/2))*(7.29^(1/3))

Evaluating ... ...

Nu_L = 5.757831084378

STEP 3: Convert Result to Output's Unit

5.757831084378 --> No Conversion Required

FINAL ANSWER

5.757831084378 ≈ 5.757831 <-- Nusselt Number at Location L

(Calculation completed in 00.004 seconds)

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University School of Chemical Technology-USCT (GGSIPU), New Delhi

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< 25 Convection Heat Transfer Calculators

Recovery Factor

Go Recovery Factor = ((Adiabatic Wall Temperature-Static Temperature of Free Stream)/(Stagnation Temperature-Static Temperature of Free Stream))

Local Stanton Number

Go Local Stanton Number = Local Heat Transfer Coefficient/(Density of Fluid*Specific Heat at Constant Pressure*Free Stream Velocity)

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

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

Correlation for Nusselt Number for Constant Heat Flux

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

Local Velocity of Sound

Go Local Velocity of Sound = sqrt((Ratio of Specific Heat Capacities*[R]*Temperature of Medium))

Drag Coefficient for Bluff Bodies

Go Drag Coefficient = (2*Drag Force)/(Frontal Area*Density of Fluid*(Free Stream Velocity^2))

Drag Force for Bluff Bodies

Go Drag Force = (Drag Coefficient*Frontal Area*Density of Fluid*(Free Stream Velocity^2))/2

Shear Stress at Wall given Friction Coefficient

Go Shear Stress = (Friction Coefficient*Density of Fluid*(Free Stream Velocity^2))/2

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

Nusselt Number for Plate heated over its Entire Length

Go Nusselt Number at Location L = 0.664*((Reynolds Number)^(1/2))*(Prandtl Number^(1/3))

Local Stanton Number given Prandtl Number

Go Local Stanton Number = (0.332*(Local Reynolds Number^(1/2)))/(Prandtl Number^(2/3))

Local Nusselt Number for Constant Heat Flux given Prandtl Number

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

Local Nusselt Number for Plate Heated over its Entire Length

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

Nusselt Number for Turbulent Flow in Smooth Tube

Go Nusselt Number = 0.023*(Reynolds Number in Tube^(0.8))*(Prandtl Number^(0.4))

Local Stanton Number given Local Friction Coefficient

Go Local Stanton Number = Local Friction Coefficient/(2*(Prandtl Number^(2/3)))

Local Velocity of Sound when Air Behaves as Ideal Gas

Go Local Velocity of Sound = 20.045*sqrt((Temperature of Medium))

Mass Velocity

Go Mass Velocity = Mass Flow Rate/Cross Sectional Area

Mass Velocity given Mean Velocity

Go Mass Velocity = Density of Fluid*Mean velocity

Local Friction Coefficient given Local Reynolds Number

Go Local Friction Coefficient = 2*0.332*(Local Reynolds Number^(-0.5))

Local Skin Friction Coefficient for Turbulent Flow on Flat Plates

Go Local Friction Coefficient = 0.0592*(Local Reynolds Number^(-1/5))

Friction Factor given Reynolds Number for Flow in Smooth Tubes

Go Fanning Friction Factor = 0.316/((Reynolds Number in Tube)^(1/4))

Stanton Number given Friction Factor for Turbulent Flow in Tube

Go Stanton Number = Fanning Friction Factor/8

Recovery Factor for Gases with Prandtl Number near Unity under Turbulent Flow

Go Recovery Factor = Prandtl Number^(1/3)

Recovery Factor for Gases with Prandtl Number near Unity under Laminar Flow

Go Recovery Factor = Prandtl Number^(1/2)

Nusselt Number for Plate heated over its Entire Length Formula

Nusselt Number at Location L = 0.664*((Reynolds Number)^(1/2))*(Prandtl Number^(1/3))
Nu_L = 0.664*((Re_L)^(1/2))*(Pr^(1/3))

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 Nusselt Number for Plate heated over its Entire Length?

Nusselt Number for Plate heated over its Entire Length calculator uses Nusselt Number at Location L = 0.664*((Reynolds Number)^(1/2))*(Prandtl Number^(1/3)) to calculate the Nusselt Number at Location L, The Nusselt Number for Plate heated over its Entire Length formula is defined as the function of 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. Nusselt Number at Location L is denoted by Nu_L symbol.

How to calculate Nusselt Number for Plate heated over its Entire Length using this online calculator? To use this online calculator for Nusselt Number for Plate heated over its Entire Length, enter Reynolds Number (Re_L) & Prandtl Number (Pr) and hit the calculate button. Here is how the Nusselt Number for Plate heated over its Entire Length calculation can be explained with given input values -> 5.757831 = 0.664*((20)^(1/2))*(7.29^(1/3)).

FAQ

What is Nusselt Number for Plate heated over its Entire Length?

The Nusselt Number for Plate heated over its Entire Length formula is defined as the function of 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_L = 0.664*((Re_L)^(1/2))*(Pr^(1/3)) or Nusselt Number at Location L = 0.664*((Reynolds Number)^(1/2))*(Prandtl Number^(1/3)). Reynolds number is defined as the ratio of inertia force to viscous force & 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 Nusselt Number for Plate heated over its Entire Length?

The Nusselt Number for Plate heated over its Entire Length formula is defined as the function of 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 Nusselt Number at Location L = 0.664*((Reynolds Number)^(1/2))*(Prandtl Number^(1/3)). To calculate Nusselt Number for Plate heated over its Entire Length, you need Reynolds Number (Re_L) & Prandtl Number (Pr). With our tool, you need to enter the respective value for 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.

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