A new front surface heat flux calibration method for a 1-D nonlinear thermal system with a time-varying back boundary condition

A new front surface heat flux calibration method for a 1-D nonlinear thermal system with a... A novel calibration methodology is presented for resolving the front surface heat flux in a one-dimensional nonlinear sample with an unknown time-varying back boundary condition. This method combines the attributes of the recently reported linear two-probe calibration equation and the nonlinear one-probe calibration equation. The proposed calibration formulation is expressed in terms of a Volterra integral equation of the first type. This functional equation relates the rescaled unknown front surface heat flux to two rescaled calibration front surface heat fluxes and corresponding rescaled temperature data at the two in-depth probes when the sample is subjected to the unknown boundary conditions. A localized Tikhonov regularization scheme is introduced for generating the family of predictions based on the Tikhonov parameter spectrum. The L-curve strategy is used to extract the optimal prediction. This paper studies the effectiveness of this new calibration equation for two engineering materials, stainless steel 304 and a carbon composite. Results show that properly regularized predictions are stable and accurate in the presence of significant noise. Moreover, it is demonstrated that a preferred back boundary condition strategy for calibration tests reduces the ill-conditioning effects of the kernel. This new calibration method does not require the specification of the probe locations, although knowledge of the thermophysical properties is necessary. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Engineering Mathematics Springer Journals

A new front surface heat flux calibration method for a 1-D nonlinear thermal system with a time-varying back boundary condition

Loading next page...
 
/lp/springer_journal/a-new-front-surface-heat-flux-calibration-method-for-a-1-d-nonlinear-odIk1VzUAX
Publisher
Springer Netherlands
Copyright
Copyright © 2017 by Springer Science+Business Media Dordrecht
Subject
Physics; Classical Mechanics; Applications of Mathematics; Analysis; Mathematical Modeling and Industrial Mathematics
ISSN
0022-0833
eISSN
1573-2703
D.O.I.
10.1007/s10665-016-9888-0
Publisher site
See Article on Publisher Site

References

You’re reading a free preview. Subscribe to read the entire article.


DeepDyve is your
personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

Enjoy affordable access to
over 12 million articles from more than
10,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Unlimited reading

Read as many articles as you need. Full articles with original layout, charts and figures. Read online, from anywhere.

Stay up to date

Keep up with your field with Personalized Recommendations and Follow Journals to get automatic updates.

Organize your research

It’s easy to organize your research with our built-in tools.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

Monthly Plan

  • Read unlimited articles
  • Personalized recommendations
  • No expiration
  • Print 20 pages per month
  • 20% off on PDF purchases
  • Organize your research
  • Get updates on your journals and topic searches

$49/month

Start Free Trial

14-day Free Trial

Best Deal — 39% off

Annual Plan

  • All the features of the Professional Plan, but for 39% off!
  • Billed annually
  • No expiration
  • For the normal price of 10 articles elsewhere, you get one full year of unlimited access to articles.

$588

$360/year

billed annually
Start Free Trial

14-day Free Trial