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=3.66+(0.0668(DhdL)ReDPr1+0.04((DhdL)ReDPr)0.67)
Nu - Nusselt Number?Dhd - Diameter of Hydrodynamic Entry Tube?L - Length?ReD - Reynolds Number Dia?Pr - Prandtl Number?

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

With values
With units
Only example

Here is how the Nusselt number for hydrodynamic length fully developed and thermal length still developing equation looks like with Values.

Here is how the Nusselt number for hydrodynamic length fully developed and thermal length still developing equation looks like with Units.

Here is how the Nusselt number for hydrodynamic length fully developed and thermal length still developing equation looks like.

4.5789Edit=3.66+(0.0668(0.0469Edit3Edit)1600Edit0.7Edit1+0.04((0.0469Edit3Edit)1600Edit0.7Edit)0.67)
You are here -

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

Follow our step by step solution on how to calculate Nusselt number for hydrodynamic length fully developed and thermal length still developing?

FIRST Step Consider the formula
Nu=3.66+(0.0668(DhdL)ReDPr1+0.04((DhdL)ReDPr)0.67)
Next Step Substitute values of Variables
Nu=3.66+(0.0668(0.0469m3m)16000.71+0.04((0.0469m3m)16000.7)0.67)
Next Step Prepare to Evaluate
Nu=3.66+(0.0668(0.04693)16000.71+0.04((0.04693)16000.7)0.67)
Next Step Evaluate
Nu=4.5788773458785
LAST Step Rounding Answer
Nu=4.5789

Nusselt number for hydrodynamic length fully developed and thermal length still developing 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.
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: Dhd
Measurement: LengthUnit: m
Note: Value should be greater than 0.
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.
Reynolds Number Dia
The Reynolds Number Dia is a dimensionless quantity that helps predict flow patterns in fluid mechanics, specifically for laminar flow in tubes based on diameter.
Symbol: ReD
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
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.

Other Formulas to find Nusselt Number

​Go Nusselt number for short lengths
Nu=1.67(ReDPrDhdL)0.333
​Go Nusselt number for simultaneous development of hydrodynamic and thermal layers
Nu=3.66+(0.104(ReDPr(DtL))1+0.16(ReDPr(DtL))0.8)
​Go Nusselt number for simultaneous development of hydrodynamic and thermal layers for liquids
Nu=1.86((ReDPrLDhd)0.333)(μbtμw)0.14
​Go Nusselt number for short tube thermal development
Nu=1.30(RePrLDhd)0.333

Other formulas in Laminar Flow category

​Go Darcy friction factor
df=64ReD
​Go Reynolds Number given Darcy Friction Factor
ReD=64df
​Go Hydrodynamic entry length
L=0.04DhdReD
​Go Diameter of hydrodynamic entry tube
Dhd=L0.04ReD

How to Evaluate Nusselt number for hydrodynamic length fully developed and thermal length still developing?

Nusselt number for hydrodynamic length fully developed and thermal length still developing evaluator uses 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)) to evaluate the Nusselt Number, Nusselt number for hydrodynamic length fully developed and thermal length still developing formula is defined as a dimensionless quantity that characterizes the convective heat transfer relative to conductive heat transfer in fluid flow, particularly in laminar flow conditions within tubes. Nusselt Number is denoted by Nu symbol.

How to evaluate Nusselt number for hydrodynamic length fully developed and thermal length still developing using this online evaluator? To use this online evaluator for Nusselt number for hydrodynamic length fully developed and thermal length still developing, enter Diameter of Hydrodynamic Entry Tube (Dhd), Length (L), Reynolds Number Dia (ReD) & Prandtl Number (Pr) and hit the calculate button.

FAQs on Nusselt number for hydrodynamic length fully developed and thermal length still developing

What is the formula to find Nusselt number for hydrodynamic length fully developed and thermal length still developing?
The formula of Nusselt number for hydrodynamic length fully developed and thermal length still developing is expressed as 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)). Here is an example- 4.578877 = 3.66+((0.0668*(0.046875/3)*1600*0.7)/(1+0.04*((0.046875/3)*1600*0.7)^0.67)).
How to calculate Nusselt number for hydrodynamic length fully developed and thermal length still developing?
With Diameter of Hydrodynamic Entry Tube (Dhd), Length (L), Reynolds Number Dia (ReD) & Prandtl Number (Pr) we can find Nusselt number for hydrodynamic length fully developed and thermal length still developing using the formula - 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)).
What are the other ways to Calculate Nusselt Number?
Here are the different ways to Calculate Nusselt Number-
  • Nusselt Number=1.67*(Reynolds Number Dia*Prandtl Number*Diameter of Hydrodynamic Entry Tube/Length)^0.333OpenImg
  • 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))OpenImg
  • Nusselt Number=1.86*(((Reynolds Number Dia*Prandtl Number)/(Length/Diameter of Hydrodynamic Entry Tube))^0.333)*(Dynamic Viscosity at Bulk Temperature/Dynamic Viscosity at Wall Temperature)^0.14OpenImg
Copied!