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))
NuL = 0.664*((ReL)^(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
NuL = 0.664*((ReL)^(1/2))*(Pr^(1/3)) --> 0.664*((20)^(1/2))*(7.29^(1/3))
Evaluating ... ...
NuL = 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)

Credits

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University School of Chemical Technology-USCT (GGSIPU), New Delhi
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25 Convection Heat Transfer Calculators

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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))
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Go Drag Coefficient = (2*Drag Force)/(Frontal Area*Density of Fluid*(Free Stream Velocity^2))
Drag Force for Bluff Bodies
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Go Shear Stress = (Friction Coefficient*Density of Fluid*(Free Stream Velocity^2))/2
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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))
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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
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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
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Recovery Factor for Gases with Prandtl Number near Unity under Turbulent Flow
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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))
NuL = 0.664*((ReL)^(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 NuL 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 (ReL) & 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 NuL = 0.664*((ReL)^(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 (ReL) & 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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