THERMAL SCIENCE

International Scientific Journal

Tongqiang Xia

,

Shengping Yan

,

Xin Liang

,

Pengjun Zhang

,

Chun Liu

AN INTEGRAL TRANSFORM APPLIED TO SOLVE THE STEADY HEAT TRANSFER PROBLEM IN THE HALF-PLANE

ABSTRACT
An integral transform operator U[П(t)= 1/λ ∞∫−∞ П(t)е-iλt dt is considered to solve the steady heat transfer problem in this paper. The analytic technique is illustrated to be applicable in the solution of a 1-D Laplace equation in the half-plane. The results are interesting as well as potentially useful in the linear heat transfer problems.
KEYWORDS
heat transfer, Laplace equation, analytic solution, integral transform
PAPER SUBMITTED: 2017-03-10
PAPER REVISED: 2017-05-01
PAPER ACCEPTED: 2017-06-27
PUBLISHED ONLINE: 2017-12-02
DOI REFERENCE: https://doi.org/10.2298/TSCI17S1105X
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2017, VOLUME 21, ISSUE Supplement, PAGES [105 - 111]
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An integral transform applied to solve the steady heat transfer problem in the half-plane

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