Open AccessInterpolated spline method for a thermal distribution of a pipe with a turbulent heat flow
Author(s) -
Hazim Nasir Ghafil,
Ali Habeeb Askar,
Kâroly Jármai,
Endre Kovács
Publication year - 2021
Publication title -
multidiszciplináris tudományok
Language(s) - English
Resource type - Journals
eISSN - 2786-1465
pISSN - 2062-9737
DOI - 10.35925/j.multi.2021.5.39
Subject(s) - spline interpolation , spline (mechanical) , interpolation (computer graphics) , monotone cubic interpolation , heat flux , smoothing spline , thin plate spline , mathematics , turbulence , hermite spline , mathematical optimization , linear interpolation , work (physics) , heat transfer , mathematical analysis , mechanics , computer science , bicubic interpolation , bilinear interpolation , statistics , engineering , physics , mechanical engineering , polynomial , animation , computer graphics (images)
This work presents an interpolated spline method to mathematically represent experimental data of a thermal distribution on a tube with heat flux. Linear regression was compared with the double linear interpolation process with an optimization algorithm and cubic spline curve method with the proposed problem. The results show that the interpolated experimental data can highly improve the efficiency of the cubic spline curves and lead to a smooth empirical equation for the experiments. The optimization algorithm chooses the interpolated points in a way that provides more minor errors.