Nusselt number for smooth tubes and fully developed flow Solution

STEP 0: Pre-Calculation Summary
Formula Used
Nusselt Number = 0.625*(Reynolds Number Dia*Prandtl Number)^0.4
Nu = 0.625*(ReD*Pr)^0.4
This formula uses 3 Variables
Variables Used
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.
Reynolds Number Dia - Reynolds Number Dia is the ratio of inertial forces to viscous forces.
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.
STEP 1: Convert Input(s) to Base Unit
Reynolds Number Dia: 1600 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Nu = 0.625*(ReD*Pr)^0.4 --> 0.625*(1600*0.7)^0.4
Evaluating ... ...
Nu = 10.3649503578032
STEP 3: Convert Result to Output's Unit
10.3649503578032 --> No Conversion Required
FINAL ANSWER
10.3649503578032 10.36495 <-- Nusselt Number
(Calculation completed in 00.004 seconds)

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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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14 Turbulent Flow Calculators

Nusselt number for Smooth tubes
Go Nusselt Number = 0.027*(Reynolds Number Dia^0.8)*(Prandtl Number^0.333)*(Dynamic Viscosity at Mean Temperature/Dynamic Viscosity at Wall Temperature)^0.14
Nusselt Number given viscosity of fluid
Go Nusselt Number = ((0.027)*((Reynolds Number)^(0.8)))* ((Prandtl Number)^(1/3))* ((Average Viscosity of Fluid/Wall Viscosity)^(0.14))
Friction factor for rough tubes
Go Friction Factor = 1.325/((ln((Surface Roughness/3.7*Diameter)+(5.74/(Reynolds Number^0.9))))^2)
Nusselt number at entrance region
Go Nusselt Number = 0.036*(Reynolds Number Dia^0.8)*(Prandtl Number^0.33)*(Diameter/Length)^0.055
Nusselt number for short pipes
Go Nusselt Number for Short Pipes = Nusselt Number*(1+(Constant a/(Length/Diameter)))
Nusselt number for constant heat flux
Go Nusselt Number = 4.82+0.0185*(Reynolds Number Dia*Prandtl Number)^0.827
Nusselt number for liquid metals at constant wall temperature
Go Nusselt Number = 5+0.025*(Reynolds Number Dia*Prandtl Number)^0.8
Friction factor for Re greater than 2300
Go Friction Factor = 0.25*(1.82*log10(Reynolds Number Dia)-1.64)^-2
Nusselt number for smooth tubes and fully developed flow
Go Nusselt Number = 0.625*(Reynolds Number Dia*Prandtl Number)^0.4
Stanton number at bulk temperature
Go Stanton Number = Friction Factor/(8*(Prandtl Number^0.67))
Friction factor for rough tube Colburn analogy
Go Friction Factor = 8*Stanton Number*(Prandtl Number^0.67)
Friction factor for Re greater than 10000
Go Friction Factor = 0.184*Reynolds Number Dia^(-0.2)
Friction factor for transitional turbulent flow
Go Friction Factor = 0.316*Reynolds Number Dia^-0.25
Nusselt number for thermal entry region
Go Nusselt Number = 3.0*Reynolds Number Dia^0.0833

Nusselt number for smooth tubes and fully developed flow Formula

Nusselt Number = 0.625*(Reynolds Number Dia*Prandtl Number)^0.4
Nu = 0.625*(ReD*Pr)^0.4

What is internal flow?

Internal flow is a flow for which the fluid is confined by a surface. Hence the boundary layer is unable to develop without eventually being constrained. The internal flow configuration represents a convenient geometry for heating and cooling fluids used in chemical processing, environmental control, and energy conversion technologies.
An example includes flow in a pipe.

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

Nusselt number for smooth tubes and fully developed flow calculator uses Nusselt Number = 0.625*(Reynolds Number Dia*Prandtl Number)^0.4 to calculate 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 calculate Nusselt number for smooth tubes and fully developed flow using this online calculator? To use this online calculator for Nusselt number for smooth tubes and fully developed flow, enter Reynolds Number Dia (ReD) & Prandtl Number (Pr) and hit the calculate button. Here is how the Nusselt number for smooth tubes and fully developed flow calculation can be explained with given input values -> 10.36495 = 0.625*(1600*0.7)^0.4.

FAQ

What is Nusselt number for smooth tubes and fully developed flow?
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 and is represented as Nu = 0.625*(ReD*Pr)^0.4 or Nusselt Number = 0.625*(Reynolds Number Dia*Prandtl Number)^0.4. Reynolds Number Dia is the ratio of inertial forces to viscous forces & 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.
How to calculate Nusselt number for smooth tubes and fully developed flow?
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 is calculated using Nusselt Number = 0.625*(Reynolds Number Dia*Prandtl Number)^0.4. To calculate Nusselt number for smooth tubes and fully developed flow, you need Reynolds Number Dia (ReD) & Prandtl Number (Pr). With our tool, you need to enter the respective value for Reynolds Number Dia & Prandtl Number and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Nusselt Number?
In this formula, Nusselt Number uses Reynolds Number Dia & Prandtl Number. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Nusselt Number = 0.036*(Reynolds Number Dia^0.8)*(Prandtl Number^0.33)*(Diameter/Length)^0.055
  • Nusselt Number = 0.027*(Reynolds Number Dia^0.8)*(Prandtl Number^0.333)*(Dynamic Viscosity at Mean Temperature/Dynamic Viscosity at Wall Temperature)^0.14
  • Nusselt Number = 5+0.025*(Reynolds Number Dia*Prandtl Number)^0.8
  • Nusselt Number = 4.82+0.0185*(Reynolds Number Dia*Prandtl Number)^0.827
  • Nusselt Number = 3.0*Reynolds Number Dia^0.0833
  • Nusselt Number = ((0.027)*((Reynolds Number)^(0.8)))* ((Prandtl Number)^(1/3))* ((Average Viscosity of Fluid/Wall Viscosity)^(0.14))
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