How to Calculate Nusselt Number for Air Flow in a Pipe with ANSYS?

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Discussion Overview

The discussion revolves around calculating the Nusselt number for air flow in a pipe using ANSYS, specifically focusing on the parameters involved in the empirical relationship for Nusselt number and the challenges faced in the simulation setup.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Experimental/applied

Main Points Raised

  • One participant seeks help to calculate the Nusselt number in the form of an empirical equation with unknown constants N1, N2, N3, and N4.
  • Another participant suggests that with known Nusselt, Prandtl, and Reynolds numbers, the constants may not be necessary for the calculation.
  • A participant mentions that ANSYS does not directly input a Nusselt number but requires the film coefficient derived from it.
  • Questions arise regarding whether the flow is 2D or 3D, with a participant noting that the pipe's wavy shape necessitates a 3D analysis.
  • Concerns are raised about meshing the geometry in ANSYS with the appropriate elements, with a preference expressed for using CFX over Workbench.
  • One participant suggests using symmetry in the model to simplify the analysis, while another participant describes the specific conditions of the fluid flow and heating process.
  • A later reply references the Colburn equation as a potential resource for calculating the local Nusselt number in turbulent flow, suggesting that hand calculations may be more effective than numerical simulations.

Areas of Agreement / Disagreement

Participants express differing views on the necessity of calculating constants for the Nusselt number and the effectiveness of numerical simulations versus hand calculations. The discussion remains unresolved regarding the best approach to take for the specific problem presented.

Contextual Notes

Participants mention various assumptions regarding flow conditions, the geometry of the pipe, and the applicability of different equations, but these assumptions remain unresolved and depend on specific definitions and contexts.

amirghaderi
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Hi
i need to calculate nusselt number for stimulation of air flow in a pipe with 5mm diameter and the pressure is 5atm.
it should be in the form:
Nu = N1 + N2 Re^N3*Pr^N4
and i want to calculate N1,N2,N3,N4.
but i don't know how?
can anyone Help?
 
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For simple air flow through a circular conduit and given proper boundary conditions, you should be able to find analytic...well empirical relations.
 
hi minger
but all i have is nusselt, prandtl and reynolds numbers...
so i have 3 known factors but 4 unknown: N1,N2,N3 and N4.
it has not a unique solo...
 
If you have all of thsoe parameters, why do you care what the constants are?

Also, here is a solution
N1 = Nu
N2 = 0.0
N3 = 0.0

The point I'm trying to make is that there will be an infinite number of solutions given one data point.
 
ANSYS has no input for a Nusselt number. You need to calculate the film coefficient from the Nusselt Number and then use the calculated film coefficient for your boundary condition on the pipe wall.
 
ok
but how i can calculate film coefficient from nusselt?
i am using fluid116...
and has N1...N4 input.
can i change its options to change required inputs?
tanx...
 
Is this 2D flow or 3D? (I haven't used the old FLOTRAN elements in years) Pipe flow is axisymmetric so you should do a simple 2D analysis. (3D will not show you anymore information than a 2D analysis would) You calculate the film coefficient from the relationship Nu=hD/k. Where k is the fluid thermal conductivity, h is the film coefficient, and D is the inside diameter of the pipe.
 
its 3D analize because it has a wavy shape (it's not straight) so i can't do it axis symmetric..
i create 3D pipe geometry in ansys workbench and i import it in ansys.
but i can't mesh it with element "FLUID116" ...
with witch element i can mesh instead??
tanx
 
Not sure what element you can use in workbench. (I hate workbench, it should be outlawed) I use CFX for all of my fluid simulations. I am having a hard time understanding how a cylindrical corrogated pipe is not axisymmetric. Do you have a picture of the geometry?
 
  • #10
the pipe is like this..
i don't work in work bench i just create its geometry in workbench.
but i do other analizes in ANSYS .
 

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  • #11
I see. What are you trying to calculate? Pressure drop? Velocity? ... Also, the model is symmetric at the midplane so you could save some time and use symmetry. If I know what you are after I can help you out better.
 
  • #12
the problem is :
the fluid with 5atm pressure and -50C flows through the pipe , the pipe is heated by heaters on its side and has constant temp 200C.
i want to find the required length to have fluid with 100C.
 
  • #13
Did you check your textbooks as I mentioned earlier? Look for something called the Colburn equation. It is written exactly as you need and is written for computing the local Nusselt number for a fully developed (hydrodynamically and thermally) turbulent flow in a smooth circular tube.

In fact, in my textbook the following example problem is very closely related to what you're trying to do. They give a length and find exit temperature, you need vice versa.

To be honest, do this with a pencil and pad of paper, you'll be much closer than doing a numerical simulation. In order to accurately model the heat transfer from the moving fluid, you'll need to accurately resolve the thermal boundary layer. You're much better off doing a hand-calc.
 
  • #14
hi minger
can you tell me what is your textbook?
tanx
 

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