A study of heat conduction in structural ceramic materials. Part III. Mathematical model of measuring cell

A study of heat conduction in structural ceramic materials. Part III. Mathematical model of... The process of heat propagation in a specimen is considered in an approximation of a one-dimensional heat flow with side leakages of heat. They are modelled as a function of the heat sources (sinks). The chosen stationary heating and the temperature field in the specimen are described by a nonlinear one-dimensional differential equation. The boundary conditions and the source function are determined from experimental data. The nonlinear one-dimensional differential equation is used in an implicit identification method and solved numerically; a minimum of the quality criterion is determined at each iteration step in the search procedure. The identification procedure is performed by explicit and implicit methods of solution of inverse problems of heat conduction. A numerical simulation has shown that the method of component-wise minimization is the most efficient. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Refractories and Industrial Ceramics Springer Journals

A study of heat conduction in structural ceramic materials. Part III. Mathematical model of measuring cell

Loading next page...
 
/lp/springer_journal/a-study-of-heat-conduction-in-structural-ceramic-materials-part-iii-kzxep49dMG
Publisher
Springer US
Copyright
Copyright © 2000 by Kluwer Academic/Plenum Publishers
Subject
Chemistry; Characterization and Evaluation of Materials; Materials Science; Ceramics, Glass, Composites, Natural Methods
ISSN
1083-4877
eISSN
1573-9139
D.O.I.
10.1007/BF02693773
Publisher site
See Article on Publisher Site

Abstract

The process of heat propagation in a specimen is considered in an approximation of a one-dimensional heat flow with side leakages of heat. They are modelled as a function of the heat sources (sinks). The chosen stationary heating and the temperature field in the specimen are described by a nonlinear one-dimensional differential equation. The boundary conditions and the source function are determined from experimental data. The nonlinear one-dimensional differential equation is used in an implicit identification method and solved numerically; a minimum of the quality criterion is determined at each iteration step in the search procedure. The identification procedure is performed by explicit and implicit methods of solution of inverse problems of heat conduction. A numerical simulation has shown that the method of component-wise minimization is the most efficient.

Journal

Refractories and Industrial CeramicsSpringer Journals

Published: Aug 26, 2007

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

DeepDyve Freelancer

DeepDyve Pro

Price
FREE
$49/month

$360/year
Save searches from
Google Scholar,
PubMed
Create lists to
organize your research
Export lists, citations
Read DeepDyve articles
Abstract access only
Unlimited access to over
18 million full-text articles
Print
20 pages/month
PDF Discount
20% off