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Nusselt number for sphere Formula

GoNusselt number for all value of GrPr and constant heat flux Formula

GoNusselt number for all value of GrPr and constant wall temperature Formula

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The Nusselt Number is the ratio of convective to conductive heat transfer at a boundary in a fluid. Convection includes both advection and diffusion. Check FAQs

Nu = 2 + 0.50 \cdot {(GrD \cdot Pr)}^{0.25}

Nu - Nusselt Number?GrD - Grashof Number(d) Based on Diameter?Pr - Prandtl Number?

Nusselt number for sphere Example

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Here is how the Nusselt number for sphere equation looks like with Values.

Here is how the Nusselt number for sphere equation looks like with Units.

Here is how the Nusselt number for sphere equation looks like.

2.3637 = 2 + 0.50 \cdot {(0.4 \cdot 0.7)}^{0.25}

2.3637 = 2 + 0.50 \cdot {(0.4 \cdot 0.7)}^{0.25}

2.3637 = 2 + 0.50 \cdot {(0.4 \cdot 0.7)}^{0.25}

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Nusselt number for sphere Solution

Follow our step by step solution on how to calculate Nusselt number for sphere?

FIRST Step Consider the formula

Nu = 2 + 0.50 \cdot {(GrD \cdot Pr)}^{0.25}

Next Step Substitute values of Variables

∴

Nu = 2 + 0.50 \cdot {(0.4 \cdot 0.7)}^{0.25}

Next Step Prepare to Evaluate

∴

Nu = 2 + 0.50 \cdot {(0.4 \cdot 0.7)}^{0.25}

Next Step Evaluate

∴

Nu = 2.36371357625641

LAST Step Rounding Answer

∴

Nu = 2.3637

Nusselt number for sphere Formula Elements

Variables

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.

Symbol: Nu

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Nusselt Number

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.

Symbol: GrD

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Grashof Number(d) Based on Diameter

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.

Symbol: Pr

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Prandtl Number

Other Formulas to find Nusselt Number

Go Nusselt number for all value of GrPr and constant heat flux

Nu = {(0.825 + (\frac{0.387 \cdot ({(G \cdot Pr)}^{0.167})}{{(1 + {(\frac{0.437}{Pr})}^{0.5625})}^{0.296}}))}^{2}

Go Nusselt number for all value of GrPr and constant wall temperature

Nu = {(0.825 + (\frac{0.387 \cdot ({(G \cdot Pr)}^{0.167})}{{(1 + {(\frac{0.492}{Pr})}^{0.5625})}^{0.296}}))}^{2}

Go Nusselt number for turbulent flow

Nu = 0.10 \cdot ({(G \cdot Pr)}^{0.333})

Go Nusselt number for horizontal plate with upper surface heated or lower surface cooled

Nu = 0.54 \cdot ({(G \cdot Pr)}^{0.25})

Other formulas in Nusselt Number category

Go Nusselt number for higher value of GrPr

Nu avg L = 0.59 \cdot {(G \cdot Pr)}^{0.25}

Go Nusselt number for both constant wall temperature and heat flux

Nu x = 0.17 \cdot ({(Gr x \cdot Nu \cdot Pr)}^{0.25})

Go Nusselt number for horizontal cylinders

NuD = {(0.60 + (0.387 \cdot {(\frac{GrD \cdot Pr}{{(1 + {(\frac{0.559}{Pr})}^{0.5625})}^{0.296}})}^{0.167}))}^{2}

Go Nusselt Number based on Diameter for Horizontal Cylinders

NuD = 0.36 + (\frac{0.518 \cdot ({(GrD \cdot Pr)}^{0.25})}{{(1 + {(\frac{0.559}{Pr})}^{0.5625})}^{0.444}})

How to Evaluate Nusselt number for sphere?

Nusselt number for sphere evaluator uses Nusselt Number = 2+0.50*(Grashof Number(d) Based on Diameter*Prandtl Number)^0.25 to evaluate 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 evaluate Nusselt number for sphere using this online evaluator? To use this online evaluator for Nusselt number for sphere, enter Grashof Number(d) Based on Diameter (GrD) & Prandtl Number (Pr) and hit the calculate button.

FAQs on Nusselt number for sphere

What is the formula to find Nusselt number for sphere?

The formula of Nusselt number for sphere is expressed as Nusselt Number = 2+0.50*(Grashof Number(d) Based on Diameter*Prandtl Number)^0.25. Here is an example- 2.363714 = 2+0.50*(0.4*0.7)^0.25.

How to calculate Nusselt number for sphere?

With Grashof Number(d) Based on Diameter (GrD) & Prandtl Number (Pr) we can find Nusselt number for sphere using the formula - Nusselt Number = 2+0.50*(Grashof Number(d) Based on Diameter*Prandtl Number)^0.25.

What are the other ways to Calculate Nusselt Number?

Here are the different ways to Calculate Nusselt Number-

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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Nusselt number for sphere Formula

​GoNusselt number for all value of GrPr and constant heat flux Formula

​GoNusselt number for all value of GrPr and constant wall temperature Formula

Nusselt number for sphere Example

Nusselt number for sphere Solution

Nusselt number for sphere Formula Elements

Other Formulas to find Nusselt Number

Other formulas in Nusselt Number category

How to Evaluate Nusselt number for sphere?

FAQs on Nusselt number for sphere

Variable Name

GoNusselt number for all value of GrPr and constant heat flux Formula

GoNusselt number for all value of GrPr and constant wall temperature Formula