One dimensional transient heat conduction in segmented fin-like geometries with distinct discrete peripheral convection

• Published in: International journal of thermal sciences Vol. 71; pp. 148 - 162
• Main Authors: Becker, S.M., Herwig, H.
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Masson SAS 01.09.2013; Elsevier
• Subjects: Analytic; Applied sciences; Composite; Constants; Convection; Discontinuity; Energy; Energy. Thermal use of fuels; Exact sciences and technology; Fin; Fundamental areas of phenomenology (including applications); Heat conduction; Heat transfer; Mathematical analysis; Physics; Segments; Theoretical studies. Data and constants. Metering; Thermophysical properties; Transient heat conduction; Heat conduction; Fin; Composite; Analytic; Theoretical study; Boundary condition; Thermal conduction; Transients
• ISSN: 1290-0729; 1778-4166
• DOI: 10.1016/j.ijthermalsci.2013.04.004

This study presents the solution of transient heat conduction in a composite extended surface whose periphery is exposed to convection and whose thermophysical properties experience discontinuities along the longitudinal direction. The solution development uses the natural analytic approach and formats the description so that the constants of integration of each of the composite segments are expressed in terms of the previous segment's eigenfunctions. This allows the solution to be “built” in a very systematic and sequential manner. A three-segment case study is also provided to show the simplicity and applicability of the implementation of this solution.