## THERMAL SCIENCE

International Scientific Journal

### 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**

PAPER SUBMITTED: 2011-11-25

PAPER REVISED: 2012-01-16

PAPER ACCEPTED: 2012-01-16

**THERMAL SCIENCE** YEAR

**2012**, VOLUME

**16**, ISSUE

**2**, PAGES [625 - 629]

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