Turkish Journal of Mathematics
Author ORCID Identifier
HÜSEYİN DEMİR: 0000-0003-3606-878X
İNCİ ÇİLİNGİR SÜNGÜ: 0000-0001-7788-181X
İBRAHİM KELEŞ: 0000-0001-8252-2635
Abstract
The present study assumes that the material properties of the fin vary by a force rule in the axial direction, with the exception of the thermal relaxation coefficient, which is assumed to be constant. The temperature distribution in the longitudinal fin with homogeneous cross-section exposed to the laser heat source is numerically investigated. This is because these constraints lead to a linear differential equation with partial solutions that can't be analytically resolved using conventional methods, except for a few elementary order functions. Consequently, a linear or non-linear system of equations as a function of time is obtained by transforming a differential equation attained with one or more independent factors using the highly efficient, potent and practical semi-analytical method known as the Chebyshev Pseudospectral Method. Temperature distributions in the fin are then examined in terms of different homogeneity factors and time-varying heat source capacity. Furthermore, the numerical solutions' convergence is emphasised, and the results are confirmed using homogenous solutions from the literature.
DOI
10.55730/1300-0098.3551
Keywords
Transient heat transfer, functionally graded materials, laser heat source, Chebyshev pseudospectral method
First Page
941
Last Page
954
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
DEMİR, HÜSEYİN; ÇİLİNGİR SÜNGÜ, İNCİ; and KELEŞ, İBRAHİM
(2024)
"Comprehensive computational study on transient heat transfer in functionally graded longitudinal fins under time-varying laser heating,"
Turkish Journal of Mathematics: Vol. 48:
No.
5, Article 10.
https://doi.org/10.55730/1300-0098.3551
Available at:
https://journals.tubitak.gov.tr/math/vol48/iss5/10
