## THERMAL SCIENCE

International Scientific Journal

### SEMI-DERIVATIVE INTEGRAL METHOD TO TRANSIENT HEAT CONDUCTION: TIME-DEPENDENT (POWER-LAW) TEMPERATURE BOUNDARY CONDITIONS

**ABSTRACT**

Transient heat conduction in semi-infinite medium with a power-law time-dependent boundary conditions has been solved by an integral-balance integral method applying to a semi-derivative approach. Two versions of the integral-balance method have been applied: Goodman’s method with a generalized parabolic profile and Zien’s method with exponential (original and modified) profile.

**KEYWORDS**

PAPER SUBMITTED: 2020-10-14

PAPER REVISED: 2021-03-02

PAPER ACCEPTED: 2021-03-03

PUBLISHED ONLINE: 2021-04-10

**THERMAL SCIENCE** YEAR

**2021**, VOLUME

**25**, ISSUE

**Issue 5**, PAGES [3557 - 3568]

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