Jalghaf, H.K.; Kovács, E.; Barna, I.F.; Mátyás, L. Analytical Solution and Numerical Simulation of Heat Transfer in Cylindrical- and Spherical-Shaped Bodies. Computation2023, 11, 131.
Jalghaf, H.K.; Kovács, E.; Barna, I.F.; Mátyás, L. Analytical Solution and Numerical Simulation of Heat Transfer in Cylindrical- and Spherical-Shaped Bodies. Computation 2023, 11, 131.
Jalghaf, H.K.; Kovács, E.; Barna, I.F.; Mátyás, L. Analytical Solution and Numerical Simulation of Heat Transfer in Cylindrical- and Spherical-Shaped Bodies. Computation2023, 11, 131.
Jalghaf, H.K.; Kovács, E.; Barna, I.F.; Mátyás, L. Analytical Solution and Numerical Simulation of Heat Transfer in Cylindrical- and Spherical-Shaped Bodies. Computation 2023, 11, 131.
Abstract
New analytical solutions of the heat conduction equation are presented in cylindrical and spherical coordinates. Then these solutions are reproduced with high accuracy by recent explicit and unconditionally stable finite difference methods. After this, real experimental data from the literature regarding a heated cylinder are reproduced by the explicit numerical methods as well as by Finite Element Methods (FEM) ANSYS workbench. Convection and nonlinear radiation are also considered on the boundary of the cylinder, and it is shown that the explicit methods are much more accurate than the commercial software.
Computer Science and Mathematics, Computational Mathematics
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