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 alculus in determination of transient thermal impedances of two bodies with different initial emperatures contacting at the interface ( x = 0 ) at t = 0 . The approach is purely analytic and uses only emi-derivatives (half-time) and semi-integrals in the Riemann-Liouville sense. The example solved learly reveals that the fractional calculus is more effective in calculation the thermal resistances than the ntire domain solutions.

Keywords

Dates

  • Submission Date2011-11-25
  • Revision Date2012-01-16
  • Acceptance Date2012-01-16

DOI Reference

10.2298/TSCI111125017H

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