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Conjugated heat transfer from a uniformly heated plate and a plate fin with uniform base heat flux

Research output: Contribution to journalArticleScientificpeer-review


Original languageEnglish
Pages (from-to)89-95
Number of pages7
JournalInternational Journal of Heat and Mass Transfer
Early online date19 Nov 2016
Publication statusPublished - Apr 2017
Publication typeA1 Journal article-refereed


Abstract The relationship between maximum temperature and heating rate is determined for an internally heated flat plate, which is cooled on both sides by either forced or natural convection. Convection heat transfer is calculated using the energy integral boundary layer equations instead of solving governing partial differential equations numerically. The results are presented in simple analytical correlations. Solutions to a heated plate were used in the study of a plate fin with a uniform heat flux at the base in cases of forced and natural convection. New simple analytical equations for the maximum fin temperature were derived using the result on the heated plate. Solutions to a fin with uniform base heat flux include also those to a uniform fin base temperature as limiting cases. The validity of the simple new solutions to an internally heated plate and a fin with a uniform heat flux at the base were verified by comparing results to numerically obtained conjugated heat transfer solutions, analytical solutions, and to some experimental data for a heated plate.


  • Conjugate heat transfer, Flat plate, Plate fin, Forced convection, Natural convection, Analytical solution

Publication forum classification

Field of science, Statistics Finland