FormulaDen.com

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

Nusselt number for short tube thermal development Formula

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

GoNusselt number for short lengths Formula

Fx Copy

LaTeX Copy

The Nusselt Number is a dimensionless quantity that represents the ratio of convective to conductive heat transfer in fluid flow, indicating the efficiency of heat transfer. Check FAQs

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

Nu - Nusselt Number?Re - Reynolds Number?Pr - Prandtl Number?L - Length?D_hd - Diameter of Hydrodynamic Entry Tube?

Nusselt number for short tube thermal development Example

With values

With units

Only example

Here is how the Nusselt number for short tube thermal development equation looks like with Values.

Here is how the Nusselt number for short tube thermal development equation looks like with Units.

Here is how the Nusselt number for short tube thermal development equation looks like.

4.575 = 1.30 \cdot {(\frac{4000 \cdot 0.7}{\frac{3}{0.0469}})}^{0.333}

4.575 = 1.30 \cdot {(\frac{4000 \cdot 0.7}{\frac{3m}{0.0469m}})}^{0.333}

4.575 = 1.30 \cdot {(\frac{4000 \cdot 0.7}{\frac{3}{0.0469}})}^{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 tube thermal development

Nusselt number for short tube thermal development Solution

Follow our step by step solution on how to calculate Nusselt number for short tube thermal development?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Nu = 1.30 \cdot {(\frac{4000 \cdot 0.7}{\frac{3m}{0.0469m}})}^{0.333}

Next Step Prepare to Evaluate

∴

Nu = 1.30 \cdot {(\frac{4000 \cdot 0.7}{\frac{3}{0.0469}})}^{0.333}

Next Step Evaluate

∴

Nu = 4.57497837312765

LAST Step Rounding Answer

∴

Nu = 4.575

Nusselt number for short tube thermal development Formula Elements

Variables

Nusselt Number

The Nusselt Number is a dimensionless quantity that represents the ratio of convective to conductive heat transfer in fluid flow, indicating the efficiency of heat transfer.

Symbol: Nu

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Nusselt Number

Reynolds Number

The Reynolds Number is a dimensionless quantity that helps predict flow patterns in different fluid flow situations, particularly distinguishing between laminar and turbulent flow in tubes.

Symbol: Re

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Reynolds Number

Prandtl Number

The Prandtl Number is a dimensionless quantity that relates the rate of momentum diffusion to thermal diffusion in fluid flow, indicating the relative importance of convection and conduction.

Symbol: Pr

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Prandtl Number

Length

The Length is the measurement of the distance along the flow direction in a laminar flow scenario within tubes, influencing flow characteristics and heat transfer efficiency.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length

Diameter of Hydrodynamic Entry Tube

The Diameter of Hydrodynamic Entry Tube is the width of the tube where fluid enters, influencing flow characteristics and pressure drop in laminar flow conditions.

Symbol: D_hd

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Hydrodynamic Entry Tube

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 hd}{L}) \cdot Re D \cdot Pr}{1 + 0.04 \cdot {((\frac{D hd}{L}) \cdot Re D \cdot Pr)}^{0.67}})

Go Nusselt number for short lengths

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

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 t}{L}))}{1 + 0.16 \cdot {(Re D \cdot Pr \cdot (\frac{D t}{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 hd}})}^{0.333}) \cdot {(\frac{μ bt}{μ w})}^{0.14}

Other formulas in Laminar Flow category

Go Darcy friction factor

df = \frac{64}{Re D}

Go Reynolds Number given Darcy Friction Factor

Re D = \frac{64}{df}

Go Hydrodynamic entry length

L = 0.04 \cdot D hd \cdot Re D

Go Diameter of hydrodynamic entry tube

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

How to Evaluate Nusselt number for short tube thermal development?

Nusselt number for short tube thermal development evaluator uses Nusselt Number = 1.30*((Reynolds Number*Prandtl Number)/(Length/Diameter of Hydrodynamic Entry Tube))^0.333 to evaluate the Nusselt Number, Nusselt number for short tube thermal development formula is defined as a dimensionless quantity that characterizes the convective heat transfer relative to conductive heat transfer in laminar flow within short tubes, indicating the efficiency of thermal development. Nusselt Number is denoted by Nu symbol.

How to evaluate Nusselt number for short tube thermal development using this online evaluator? To use this online evaluator for Nusselt number for short tube thermal development, enter Reynolds Number (Re), Prandtl Number (Pr), Length (L) & Diameter of Hydrodynamic Entry Tube (D_hd) and hit the calculate button.

FAQs on Nusselt number for short tube thermal development

What is the formula to find Nusselt number for short tube thermal development?

The formula of Nusselt number for short tube thermal development is expressed as Nusselt Number = 1.30*((Reynolds Number*Prandtl Number)/(Length/Diameter of Hydrodynamic Entry Tube))^0.333. Here is an example- 4.574978 = 1.30*((4000*0.7)/(3/0.046875))^0.333.

How to calculate Nusselt number for short tube thermal development?

With Reynolds Number (Re), Prandtl Number (Pr), Length (L) & Diameter of Hydrodynamic Entry Tube (D_hd) we can find Nusselt number for short tube thermal development using the formula - Nusselt Number = 1.30*((Reynolds Number*Prandtl Number)/(Length/Diameter of Hydrodynamic Entry Tube))^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 of Hydrodynamic Entry Tube/Length)*Reynolds Number Dia*Prandtl Number)/(1+0.04*((Diameter of Hydrodynamic Entry Tube/Length)*Reynolds Number Dia*Prandtl Number)^0.67))
Nusselt Number=1.67*(Reynolds Number Dia*Prandtl Number*Diameter of Hydrodynamic Entry Tube/Length)^0.333
Nusselt Number=3.66+((0.104*(Reynolds Number Dia*Prandtl Number*(Diameter of Thermal Entry Tube/Length)))/(1+0.16*(Reynolds Number Dia*Prandtl Number*(Diameter of Thermal Entry Tube/Length))^0.8))

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Nusselt number for short tube thermal development Formula

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

​GoNusselt number for short lengths Formula

Nusselt number for short tube thermal development Example

Nusselt number for short tube thermal development Solution

Nusselt number for short tube thermal development Formula Elements

Other Formulas to find Nusselt Number

Other formulas in Laminar Flow category

How to Evaluate Nusselt number for short tube thermal development?

FAQs on Nusselt number for short tube thermal development

Variable Name

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

GoNusselt number for short lengths Formula