Nusselt number for both constant wall temperature and heat flux 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 Nusselt Number is the ratio of convective to conductive heat transfer at a boundary in a fluid. Convection includes both advection and diffusion.ⓘ Nusselt Number [Nu]			+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.ⓘ Nusselt number for both constant wall temperature and heat flux [Nu_x]

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Nusselt number for both constant wall temperature and heat flux Solution

STEP 0: Pre-Calculation Summary

Formula Used

Local Nusselt Number = 0.17*((Local Grashof Number*Nusselt Number*Prandtl Number)^0.25)
Nu_x = 0.17*((Gr_x*Nu*Pr)^0.25)
This formula uses 4 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.
Nusselt 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.
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
Nusselt Number: 1.2 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Nu_x = 0.17*((Gr_x*Nu*Pr)^0.25) --> 0.17*((8000*1.2*0.7)^0.25)

Evaluating ... ...

Nu_x = 1.53918647898488

STEP 3: Convert Result to Output's Unit

1.53918647898488 --> No Conversion Required

FINAL ANSWER

1.53918647898488 ≈ 1.539186 <-- Local Nusselt Number

(Calculation completed in 00.004 seconds)

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< Nusselt Number Calculators

Nusselt number for all value of GrPr and constant wall temperature

LaTeX Go Nusselt Number = (0.825+((0.387*((Grashof Number*Prandtl Number)^0.167))/((1+(0.492/Prandtl Number)^0.5625)^0.296)))^2

Nusselt number for all value of GrPr and constant heat flux

LaTeX Go Nusselt Number = (0.825+((0.387*((Grashof Number*Prandtl Number)^0.167))/((1+(0.437/Prandtl Number)^0.5625)^0.296)))^2

Nusselt number for higher value of GrPr

LaTeX Go Average Nusselt Number upto L = 0.59*(Grashof Number*Prandtl Number)^0.25

Nusselt number for turbulent flow

LaTeX Go Nusselt Number = 0.10*((Grashof Number*Prandtl Number)^0.333)

Nusselt number for both constant wall temperature and heat flux Formula

LaTeX Go

Local Nusselt Number = 0.17*((Local Grashof Number*Nusselt Number*Prandtl Number)^0.25)
Nu_x = 0.17*((Gr_x*Nu*Pr)^0.25)

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 Nusselt number for both constant wall temperature and heat flux?

Nusselt number for both constant wall temperature and heat flux calculator uses Local Nusselt Number = 0.17*((Local Grashof Number*Nusselt Number*Prandtl Number)^0.25) to calculate the Local Nusselt Number, The Nusselt number for both constant wall temperature and heat flux formula is defined as the ratio of convective to conductive heat transfer across a boundary. Local Nusselt Number is denoted by Nu_x symbol.

How to calculate Nusselt number for both constant wall temperature and heat flux using this online calculator? To use this online calculator for Nusselt number for both constant wall temperature and heat flux, enter Local Grashof Number (Gr_x), Nusselt Number (Nu) & Prandtl Number (Pr) and hit the calculate button. Here is how the Nusselt number for both constant wall temperature and heat flux calculation can be explained with given input values -> 1.539186 = 0.17*((8000*1.2*0.7)^0.25).

FAQ

What is Nusselt number for both constant wall temperature and heat flux?

The Nusselt number for both constant wall temperature and heat flux formula is defined as the ratio of convective to conductive heat transfer across a boundary and is represented as Nu_x = 0.17*((Gr_x*Nu*Pr)^0.25) or Local Nusselt Number = 0.17*((Local Grashof Number*Nusselt Number*Prandtl Number)^0.25). 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 Nusselt Number is the ratio of convective to conductive heat transfer at a boundary in a fluid. Convection includes both advection and diffusion & 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 Nusselt number for both constant wall temperature and heat flux?

The Nusselt number for both constant wall temperature and heat flux formula is defined as the ratio of convective to conductive heat transfer across a boundary is calculated using Local Nusselt Number = 0.17*((Local Grashof Number*Nusselt Number*Prandtl Number)^0.25). To calculate Nusselt number for both constant wall temperature and heat flux, you need Local Grashof Number (Gr_x), Nusselt Number (Nu) & Prandtl Number (Pr). With our tool, you need to enter the respective value for Local Grashof Number, Nusselt 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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