Contact US

Log In

Come Join Us!

Are you an
Engineering professional?
Join Eng-Tips Forums!
  • Talk With Other Members
  • Be Notified Of Responses
    To Your Posts
  • Keyword Search
  • One-Click Access To Your
    Favorite Forums
  • Automated Signatures
    On Your Posts
  • Best Of All, It's Free!

*Eng-Tips's functionality depends on members receiving e-mail. By joining you are opting in to receive e-mail.

Posting Guidelines

Promoting, selling, recruiting, coursework and thesis posting is forbidden.

Students Click Here

Heat source location in 1D and 2D models - Conduction

Heat source location in 1D and 2D models - Conduction

Heat source location in 1D and 2D models - Conduction


I need guidance to formulate a methodology to solve the heat transfer problem. I am interested to determine the strength and location of heat source in 1D and 2D domains.
The known parameters include the material conductivity, the geometry of the domain, boundary temperatures changing with time, and insulated boundaries so conduction only.
I have already applied analytical methods but they work on simplified geometry and central position of heat source so there is symmetry in the temperature profile. This means that boundary temperatures will be equal.
I am interested to find the location of a heat source when boundary temperatures are not equal and therefore heat source will be in a non-central position. Also, the temperature inside the domain will be unknown, the problem needs to be solved using only boundary temperatures. I am supposed to look into numerical techniques but some guidance will be really helpful. Please let me know if something is missing from the explanation and not making sense. Thanks

RE: Heat source location in 1D and 2D models - Conduction

You could use Finite Element Analysis for that (there are many programms that can perform thermal analysis, some even free). But in FEA when you solve time-dependent problem you have to define initial temperature. If you ignore this setting, default value of 0 or room temperature (usually around 293.15 K) will be used by the solver.

RE: Heat source location in 1D and 2D models - Conduction

Hi, thanks for the response.
I have been using FEA to obtain the temperature profile at the boundary walls and there is no issue in running transient thermal simulations. I am using Abaqus to perform FEA analysis rather than physical experimental work.

I want to use the obtained temperature profile from the simulation so it is realistic. Then using the temperature data changing over time, would like to determine the unknown location of the heat source within that domain.

In other words, if I have a heat source in a cuboid body and I can only measure the surface temperature. Temperature measurements limited to any two adjacent surfaces or even just one surface. Using this data how can I estimate how far or how deep is the heat source from the surface.

Known parameters would include temperature change over time, thermal conductivity and geometry of the domain.
Thank you. Looking forward to the response.

RE: Heat source location in 1D and 2D models - Conduction

I don't understand your problem; you have the tool, so why not just move the source around in the simulation and analyze the results? For a cuboid, you'd need 3D FEA.

TTFN (ta ta for now)
I can do absolutely anything. I'm an expert! https://www.youtube.com/watch?v=BKorP55Aqvg
FAQ731-376: Eng-Tips.com Forum Policies forum1529: Translation Assistance for Engineers Entire Forum list http://www.eng-tips.com/forumlist.cfm

RE: Heat source location in 1D and 2D models - Conduction

The issue is I don't know the location of the heat source within the structure. For example, if I am measuring the temperature at the surface of any machine tool, can I manipulate that data to find out the depth (spatial location of heat source). This is a common issue when access to the geometry is restricted, you don't know the exact location of the heat sources and cannot accurately simulate the thermal modelling. Therefore, I want to use just the surface temperature and find out where could heat source possibly be at and match the thermal behaviour as well. I hope this clears up the problem.

RE: Heat source location in 1D and 2D models - Conduction

Yes that's one way to go, but if the structure is a complicated one, running thermal simulations and comparing results until matching results are obtained will take a lot of time. I have done that but its not useful when the geometry is not fully known, that's why I am looking to develop an algorithm that can predict location just by using the transient temperature at the surface.

RE: Heat source location in 1D and 2D models - Conduction


You can solve your 1D and 2D problems analytically. Open any heat transfer textbook and you will find examples of asymmetrical heating.

For complex 3D models, you are going to have a heck of a time developing a method from scratch, in which case you probably want to solicit help from a PhD skilled in heat transfer and numerical methods. I happen to know one; he charges $1000/hour for a phone call.

It sounds like your problem is a bit like looking at shards of broken glass on the floor and demanding to know the precise location, velocity, and orientation with which the wine glass hit the floor. Sure, in a deterministic universe it is possible in theory, but good luck.

Perhaps you just need to use IRstuff's method. If it takes too long, write a script to automate it. From a practical sense, I am extremely interested in exactly what this mysterious black box is that you are trying to look inside of.


Red Flag This Post

Please let us know here why this post is inappropriate. Reasons such as off-topic, duplicates, flames, illegal, vulgar, or students posting their homework.

Red Flag Submitted

Thank you for helping keep Eng-Tips Forums free from inappropriate posts.
The Eng-Tips staff will check this out and take appropriate action.

Reply To This Thread

Posting in the Eng-Tips forums is a member-only feature.

Click Here to join Eng-Tips and talk with other members! Already a Member? Login


Low-Volume Rapid Injection Molding With 3D Printed Molds
Learn methods and guidelines for using stereolithography (SLA) 3D printed molds in the injection molding process to lower costs and lead time. Discover how this hybrid manufacturing process enables on-demand mold fabrication to quickly produce small batches of thermoplastic parts. Download Now
Design for Additive Manufacturing (DfAM)
Examine how the principles of DfAM upend many of the long-standing rules around manufacturability - allowing engineers and designers to place a part’s function at the center of their design considerations. Download Now
Taking Control of Engineering Documents
This ebook covers tips for creating and managing workflows, security best practices and protection of intellectual property, Cloud vs. on-premise software solutions, CAD file management, compliance, and more. Download Now

Close Box

Join Eng-Tips® Today!

Join your peers on the Internet's largest technical engineering professional community.
It's easy to join and it's free.

Here's Why Members Love Eng-Tips Forums:

Register now while it's still free!

Already a member? Close this window and log in.

Join Us             Close