THERMAL SCIENCE

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Jordan Y. Hristov

THERMAL IMPEDANCE AT THE INTERFACE OF CONTACTING BODIES: 1-D EXAMPLES SOLVED BY SEMI-DERIVATIVES

ABSTRACT
Simple 1-D semi-infinite heat conduction problems enable to demonstrate the potential of the fractional calculus in determination of transient thermal impedances of two bodies with different initial temperatures contacting at the interface ( x = 0 ) at t = 0 . The approach is purely analytic and uses only semi-derivatives (half-time) and semi-integrals in the Riemann-Liouville sense. The example solved clearly reveals that the fractional calculus is more effective in calculation the thermal resistances than the entire domain solutions.
KEYWORDS
thermal impedance, fractional calculus, half-time fractional derivatives
PAPER SUBMITTED: 2011-11-25
PAPER REVISED: 2012-01-16
PAPER ACCEPTED: 2012-01-16
DOI REFERENCE: https://doi.org/10.2298/TSCI111125017H
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2012, VOLUME 16, ISSUE Issue 2, PAGES [625 - 629]
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Thermal impedance at the interface of contacting bodies: 1-D examples solved by semi-derivatives

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