Average Nusselt number for constant wall temperature Calculator

✖Grashof number approximates the ratio of the buoyancy to viscous force acting on a fluid.ⓘ Grashof Number [G]			+10% -10%
✖The 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%

✖Average Nusselt number is the ratio between heat transfer by convection (α) and heat transfer by conduction alone.ⓘ Average Nusselt number for constant wall temperature [Nu_avgL]

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Formula

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Average Nusselt number for constant wall temperature

Formula

`("Nu"_{"avg"}"L") = 0.68+((0.67*(("G"*"Pr")^0.25))/((1+(0.492/"Pr")^0.5625)^0.444))`

Example

`"1.075012"=0.68+((0.67*(("0.5"*"0.7")^0.25))/((1+(0.492/"0.7")^0.5625)^0.444))`

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Average Nusselt number for constant wall temperature Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Nusselt Number = 0.68+((0.67*((Grashof Number*Prandtl Number)^0.25))/((1+(0.492/Prandtl Number)^0.5625)^0.444))
Nu_avgL = 0.68+((0.67*((G*Pr)^0.25))/((1+(0.492/Pr)^0.5625)^0.444))
This formula uses 3 Variables

Variables Used

Average Nusselt Number - Average Nusselt number is the ratio between heat transfer by convection (α) and heat transfer by conduction alone.
Grashof Number - Grashof number approximates the ratio of the buoyancy to viscous force acting on a fluid.
Prandtl Number - The 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

Grashof Number: 0.5 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Nu_avgL = 0.68+((0.67*((G*Pr)^0.25))/((1+(0.492/Pr)^0.5625)^0.444)) --> 0.68+((0.67*((0.5*0.7)^0.25))/((1+(0.492/0.7)^0.5625)^0.444))

Evaluating ... ...

Nu_avgL = 1.07501204712118

STEP 3: Convert Result to Output's Unit

1.07501204712118 --> No Conversion Required

FINAL ANSWER

1.07501204712118 ≈ 1.075012 <-- Average Nusselt Number

(Calculation completed in 00.004 seconds)

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Home » Physics » Heat and Mass Transfer » Convection » Free convection » Local and Average Nusselt Number » Average Nusselt number for constant wall temperature

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< 7 Local and Average Nusselt Number Calculators

Average Nusselt number for constant wall temperature

Go Average Nusselt Number = 0.68+((0.67*((Grashof Number*Prandtl Number)^0.25))/((1+(0.492/Prandtl Number)^0.5625)^0.444))

Local Nusselt number for constant heat flux

Go Local Nusselt Number = 0.508*(Prandtl Number^0.5)*((0.952+Prandtl Number)^(-0.25))*(Local Grashof Number^0.25)

Local Nusselt number

Go Local Nusselt Number = 2*Distance from Point to YY Axis/Boundary Layer Thickens

Local Nusselt number given Grashof number

Go Local Nusselt Number = 0.6*((Local Grashof Number*Prandtl Number)^0.2)

Local Nusselt number for constant heat flux for Grashof number

Go Local Nusselt Number = 0.17*((Grashof Number*Prandtl Number)^0.25)

Average Nusselt number upto L

Go Average Nusselt Number = (5/4)*Nusselt Number(L)

Average Nusselt number upto length L for constant heat flux

Go Average Nusselt Number = (5/4)*Nusselt Number

Average Nusselt number for constant wall temperature Formula

Average Nusselt Number = 0.68+((0.67*((Grashof Number*Prandtl Number)^0.25))/((1+(0.492/Prandtl Number)^0.5625)^0.444))
Nu_avgL = 0.68+((0.67*((G*Pr)^0.25))/((1+(0.492/Pr)^0.5625)^0.444))

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.

How to Calculate Average Nusselt number for constant wall temperature?

Average Nusselt number for constant wall temperature calculator uses Average Nusselt Number = 0.68+((0.67*((Grashof Number*Prandtl Number)^0.25))/((1+(0.492/Prandtl Number)^0.5625)^0.444)) to calculate the Average Nusselt Number, The Average Nusselt number for constant wall temperature formula is defined as the ratio of convective to conductive heat transfer across a boundary. Average Nusselt Number is denoted by Nu_avgL symbol.

How to calculate Average Nusselt number for constant wall temperature using this online calculator? To use this online calculator for Average Nusselt number for constant wall temperature, enter Grashof Number (G) & Prandtl Number (Pr) and hit the calculate button. Here is how the Average Nusselt number for constant wall temperature calculation can be explained with given input values -> 1.075012 = 0.68+((0.67*((0.5*0.7)^0.25))/((1+(0.492/0.7)^0.5625)^0.444)).

FAQ

What is Average Nusselt number for constant wall temperature?

The Average Nusselt number for constant wall temperature formula is defined as the ratio of convective to conductive heat transfer across a boundary and is represented as Nu_avgL = 0.68+((0.67*((G*Pr)^0.25))/((1+(0.492/Pr)^0.5625)^0.444)) or Average Nusselt Number = 0.68+((0.67*((Grashof Number*Prandtl Number)^0.25))/((1+(0.492/Prandtl Number)^0.5625)^0.444)). Grashof number approximates the ratio of the buoyancy to viscous force acting on a fluid & The 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 Average Nusselt number for constant wall temperature?

The Average Nusselt number for constant wall temperature formula is defined as the ratio of convective to conductive heat transfer across a boundary is calculated using Average Nusselt Number = 0.68+((0.67*((Grashof Number*Prandtl Number)^0.25))/((1+(0.492/Prandtl Number)^0.5625)^0.444)). To calculate Average Nusselt number for constant wall temperature, you need Grashof Number (G) & Prandtl Number (Pr). With our tool, you need to enter the respective value for Grashof 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 Average Nusselt Number?

In this formula, Average Nusselt Number uses Grashof Number & Prandtl Number. We can use 2 other way(s) to calculate the same, which is/are as follows -

Average Nusselt Number = (5/4)*Nusselt Number(L)
Average Nusselt Number = (5/4)*Nusselt Number

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