Nusselt Number for Liquids Solution

STEP 0: Pre-Calculation Summary
Formula Used
Nusselt Number = (0.35+((0.56)*(Reynolds Number Dia)^(0.52)))* ((Prandtl Number)^(0.333))
Nu = (0.35+((0.56)*(ReD)^(0.52)))* ((Pr)^(0.333))
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 = (0.35+((0.56)*(ReD)^(0.52)))* ((Pr)^(0.333)) --> (0.35+((0.56)*(1600)^(0.52)))* ((0.7)^(0.333))
Evaluating ... ...
Nu = 23.3648976532646
STEP 3: Convert Result to Output's Unit
23.3648976532646 --> No Conversion Required
FINAL ANSWER
23.3648976532646 23.3649 <-- Nusselt Number
(Calculation completed in 00.004 seconds)

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Created by Prasana Kannan
Sri sivasubramaniyanadar college of engineering (ssn college of engineering), Chennai
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12 Flow over Cylinders Calculators

Nusselt number given dynamic viscosity
Go Nusselt Number = (0.4*(Reynolds Number^0.5)+0.06*(Reynolds Number^0.67))*(Prandtl Number^0.4)*(Dynamic Viscosity at Free Stream Temperature/Dynamic Viscosity at Wall Temperature)^0.25
Nusselt Number in Forced Convection for Cross Flow
Go Nusselt Number = 0.3+ (((((0.62)*((Reynolds Number)^(1/2))*((Prandtl Number)^(1/3))))/ ((1+((0.4/Prandtl Number)^(2/3)))^(1/4)))* ((1+((Reynolds Number/282000)^(5/8)))^(4/5)))
Nusselt number for liquid metals and silicones
Go Nusselt Number = 0.3+((0.62*(Reynolds Number^0.5)*(Prandtl Number^0.333))/(1+((0.4/Prandtl Number)^0.67))^0.25)*(1+(Reynolds Number/282000)^0.625)^0.8
Nusselt number for liquid metals and silicones with higher Reynolds number value
Go Nusselt Number = 0.3+((0.62*(Reynolds Number^0.5)*(Prandtl Number^0.333))/(1+((0.4/Prandtl Number)^0.67))^0.25)*(1+(Reynolds Number Dia/282000)^0.5)
Nusselt number when property variation is larger due to temperature variation
Go Nusselt Number = 0.25*(Reynolds Number^0.6)*(Prandtl Number^0.38)*(Prandtl Number at Film Temperature/Prandtl Number at Wall Temperature)^0.25
Nusselt Number for Liquids
Go Nusselt Number = (0.35+((0.56)*(Reynolds Number Dia)^(0.52)))* ((Prandtl Number)^(0.333))
Nusselt Number based on Diameter
Go Nusselt Number = (0.35+0.56*(Reynolds Number^0.52))*Prandtl Number^0.33
Nusselt number for liquids and gases
Go Nusselt Number = (0.43+0.50*(Reynolds Number^0.5))*Prandtl Number^0.38
Nusselt Number for Liquid Metals given Peclet Number
Go Nusselt Number = (0.8237-ln(Peclet Number^0.5))^-1
Nusselt number for liquids with higher Peclet number
Go Nusselt Number = 1.25*(Peclet Number^0.413)
Nusselt number for liquid metals with constant heat flux
Go Nusselt Number = 1.145*Peclet Number^0.5
Nusselt number for liquid metals with constant wall temperature
Go Nusselt Number = 1.05*Peclet Number^0.5

Nusselt Number for Liquids Formula

Nusselt Number = (0.35+((0.56)*(Reynolds Number Dia)^(0.52)))* ((Prandtl Number)^(0.333))
Nu = (0.35+((0.56)*(ReD)^(0.52)))* ((Pr)^(0.333))

What is a Nusselt number?

The Nusselt number is defined as the ratio of convection heat transfer to fluid conduction heat transfer under the same conditions.

What is Reynolds Number?

The Reynolds number is the ratio of inertial forces to viscous forces within a fluid that is subjected to relative internal movement due to different fluid velocities.

How to Calculate Nusselt Number for Liquids?

Nusselt Number for Liquids calculator uses Nusselt Number = (0.35+((0.56)*(Reynolds Number Dia)^(0.52)))* ((Prandtl Number)^(0.333)) to calculate the Nusselt Number, The Nusselt Number for Liquids formula is defined as for Reynolds number between 0.1 to 10^5 and is stated as a dimensional number in terms of Reynolds and Prandtl number. Nusselt Number is denoted by Nu symbol.

How to calculate Nusselt Number for Liquids using this online calculator? To use this online calculator for Nusselt Number for Liquids, enter Reynolds Number Dia (ReD) & Prandtl Number (Pr) and hit the calculate button. Here is how the Nusselt Number for Liquids calculation can be explained with given input values -> 23.3649 = (0.35+((0.56)*(1600)^(0.52)))* ((0.7)^(0.333)) .

FAQ

What is Nusselt Number for Liquids?
The Nusselt Number for Liquids formula is defined as for Reynolds number between 0.1 to 10^5 and is stated as a dimensional number in terms of Reynolds and Prandtl number and is represented as Nu = (0.35+((0.56)*(ReD)^(0.52)))* ((Pr)^(0.333)) or Nusselt Number = (0.35+((0.56)*(Reynolds Number Dia)^(0.52)))* ((Prandtl Number)^(0.333)). 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 Liquids?
The Nusselt Number for Liquids formula is defined as for Reynolds number between 0.1 to 10^5 and is stated as a dimensional number in terms of Reynolds and Prandtl number is calculated using Nusselt Number = (0.35+((0.56)*(Reynolds Number Dia)^(0.52)))* ((Prandtl Number)^(0.333)). To calculate Nusselt Number for Liquids, 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 11 other way(s) to calculate the same, which is/are as follows -
  • Nusselt Number = (0.35+0.56*(Reynolds Number^0.52))*Prandtl Number^0.33
  • Nusselt Number = (0.43+0.50*(Reynolds Number^0.5))*Prandtl Number^0.38
  • Nusselt Number = 0.25*(Reynolds Number^0.6)*(Prandtl Number^0.38)*(Prandtl Number at Film Temperature/Prandtl Number at Wall Temperature)^0.25
  • Nusselt Number = (0.4*(Reynolds Number^0.5)+0.06*(Reynolds Number^0.67))*(Prandtl Number^0.4)*(Dynamic Viscosity at Free Stream Temperature/Dynamic Viscosity at Wall Temperature)^0.25
  • Nusselt Number = 0.3+((0.62*(Reynolds Number^0.5)*(Prandtl Number^0.333))/(1+((0.4/Prandtl Number)^0.67))^0.25)*(1+(Reynolds Number/282000)^0.625)^0.8
  • Nusselt Number = 0.3+((0.62*(Reynolds Number^0.5)*(Prandtl Number^0.333))/(1+((0.4/Prandtl Number)^0.67))^0.25)*(1+(Reynolds Number Dia/282000)^0.5)
  • Nusselt Number = (0.8237-ln(Peclet Number^0.5))^-1
  • Nusselt Number = 1.25*(Peclet Number^0.413)
  • Nusselt Number = 1.05*Peclet Number^0.5
  • Nusselt Number = 1.145*Peclet Number^0.5
  • Nusselt Number = 0.3+ (((((0.62)*((Reynolds Number)^(1/2))*((Prandtl Number)^(1/3))))/ ((1+((0.4/Prandtl Number)^(2/3)))^(1/4)))* ((1+((Reynolds Number/282000)^(5/8)))^(4/5)))
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