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Nusselt number for horizontal cylinders Formula

GoNusselt Number based on Diameter for Horizontal Cylinders Formula

GoNusselt Number based on Diameter for Liquid Metals Formula

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Nusselt number(d) Based on Diameter is the ratio of convective to conductive heat transfer across a boundary. Check FAQs

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

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

Nusselt number for horizontal cylinders Example

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

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

Here is how the Nusselt number for horizontal cylinders equation looks like.

0.8159 = {(0.60 + (0.387 \cdot {(\frac{0.4 \cdot 0.7}{{(1 + {(\frac{0.559}{0.7})}^{0.5625})}^{0.296}})}^{0.167}))}^{2}

0.8159 = {(0.60 + (0.387 \cdot {(\frac{0.4 \cdot 0.7}{{(1 + {(\frac{0.559}{0.7})}^{0.5625})}^{0.296}})}^{0.167}))}^{2}

0.8159 = {(0.60 + (0.387 \cdot {(\frac{0.4 \cdot 0.7}{{(1 + {(\frac{0.559}{0.7})}^{0.5625})}^{0.296}})}^{0.167}))}^{2}

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Nusselt number for horizontal cylinders Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

NuD = {(0.60 + (0.387 \cdot {(\frac{0.4 \cdot 0.7}{{(1 + {(\frac{0.559}{0.7})}^{0.5625})}^{0.296}})}^{0.167}))}^{2}

Next Step Prepare to Evaluate

∴

NuD = {(0.60 + (0.387 \cdot {(\frac{0.4 \cdot 0.7}{{(1 + {(\frac{0.559}{0.7})}^{0.5625})}^{0.296}})}^{0.167}))}^{2}

Next Step Evaluate

∴

NuD = 0.815886055900308

LAST Step Rounding Answer

∴

NuD = 0.8159

Nusselt number for horizontal cylinders Formula Elements

Variables

Nusselt number(d) Based on Diameter

Nusselt number(d) Based on Diameter is the ratio of convective to conductive heat transfer across a boundary.

Symbol: NuD

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Nusselt number(d) Based on Diameter

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(d) Based on Diameter

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}})

Go Nusselt Number based on Diameter for Liquid Metals

NuD = 0.53 \cdot ({(GrD \cdot ({Pr}^{2}))}^{0.25})

Go Nusselt Number based on Diameter for Horizontal Cylinders for Higher Ranges of GrPr

NuD = {((({(\frac{GrD \cdot Pr}{{(1 + ({(\frac{0.559}{Pr})}^{0.5625}))}^{0.296}})}^{.167}) \cdot (0.387)) + 0.60)}^{2}

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 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})

How to Evaluate Nusselt number for horizontal cylinders?

Nusselt number for horizontal cylinders evaluator uses Nusselt number(d) Based on Diameter = (0.60+(0.387*((Grashof Number(d) Based on Diameter*Prandtl Number)/((1+(0.559/Prandtl Number)^0.5625)^0.296))^0.167))^2 to evaluate the Nusselt number(d) Based on Diameter, The Nusselt number for horizontal cylinders formula is defined as the ratio of convective to conductive heat transfer across a boundary. Nusselt number(d) Based on Diameter is denoted by NuD symbol.

How to evaluate Nusselt number for horizontal cylinders using this online evaluator? To use this online evaluator for Nusselt number for horizontal cylinders, enter Grashof Number(d) Based on Diameter (GrD) & Prandtl Number (Pr) and hit the calculate button.

FAQs on Nusselt number for horizontal cylinders

What is the formula to find Nusselt number for horizontal cylinders?

The formula of Nusselt number for horizontal cylinders is expressed as Nusselt number(d) Based on Diameter = (0.60+(0.387*((Grashof Number(d) Based on Diameter*Prandtl Number)/((1+(0.559/Prandtl Number)^0.5625)^0.296))^0.167))^2. Here is an example- 0.815886 = (0.60+(0.387*((0.4*0.7)/((1+(0.559/0.7)^0.5625)^0.296))^0.167))^2.

How to calculate Nusselt number for horizontal cylinders?

With Grashof Number(d) Based on Diameter (GrD) & Prandtl Number (Pr) we can find Nusselt number for horizontal cylinders using the formula - Nusselt number(d) Based on Diameter = (0.60+(0.387*((Grashof Number(d) Based on Diameter*Prandtl Number)/((1+(0.559/Prandtl Number)^0.5625)^0.296))^0.167))^2.

What are the other ways to Calculate Nusselt number(d) Based on Diameter?

Here are the different ways to Calculate Nusselt number(d) Based on Diameter-

Nusselt number(d) Based on Diameter=0.36+((0.518*((Grashof Number(d) Based on Diameter*Prandtl Number)^0.25))/((1+(0.559/Prandtl Number)^0.5625)^0.444))
Nusselt number(d) Based on Diameter=0.53*((Grashof Number(d) Based on Diameter*(Prandtl Number^2))^0.25)
Nusselt number(d) Based on Diameter=(((((Grashof Number(d) Based on Diameter*Prandtl Number)/((1+((0.559/Prandtl Number)^(0.5625)))^(0.296)))^(.167))*(0.387))+0.60)^(2)

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Nusselt number for horizontal cylinders Formula

​GoNusselt Number based on Diameter for Horizontal Cylinders Formula

​GoNusselt Number based on Diameter for Liquid Metals Formula

Nusselt number for horizontal cylinders Example

Nusselt number for horizontal cylinders Solution

Nusselt number for horizontal cylinders Formula Elements

Other Formulas to find Nusselt number(d) Based on Diameter

Other formulas in Nusselt Number category

How to Evaluate Nusselt number for horizontal cylinders?

FAQs on Nusselt number for horizontal cylinders

Variable Name

GoNusselt Number based on Diameter for Horizontal Cylinders Formula

GoNusselt Number based on Diameter for Liquid Metals Formula