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

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

GoNusselt number for turbulent flow 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 = {(0.825 + (\frac{0.387 \cdot ({(G \cdot Pr)}^{0.167})}{{(1 + {(\frac{0.437}{Pr})}^{0.5625})}^{0.296}}))}^{2}

Nu - Nusselt Number?G - Grashof Number?Pr - Prandtl Number?

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

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Here is how the Nusselt number for all value of GrPr and constant heat flux equation looks like with Values.

Here is how the Nusselt number for all value of GrPr and constant heat flux equation looks like with Units.

Here is how the Nusselt number for all value of GrPr and constant heat flux equation looks like.

1.2087 = {(0.825 + (\frac{0.387 \cdot ({(0.5 \cdot 0.7)}^{0.167})}{{(1 + {(\frac{0.437}{0.7})}^{0.5625})}^{0.296}}))}^{2}

1.2087 = {(0.825 + (\frac{0.387 \cdot ({(0.5 \cdot 0.7)}^{0.167})}{{(1 + {(\frac{0.437}{0.7})}^{0.5625})}^{0.296}}))}^{2}

1.2087 = {(0.825 + (\frac{0.387 \cdot ({(0.5 \cdot 0.7)}^{0.167})}{{(1 + {(\frac{0.437}{0.7})}^{0.5625})}^{0.296}}))}^{2}

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

Follow our step by step solution on how to calculate Nusselt number for all value of GrPr and constant heat flux?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Nu = {(0.825 + (\frac{0.387 \cdot ({(0.5 \cdot 0.7)}^{0.167})}{{(1 + {(\frac{0.437}{0.7})}^{0.5625})}^{0.296}}))}^{2}

Next Step Prepare to Evaluate

∴

Nu = {(0.825 + (\frac{0.387 \cdot ({(0.5 \cdot 0.7)}^{0.167})}{{(1 + {(\frac{0.437}{0.7})}^{0.5625})}^{0.296}}))}^{2}

Next Step Evaluate

∴

Nu = 1.20866695591581

LAST Step Rounding Answer

∴

Nu = 1.2087

Nusselt number for all value of GrPr and constant heat flux 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

Grashof number approximates the ratio of the buoyancy to viscous force acting on a fluid.

Symbol: G

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Grashof Number

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 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})

Go Nusselt number for horizontal plate with constant wall temperature

Nu = 0.15 \cdot {(G \cdot Pr)}^{0.333}

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 all value of GrPr and constant heat flux?

Nusselt number for all value of GrPr and constant heat flux evaluator uses Nusselt Number = (0.825+((0.387*((Grashof Number*Prandtl Number)^0.167))/((1+(0.437/Prandtl Number)^0.5625)^0.296)))^2 to evaluate the Nusselt Number, The Nusselt number for all value of GrPr and constant heat flux 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 all value of GrPr and constant heat flux using this online evaluator? To use this online evaluator for Nusselt number for all value of GrPr and constant heat flux, enter Grashof Number (G) & Prandtl Number (Pr) and hit the calculate button.

FAQs on Nusselt number for all value of GrPr and constant heat flux

What is the formula to find Nusselt number for all value of GrPr and constant heat flux?

The formula of Nusselt number for all value of GrPr and constant heat flux is expressed as Nusselt Number = (0.825+((0.387*((Grashof Number*Prandtl Number)^0.167))/((1+(0.437/Prandtl Number)^0.5625)^0.296)))^2. Here is an example- 1.208667 = (0.825+((0.387*((0.5*0.7)^0.167))/((1+(0.437/0.7)^0.5625)^0.296)))^2.

How to calculate Nusselt number for all value of GrPr and constant heat flux?

With Grashof Number (G) & Prandtl Number (Pr) we can find Nusselt number for all value of GrPr and constant heat flux using the formula - Nusselt Number = (0.825+((0.387*((Grashof Number*Prandtl Number)^0.167))/((1+(0.437/Prandtl Number)^0.5625)^0.296)))^2.

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+(0.492/Prandtl Number)^0.5625)^0.296)))^2
Nusselt Number=0.10*((Grashof Number*Prandtl Number)^0.333)
Nusselt Number=0.54*((Grashof Number*Prandtl Number)^0.25)

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

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

​GoNusselt number for turbulent flow Formula

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

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

Nusselt number for all value of GrPr and constant heat flux Formula Elements

Other Formulas to find Nusselt Number

Other formulas in Nusselt Number category

How to Evaluate Nusselt number for all value of GrPr and constant heat flux?

FAQs on Nusselt number for all value of GrPr and constant heat flux

Variable Name

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

GoNusselt number for turbulent flow Formula