Local Nusselt number given Grashof number Calculator

✖Local Grashof Number is a dimensionless number in fluid dynamics and heat transfer which approximates the ratio of the buoyancy to viscous force acting on a fluid.ⓘ Local Grashof Number [Gr_x]			+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%

✖Local Nusselt number is the ratio of convective to conductive heat transfer across a boundary.ⓘ Local Nusselt number given Grashof number [Nu_x]

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Formula

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Local Nusselt number given Grashof number

Formula

`"Nu"_{"x"} = 0.6*(("Gr"_{"x"}*"Pr")^0.2)`

Example

`"3.371234"=0.6*(("8000"*"0.7")^0.2)`

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Local Nusselt number given Grashof number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Local Nusselt Number = 0.6*((Local Grashof Number*Prandtl Number)^0.2)
Nu_x = 0.6*((Gr_x*Pr)^0.2)
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.
Local Grashof Number - Local Grashof Number is a dimensionless number in fluid dynamics and heat transfer which 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

Local Grashof Number: 8000 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Nu_x = 0.6*((Gr_x*Pr)^0.2) --> 0.6*((8000*0.7)^0.2)

Evaluating ... ...

Nu_x = 3.37123367006478

STEP 3: Convert Result to Output's Unit

3.37123367006478 --> No Conversion Required

FINAL ANSWER

3.37123367006478 ≈ 3.371234 <-- Local 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 » Local Nusselt number given Grashof number

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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

Local Nusselt number given Grashof number Formula

Local Nusselt Number = 0.6*((Local Grashof Number*Prandtl Number)^0.2)
Nu_x = 0.6*((Gr_x*Pr)^0.2)

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.

How to Calculate Local Nusselt number given Grashof number?

Local Nusselt number given Grashof number calculator uses Local Nusselt Number = 0.6*((Local Grashof Number*Prandtl Number)^0.2) to calculate the Local Nusselt Number, The Local Nusselt number given Grashof number formula is defined as is the ratio of convective to conductive heat transfer across a boundary. Local Nusselt Number is denoted by Nu_x symbol.

How to calculate Local Nusselt number given Grashof number using this online calculator? To use this online calculator for Local Nusselt number given Grashof number, enter Local Grashof Number (Gr_x) & Prandtl Number (Pr) and hit the calculate button. Here is how the Local Nusselt number given Grashof number calculation can be explained with given input values -> 3.371234 = 0.6*((8000*0.7)^0.2).

FAQ

What is Local Nusselt number given Grashof number?

The Local Nusselt number given Grashof number formula is defined as is the ratio of convective to conductive heat transfer across a boundary and is represented as Nu_x = 0.6*((Gr_x*Pr)^0.2) or Local Nusselt Number = 0.6*((Local Grashof Number*Prandtl Number)^0.2). Local Grashof Number is a dimensionless number in fluid dynamics and heat transfer which 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 Local Nusselt number given Grashof number?

The Local Nusselt number given Grashof number formula is defined as is the ratio of convective to conductive heat transfer across a boundary is calculated using Local Nusselt Number = 0.6*((Local Grashof Number*Prandtl Number)^0.2). To calculate Local Nusselt number given Grashof number, you need Local Grashof Number (Gr_x) & Prandtl Number (Pr). With our tool, you need to enter the respective value for Local 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 Local Nusselt Number?

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

Local Nusselt Number = 2*Distance from Point to YY Axis/Boundary Layer Thickens
Local Nusselt Number = 0.508*(Prandtl Number^0.5)*((0.952+Prandtl Number)^(-0.25))*(Local Grashof Number^0.25)
Local Nusselt Number = 0.17*((Grashof Number*Prandtl Number)^0.25)

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