|
Title
|
Heat transfer from convecting-radiating through optimized Chebyshev polynomials with interior point algorithm
|
|
Type
|
JournalPaper
|
|
Keywords
|
Chebyshev polynomial of the rst kind; Interior point method; Temperature distribution; Fin e ciency; Heat transfer rate
|
|
Abstract
|
In this paper, the problem of determining heat transfer from convecting-radiating n of triangular and concave parabolic shapes is investigated. We consider onedimensional, steady conduction in the n and neglect radiative exchange between adjacent ns and between the n and its primary surface. A novel intelligent computational approach is developed for searching the solution. In order to achieve this aim, the governing equation is transformed into an equivalent problem whose boundary conditions are such that they are convenient to apply reformed version of Chebyshev polynomials of the rst kind. These Chebyshev polynomials based functions construct approximate series solution with unknown weights. The mathematical formulation of optimization problem consists of an unsupervised error which is minimized by tuning weights via interior point method. The trial approximate solution is validated by imposing tolerance constrained into optimization problem. Additionally, heat transfer rate and the n e ciency are reported
|
|
Researchers
|
Hamidreza Navidi (Third Researcher), Mahdi Keshtkar (Second Researcher), Elyas Shivaniana (First Researcher)
|