Nusselt number for sphere Calculator

✖Grashof Number(d) Based on Diameter is a dimensionless number in fluid dynamics and heat transfer which approximates the ratio of the buoyancy to viscous force acting on a fluid.ⓘ Grashof Number(d) Based on Diameter [GrD]			+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%

✖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 for sphere [Nu]

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Nusselt number for sphere Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nusselt Number = 2+0.50*(Grashof Number(d) Based on Diameter*Prandtl Number)^0.25
Nu = 2+0.50*(GrD*Pr)^0.25
This formula uses 3 Variables

Variables Used

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.
Grashof Number(d) Based on Diameter - Grashof Number(d) Based on Diameter 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

Grashof Number(d) Based on Diameter: 0.4 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Nu = 2+0.50*(GrD*Pr)^0.25 --> 2+0.50*(0.4*0.7)^0.25

Evaluating ... ...

Nu = 2.36371357625641

STEP 3: Convert Result to Output's Unit

2.36371357625641 --> No Conversion Required

FINAL ANSWER

2.36371357625641 ≈ 2.363714 <-- 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 sphere Formula

LaTeX Go

Nusselt Number = 2+0.50*(Grashof Number(d) Based on Diameter*Prandtl Number)^0.25
Nu = 2+0.50*(GrD*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 sphere?

Nusselt number for sphere calculator uses Nusselt Number = 2+0.50*(Grashof Number(d) Based on Diameter*Prandtl Number)^0.25 to calculate the Nusselt Number, The Nusselt number for sphere formula is defined as the ratio of convective to conductive heat transfer across a boundary. Nusselt Number is denoted by Nu symbol.

How to calculate Nusselt number for sphere using this online calculator? To use this online calculator for Nusselt number for sphere, enter Grashof Number(d) Based on Diameter (GrD) & Prandtl Number (Pr) and hit the calculate button. Here is how the Nusselt number for sphere calculation can be explained with given input values -> 2.363714 = 2+0.50*(0.4*0.7)^0.25.

FAQ

What is Nusselt number for sphere?

The Nusselt number for sphere formula is defined as the ratio of convective to conductive heat transfer across a boundary and is represented as Nu = 2+0.50*(GrD*Pr)^0.25 or Nusselt Number = 2+0.50*(Grashof Number(d) Based on Diameter*Prandtl Number)^0.25. Grashof Number(d) Based on Diameter 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 Nusselt number for sphere?

The Nusselt number for sphere formula is defined as the ratio of convective to conductive heat transfer across a boundary is calculated using Nusselt Number = 2+0.50*(Grashof Number(d) Based on Diameter*Prandtl Number)^0.25. To calculate Nusselt number for sphere, you need Grashof Number(d) Based on Diameter (GrD) & Prandtl Number (Pr). With our tool, you need to enter the respective value for Grashof Number(d) Based on Diameter & 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 Nusselt Number?

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

Nusselt Number = (0.825+((0.387*((Grashof Number*Prandtl Number)^0.167))/((1+(0.437/Prandtl Number)^0.5625)^0.296)))^2
Nusselt Number = (0.825+((0.387*((Grashof Number*Prandtl Number)^0.167))/((1+(0.492/Prandtl Number)^0.5625)^0.296)))^2
Nusselt Number = 0.10*((Grashof Number*Prandtl Number)^0.333)

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