Nusselt Number for Liquids Solution

STEP 0: Pre-Calculation Summary
Formula Used
Nusselt Number = (0.35+0.56*Reynolds Number^0.52)*Prandtl Number^0.333
Nu = (0.35+0.56*Re^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 - The Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities.
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: 5 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Nu = (0.35+0.56*Re^0.52)*Pr^0.333 --> (0.35+0.56*5^0.52)*0.7^0.333
Evaluating ... ...
Nu = 1.45914224975046
STEP 3: Convert Result to Output's Unit
1.45914224975046 --> No Conversion Required
FINAL ANSWER
1.45914224975046 1.459142 <-- Nusselt Number
(Calculation completed in 00.004 seconds)

Credits

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Created by Prasana Kannan
Sri sivasubramaniyanadar college of engineering (ssn college of engineering), Chennai
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Mahatma Gandhi Institute of Technology (MGIT), Hyderabad
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Flow over Cylinders Calculators

Nusselt number given dynamic viscosity
​ LaTeX ​ 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 when property variation is larger due to temperature variation
​ LaTeX ​ 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 based on Diameter
​ LaTeX ​ Go Nusselt Number = (0.35+0.56*(Reynolds Number^0.52))*Prandtl Number^0.33
Nusselt number for liquids and gases
​ LaTeX ​ Go Nusselt Number = (0.43+0.50*(Reynolds Number^0.5))*Prandtl Number^0.38

Nusselt Number for Liquids Formula

​LaTeX ​Go
Nusselt Number = (0.35+0.56*Reynolds Number^0.52)*Prandtl Number^0.333
Nu = (0.35+0.56*Re^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^0.52)*Prandtl Number^0.333 to calculate the Nusselt Number, Nusselt Number for Liquids formula is defined as a dimensionless value that characterizes convective heat transfer between a fluid and a solid surface, specifically in flow over cylinders, providing a crucial parameter in designing and optimizing heat transfer systems. 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 (Re) & Prandtl Number (Pr) and hit the calculate button. Here is how the Nusselt Number for Liquids calculation can be explained with given input values -> 1.459142 = (0.35+0.56*5^0.52)*0.7^0.333.

FAQ

What is Nusselt Number for Liquids?
Nusselt Number for Liquids formula is defined as a dimensionless value that characterizes convective heat transfer between a fluid and a solid surface, specifically in flow over cylinders, providing a crucial parameter in designing and optimizing heat transfer systems and is represented as Nu = (0.35+0.56*Re^0.52)*Pr^0.333 or Nusselt Number = (0.35+0.56*Reynolds Number^0.52)*Prandtl Number^0.333. The Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities & 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?
Nusselt Number for Liquids formula is defined as a dimensionless value that characterizes convective heat transfer between a fluid and a solid surface, specifically in flow over cylinders, providing a crucial parameter in designing and optimizing heat transfer systems is calculated using Nusselt Number = (0.35+0.56*Reynolds Number^0.52)*Prandtl Number^0.333. To calculate Nusselt Number for Liquids, you need Reynolds Number (Re) & Prandtl Number (Pr). With our tool, you need to enter the respective value for Reynolds Number & 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 & Prandtl Number. We can use 3 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
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