Nusselt number for liquid metals and silicones with higher Reynolds number value Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
Nu = 0.3+((0.62*(Re^0.5)*(Pr^0.333))/(1+((0.4/Pr)^0.67))^0.25)*(1+(ReD/282000)^0.5)
This formula uses 4 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.
Reynolds Number Dia - Reynolds Number Dia is the ratio of inertial forces to viscous forces.
STEP 1: Convert Input(s) to Base Unit
Reynolds Number: 5 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required
Reynolds Number Dia: 5.5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Nu = 0.3+((0.62*(Re^0.5)*(Pr^0.333))/(1+((0.4/Pr)^0.67))^0.25)*(1+(ReD/282000)^0.5) --> 0.3+((0.62*(5^0.5)*(0.7^0.333))/(1+((0.4/0.7)^0.67))^0.25)*(1+(5.5/282000)^0.5)
Evaluating ... ...
Nu = 1.38494608455103
STEP 3: Convert Result to Output's Unit
1.38494608455103 --> No Conversion Required
FINAL ANSWER
1.38494608455103 1.384946 <-- Nusselt Number
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Nishan Poojary
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
Nishan Poojary has created this Calculator and 500+ more calculators!
Verifier Image
Verified by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
Rajat Vishwakarma has verified this Calculator and 400+ more calculators!

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 liquid metals and silicones with higher Reynolds number value Formula

​LaTeX ​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)
Nu = 0.3+((0.62*(Re^0.5)*(Pr^0.333))/(1+((0.4/Pr)^0.67))^0.25)*(1+(ReD/282000)^0.5)

What is external flow?

In fluid mechanics, external flow is such a flow that boundary layers develop freely, without constraints imposed by adjacent surfaces. Accordingly, there will always exist a region of the flow outside the boundary layer in which velocity, temperature, and/or concentration gradients are negligible. It can be defined as the flow of a fluid around a body that is completely submerged in it.

An example includes fluid motion over a flat plate (inclined or parallel to the free stream velocity) and flow over curved surfaces such as a sphere, cylinder, airfoil, or turbine blade, air flowing around an airplane and water flowing around the submarines.

How to Calculate Nusselt number for liquid metals and silicones with higher Reynolds number value?

Nusselt number for liquid metals and silicones with higher Reynolds number value calculator uses 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) to calculate the Nusselt Number, Nusselt number for liquid metals and silicones with higher Reynolds number value formula is defined as a dimensionless quantity that characterizes convective heat transfer between a fluid and a solid surface, particularly in flow over cylinders, where the Reynolds number is high. Nusselt Number is denoted by Nu symbol.

How to calculate Nusselt number for liquid metals and silicones with higher Reynolds number value using this online calculator? To use this online calculator for Nusselt number for liquid metals and silicones with higher Reynolds number value, enter Reynolds Number (Re), Prandtl Number (Pr) & Reynolds Number Dia (ReD) and hit the calculate button. Here is how the Nusselt number for liquid metals and silicones with higher Reynolds number value calculation can be explained with given input values -> 1.384946 = 0.3+((0.62*(5^0.5)*(0.7^0.333))/(1+((0.4/0.7)^0.67))^0.25)*(1+(5.5/282000)^0.5).

FAQ

What is Nusselt number for liquid metals and silicones with higher Reynolds number value?
Nusselt number for liquid metals and silicones with higher Reynolds number value formula is defined as a dimensionless quantity that characterizes convective heat transfer between a fluid and a solid surface, particularly in flow over cylinders, where the Reynolds number is high and is represented as Nu = 0.3+((0.62*(Re^0.5)*(Pr^0.333))/(1+((0.4/Pr)^0.67))^0.25)*(1+(ReD/282000)^0.5) or 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). 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 & Reynolds Number Dia is the ratio of inertial forces to viscous forces.
How to calculate Nusselt number for liquid metals and silicones with higher Reynolds number value?
Nusselt number for liquid metals and silicones with higher Reynolds number value formula is defined as a dimensionless quantity that characterizes convective heat transfer between a fluid and a solid surface, particularly in flow over cylinders, where the Reynolds number is high is calculated using 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). To calculate Nusselt number for liquid metals and silicones with higher Reynolds number value, you need Reynolds Number (Re), Prandtl Number (Pr) & Reynolds Number Dia (ReD). With our tool, you need to enter the respective value for Reynolds Number, Prandtl Number & Reynolds Number Dia 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 & Reynolds Number Dia. 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
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!