Open AccessModeling of heat transport phenomena using the equations of mathematical physics
Author(s) -
C Nolasco Serna,
Nelson Afanador García,
Gustavo Guerrero Gómez
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2102/1/012016
Subject(s) - trigonometric functions , mathematics , function (biology) , differential equation , mathematical model , trigonometry , field (mathematics) , partial differential equation , series (stratigraphy) , transport phenomena , computer science , calculus (dental) , physics , mathematical analysis , mechanics , statistics , geometry , dentistry , evolutionary biology , pure mathematics , biology , medicine , paleontology
The study of physical phenomena that include conservative principles is part of the research field of the equations of mathematical physics. To deepen in methods to solve the equations of mathematical physics is a contribution in understanding the modeling of applications in different areas. This research studies the physical phenomenon of heat transport with convection from the viewpoint of modeling with differential equations. The advantage of working with equations is to apply the techniques of mathematical analysis and numerical methods to obtain the temperature function. In the research, the solution of the heat transport model is computed according to the analytical method of separable variables in order to represent the temperature function as a trigonometric series. With the help of a simple numerical method, it is possible to derive a scheme of calculation of the temperature function. By performing a case study, the methods are compared, and their fit is verified by simulation.