Analytical solution of time-dependent multilayer heat conduction problems for nuclear applications

Suneet Singh, Prashant K. Jain, Rizwan-uddin

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Analytical solutions for one-dimensional time dependent multilayer heat conduction problems were developed several decades ago. Mathematical theory for such problems in more than one dimensions was also developed during that time. Several of these methods were based on separation of variable and finite integral transform. However, the application of these methods was hindered by the fact that the eigenvalue problems, which are essential for this methodology are difficult to solve. Moreover, in two and three dimensional Cartesian coordinates these eigenvalues were imaginary rendering their solutions even more difficult. It has been recently shown that similar problems in two dimensional cylindrical and spherical coordinates do not have imaginary eigenvalues. It is also helpful that the softwares which are capable of analytical manipulations are now ubiquitous. This paper discusses the methodology as well as possible application in nuclear reactors of analytical solutions of two-dimensional multilayer heat conduction in spherical and cylindrical coordinates.

Original languageEnglish (US)
Title of host publication2010 1st International Nuclear and Renewable Energy Conference, INREC'10
DOIs
StatePublished - 2010
Event2010 1st International Nuclear and Renewable Energy 2010 1st International Nuclear and Renewable Energy Conference, INREC'10 - Amman, Jordan

Other

Other2010 1st International Nuclear and Renewable Energy 2010 1st International Nuclear and Renewable Energy Conference, INREC'10
CountryJordan
CityAmman
Period3/21/103/24/10

Fingerprint

Heat conduction
Multilayers
Nuclear reactors

ASJC Scopus subject areas

  • Nuclear Energy and Engineering
  • Renewable Energy, Sustainability and the Environment

Cite this

Singh, S., Jain, P. K., & Rizwan-uddin (2010). Analytical solution of time-dependent multilayer heat conduction problems for nuclear applications. In 2010 1st International Nuclear and Renewable Energy Conference, INREC'10 [5462601] DOI: 10.1109/INREC.2010.5462601

Analytical solution of time-dependent multilayer heat conduction problems for nuclear applications. / Singh, Suneet; Jain, Prashant K.; Rizwan-uddin.

2010 1st International Nuclear and Renewable Energy Conference, INREC'10. 2010. 5462601.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Singh, S, Jain, PK & Rizwan-uddin 2010, Analytical solution of time-dependent multilayer heat conduction problems for nuclear applications. in 2010 1st International Nuclear and Renewable Energy Conference, INREC'10., 5462601, 2010 1st International Nuclear and Renewable Energy 2010 1st International Nuclear and Renewable Energy Conference, INREC'10, Amman, Jordan, 21-24 March. DOI: 10.1109/INREC.2010.5462601
Singh S, Jain PK, Rizwan-uddin. Analytical solution of time-dependent multilayer heat conduction problems for nuclear applications. In 2010 1st International Nuclear and Renewable Energy Conference, INREC'10. 2010. 5462601. Available from, DOI: 10.1109/INREC.2010.5462601

Singh, Suneet; Jain, Prashant K.; Rizwan-uddin / Analytical solution of time-dependent multilayer heat conduction problems for nuclear applications.

2010 1st International Nuclear and Renewable Energy Conference, INREC'10. 2010. 5462601.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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