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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=0.625(ReDPr)0.4
Nu - Nusselt Number?ReD - Reynolds Number Dia?Pr - Prandtl Number?

Nusselt number for smooth tubes and fully developed flow Example

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Here is how the Nusselt number for smooth tubes and fully developed flow equation looks like with Values.

Here is how the Nusselt number for smooth tubes and fully developed flow equation looks like with Units.

Here is how the Nusselt number for smooth tubes and fully developed flow equation looks like.

10.365Edit=0.625(1600Edit0.7Edit)0.4
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Nusselt number for smooth tubes and fully developed flow Solution

Follow our step by step solution on how to calculate Nusselt number for smooth tubes and fully developed flow?

FIRST Step Consider the formula
Nu=0.625(ReDPr)0.4
Next Step Substitute values of Variables
Nu=0.625(16000.7)0.4
Next Step Prepare to Evaluate
Nu=0.625(16000.7)0.4
Next Step Evaluate
Nu=10.3649503578032
LAST Step Rounding Answer
Nu=10.365

Nusselt number for smooth tubes and fully developed flow 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.
Reynolds Number Dia
Reynolds Number Dia is the ratio of inertial forces to viscous forces.
Symbol: ReD
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
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.

Other Formulas to find Nusselt Number

​Go Nusselt number at entrance region
Nu=0.036(ReD0.8)(Pr0.33)(DL)0.055
​Go Nusselt number for Smooth tubes
Nu=0.027(ReD0.8)(Pr0.333)(μmμw)0.14
​Go Nusselt number for liquid metals at constant wall temperature
Nu=5+0.025(ReDPr)0.8
​Go Nusselt number for constant heat flux
Nu=4.82+0.0185(ReDPr)0.827

Other formulas in Turbulent Flow category

​Go Friction factor for Re greater than 2300
f=0.25(1.82log10(ReD)-1.64)-2
​Go Friction factor for Re greater than 10000
f=0.184ReD-0.2
​Go Friction factor for rough tubes
f=1.325(ln((e3.7D)+(5.74Re0.9)))2
​Go Friction factor for transitional turbulent flow
f=0.316ReD-0.25

How to Evaluate Nusselt number for smooth tubes and fully developed flow?

Nusselt number for smooth tubes and fully developed flow evaluator uses Nusselt Number = 0.625*(Reynolds Number Dia*Prandtl Number)^0.4 to evaluate the Nusselt Number, The Nusselt number for smooth tubes and fully developed flow formula is defined as a measure of 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 smooth tubes and fully developed flow using this online evaluator? To use this online evaluator for Nusselt number for smooth tubes and fully developed flow, enter Reynolds Number Dia (ReD) & Prandtl Number (Pr) and hit the calculate button.

FAQs on Nusselt number for smooth tubes and fully developed flow

What is the formula to find Nusselt number for smooth tubes and fully developed flow?
The formula of Nusselt number for smooth tubes and fully developed flow is expressed as Nusselt Number = 0.625*(Reynolds Number Dia*Prandtl Number)^0.4. Here is an example- 10.36495 = 0.625*(1600*0.7)^0.4.
How to calculate Nusselt number for smooth tubes and fully developed flow?
With Reynolds Number Dia (ReD) & Prandtl Number (Pr) we can find Nusselt number for smooth tubes and fully developed flow using the formula - Nusselt Number = 0.625*(Reynolds Number Dia*Prandtl Number)^0.4.
What are the other ways to Calculate Nusselt Number?
Here are the different ways to Calculate Nusselt Number-
  • Nusselt Number=0.036*(Reynolds Number Dia^0.8)*(Prandtl Number^0.33)*(Diameter/Length)^0.055OpenImg
  • Nusselt Number=0.027*(Reynolds Number Dia^0.8)*(Prandtl Number^0.333)*(Dynamic Viscosity at Mean Temperature/Dynamic Viscosity at Wall Temperature)^0.14OpenImg
  • Nusselt Number=5+0.025*(Reynolds Number Dia*Prandtl Number)^0.8OpenImg
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