20.500.12556/RUL-174115 Matematični model peke mesa magistrsko delo Mathematical model for cooking meat Matematično modeliranje transportnih pojavov v procesih priprave hrane je ključno za razumevanje njihove dinamike. V tem delu preučujemo proces dvostranske peke mesa z razvojem matematičnega modela za sočasen prenos toplote in mase. Konstitutivne enačbe za prenos toplote in mase temeljijo na Fourierjevem prevajanju in Flory-Hugginsovi teoriji, formulirani za dvofazni transport v poroznem mediju. Preučujemo enodimenzionalni primer za preverjanje modela z uporabo ustreznih robnih pogojev. Rezultate simulacije primerjamo z eksperimentalnimi ugotovitvami, poročanimi v literaturi. Nazadnje primerjamo različne metode reševanja modela in obravnavamo občutljivost modela na različne parametre. Mathematical modeling of transport phenomena in food preparation processes is essential for understanding their dynamics. In this work, we investigate the process of double-sided meat cooking by developing a mathematical model for simultaneous heat and mass transfer. The constitutive equations for heat and mass transfer are based on Fourier’s law of conduction and the Flory-Huggins theory, formulated for two-phase transport in a porous medium. We examine a one-dimensional case to validate the model using appropriate boundary conditions. The simulation results are compared with experimental findings reported in the literature. Finally, we compare different numerical methods for solving the model and analyze the model’s sensitivity to various parameters. Numerično reševanje parcialnih diferencialnih enačb numerično reševanje navadnih diferencialnih enačb matematično modeliranje termodinamika Numerical solution of partial differential equations numerical solution of ordinary differential equations mathematical modeling thermodynamics true false false Slovenski jezik Angleški jezik Magistrsko delo/naloga 2025-09-27 08:15:14 2025-09-27 08:15:17 2025-11-18 03:50:18 0000-00-00 00:00:00 2025 0 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 519.6 154854 251060995 19026.pdf 19026.pdf 1 39F45CB56A89F43BF99B71D792CF4CA6 bef7ceb8967aba2788c0b7f4fe0ad430882748a063d051e23b90e25fe9daf6cf 250a073c-9b69-11f0-9328-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=218873 Fakulteta za matematiko in fiziko 0 0 0