FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Nusselt number for short lengths Formula

GoNusselt number for hydrodynamic length fully developed and thermal length still developing Formula

GoNusselt number for simultaneous development of hydrodynamic and thermal layers Formula

Fx Copy

LaTeX Copy

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 = 1.67 \cdot {(Re D \cdot Pr \cdot \frac{D}{L})}^{0.333}

Nu - Nusselt Number?Re_D - Reynolds Number Dia?Pr - Prandtl Number?D - Diameter?L - Length?

Nusselt number for short lengths Example

With values

With units

Only example

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

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

Here is how the Nusselt number for short lengths equation looks like.

25.836 = 1.67 \cdot {(1600 \cdot 0.7 \cdot \frac{10}{3})}^{0.333}

25.836 = 1.67 \cdot {(1600 \cdot 0.7 \cdot \frac{10m}{3m})}^{0.333}

25.836 = 1.67 \cdot {(1600 \cdot 0.7 \cdot \frac{10}{3})}^{0.333}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Heat and Mass Transfer » fx Nusselt number for short lengths

Nusselt number for short lengths Solution

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

FIRST Step Consider the formula

Nu = 1.67 \cdot {(Re D \cdot Pr \cdot \frac{D}{L})}^{0.333}

Next Step Substitute values of Variables

∴

Nu = 1.67 \cdot {(1600 \cdot 0.7 \cdot \frac{10m}{3m})}^{0.333}

Next Step Prepare to Evaluate

∴

Nu = 1.67 \cdot {(1600 \cdot 0.7 \cdot \frac{10}{3})}^{0.333}

Next Step Evaluate

∴

Nu = 25.8359654368098

LAST Step Rounding Answer

∴

Nu = 25.836

Nusselt number for short lengths 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

Reynolds Number Dia

Reynolds Number Dia is the ratio of inertial forces to viscous forces.

Symbol: Re_D

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Reynolds Number Dia

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

Diameter

Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter

Length

Length is the measurement or extent of something from end to end.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length

Other Formulas to find Nusselt Number

Go Nusselt number for hydrodynamic length fully developed and thermal length still developing

Nu = 3.66 + (\frac{0.0668 \cdot (\frac{D}{L}) \cdot Re D \cdot Pr}{1 + 0.04 \cdot {((\frac{D}{L}) \cdot Re D \cdot Pr)}^{0.67}})

Go Nusselt number for simultaneous development of hydrodynamic and thermal layers

Nu = 3.66 + (\frac{0.104 \cdot (Re D \cdot Pr \cdot (\frac{D}{L}))}{1 + 0.16 \cdot {(Re D \cdot Pr \cdot (\frac{D}{L}))}^{0.8}})

Go Nusselt number for simultaneous development of hydrodynamic and thermal layers for liquids

Nu = 1.86 \cdot ({(\frac{Re D \cdot Pr}{\frac{L}{D}})}^{0.333}) \cdot {(\frac{μ bt}{μ w})}^{0.14}

Go Nusselt number for short tube thermal development

Nu = 1.30 \cdot {(\frac{Re D \cdot Pr}{\frac{L}{D}})}^{0.333}

Other formulas in Laminar Flow category

Go Darcy friction factor

df = \frac{64}{Re D}

Go Reynolds Number given Darcy Friction Factor

Re = \frac{64}{df}

Go Hydrodynamic entry length

L = 0.04 \cdot D \cdot Re D

Go Diameter of hydrodynamic entry tube

D = \frac{L}{0.04 \cdot Re D}

How to Evaluate Nusselt number for short lengths?

Nusselt number for short lengths evaluator uses Nusselt Number = 1.67*(Reynolds Number Dia*Prandtl Number*Diameter/Length)^0.333 to evaluate the Nusselt Number, The Nusselt number for short lengths formula is defined as the ratio between heat transfer by convection (α) and heat transfer by conduction alone. Nusselt Number is denoted by Nu symbol.

How to evaluate Nusselt number for short lengths using this online evaluator? To use this online evaluator for Nusselt number for short lengths, enter Reynolds Number Dia (Re_D), Prandtl Number (Pr), Diameter (D) & Length (L) and hit the calculate button.

FAQs on Nusselt number for short lengths

What is the formula to find Nusselt number for short lengths?

The formula of Nusselt number for short lengths is expressed as Nusselt Number = 1.67*(Reynolds Number Dia*Prandtl Number*Diameter/Length)^0.333. Here is an example- 25.83597 = 1.67*(1600*0.7*10/3)^0.333.

How to calculate Nusselt number for short lengths?

With Reynolds Number Dia (Re_D), Prandtl Number (Pr), Diameter (D) & Length (L) we can find Nusselt number for short lengths using the formula - Nusselt Number = 1.67*(Reynolds Number Dia*Prandtl Number*Diameter/Length)^0.333.

What are the other ways to Calculate Nusselt Number?

Here are the different ways to Calculate Nusselt Number-

Nusselt Number=3.66+((0.0668*(Diameter/Length)*Reynolds Number Dia*Prandtl Number)/(1+0.04*((Diameter/Length)*Reynolds Number Dia*Prandtl Number)^0.67))
Nusselt Number=3.66+((0.104*(Reynolds Number Dia*Prandtl Number*(Diameter/Length)))/(1+0.16*(Reynolds Number Dia*Prandtl Number*(Diameter/Length))^0.8))
Nusselt Number=1.86*(((Reynolds Number Dia*Prandtl Number)/(Length/Diameter))^0.333)*(Dynamic Viscosity at Bulk Temperature/Dynamic Viscosity at Wall Temperature)^0.14

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Nusselt number for short lengths Formula

​GoNusselt number for hydrodynamic length fully developed and thermal length still developing Formula

​GoNusselt number for simultaneous development of hydrodynamic and thermal layers Formula

Nusselt number for short lengths Example

Nusselt number for short lengths Solution

Nusselt number for short lengths Formula Elements

Other Formulas to find Nusselt Number

Other formulas in Laminar Flow category

How to Evaluate Nusselt number for short lengths?

FAQs on Nusselt number for short lengths

Variable Name

GoNusselt number for hydrodynamic length fully developed and thermal length still developing Formula

GoNusselt number for simultaneous development of hydrodynamic and thermal layers Formula