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Jordan Y. Hristov

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
transient heat conduction, time-dependent boundary condition, integralbalance solution
PAPER SUBMITTED: 2020-10-14
PAPER REVISED: 2021-03-02
PAPER ACCEPTED: 2021-03-03
PUBLISHED ONLINE: 2021-04-10
DOI REFERENCE: https://doi.org/10.2298/TSCI201014143H
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Issue 5, PAGES [3557 - 3568]
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Semi-derivative integral method to transient heat conduction: Time-dependent (power-law) temperature boundary conditions

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