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Heat Transfer Research

Published 18 issues per year

ISSN Print: 1064-2285

ISSN Online: 2162-6561

The Impact Factor measures the average number of citations received in a particular year by papers published in the journal during the two preceding years. 2017 Journal Citation Reports (Clarivate Analytics, 2018) IF: 1.7 To calculate the five year Impact Factor, citations are counted in 2017 to the previous five years and divided by the source items published in the previous five years. 2017 Journal Citation Reports (Clarivate Analytics, 2018) 5-Year IF: 1.4 The Immediacy Index is the average number of times an article is cited in the year it is published. The journal Immediacy Index indicates how quickly articles in a journal are cited. Immediacy Index: 0.6 The Eigenfactor score, developed by Jevin West and Carl Bergstrom at the University of Washington, is a rating of the total importance of a scientific journal. Journals are rated according to the number of incoming citations, with citations from highly ranked journals weighted to make a larger contribution to the eigenfactor than those from poorly ranked journals. Eigenfactor: 0.00072 The Journal Citation Indicator (JCI) is a single measurement of the field-normalized citation impact of journals in the Web of Science Core Collection across disciplines. The key words here are that the metric is normalized and cross-disciplinary. JCI: 0.43 SJR: 0.318 SNIP: 0.568 CiteScore™:: 3.5 H-Index: 28

Indexed in

AN EFFICIENT ANALYTICAL SOLUTION STRATEGY FOR MULTIDIMENSIONAL HEAT CONDUCTION PROBLEMS

Volume 45, Issue 3, 2014, pp. 263-278
DOI: 10.1615/HeatTransRes.2013004549
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ABSTRACT

A wide variety of multidimensional heat conduction problems of interest involve a first-order dissipation term with either homogeneous or nonhomogeneous boundary conditions. An important class of similar problems of practical interest quite often also occurs in the mass diffusion that involves a diffusion-impeded chemical reaction inside a porous catalyst pellet. Developing an efficient analytical solution strategy for such problems is important in view of the fact that different analytical solutions of the same problem can exhibit widely different convergence behavior depending on the solution methodology. In the present study, a three-dimensional rectangular parallelepiped is taken as a case study. The governing partial differential equation with nonhomogeneous boundary conditions is solved using two different approaches. An analytical solution is first obtained using the standard commonly used decomposition approach. The application of the particular solution approach is also detailed here. The two-dimensional problem is considered first, extending the same analysis later to the three-dimensional problem. Owing to relevance to the engineering design and optimization, expressions for the efficiency or the effectiveness factor are obtained in all cases, and a comparison is carried out. The particular solution approach offers much better convergence behavior than the decomposition approach and than others reported in the literature so much so that the computing time for the same level of accuracy in some cases is found to differ by several orders of magnitude.

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