Večnivojsko modeliranje v kemijskem inženirstvu

diplomsko delo

Izak Kreuh (Author), Igor Plazl (Mentor)

Abstract

Vse bolj pogosto se za razumevanje naše okolice uporabljajo matematični modeli. Za opis hidrodinamskih pojavov na makroskopski ravni uporabljamo Navier-Stokesove enačbe ter energijske bilance, ki temeljijo na ohranitvi mase in gibalne količine. Ko obravnavamo mikroskopsko raven, uporabljamo za opis gibanja delcev metodo molekulske dinamike ter za razne fizikalne pojave in termodinamska ravnotežja Monte Carlo metodo. Metoda, ki pa se vse bolj pogosto uporablja za opis raznih fizikalno-kemijskih pojavov na mezoskopskem nivoju, je mrežna Boltzmannova metoda. Prav to metodo smo uporabili v tej diplomski nalogi za modeliranje dveh hidrodinamskih pojavov: tok pod vplivom gravitacije in votlina z vsiljenim tokom. Na podlagi naših modelov smo ugotovili, da je za doseg rezultatov, ki so na voljo v literaturi, potrebno imeti dovolj časovnih korakov. To še posebej velja za votlino z vsiljenim tokom, ki potrebuje več časa, da doseže stacionarno stanje.

Keywords

modeliranje;makroskopska raven;mikroskopska raven;mrežna Boltzmannova metoda;tok pod vplivom gravitacije;votlina z vsiljenim tokom;diplomska dela;

Data

Language:	Slovenian
Year of publishing:	2022
Typology:	2.11 - Undergraduate Thesis
Organization:	UL FKKT - Faculty of Chemistry and Chemical Technology
Publisher:	[I. Kreuh]
UDC:	66.02(043.2)
COBISS:	126416899
Views:	48
Downloads:	14
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary title:	Multiscale modeling in chemical engineering
Secondary abstract:	Mathematical models are being used more and more for understanding our environment. The Navier-Stokes equations and thermodynamical energy balances are used for describing hydrodynamical phenomena on a macroscopic scale. They are based on the principle of mass and momentum conservation. For describing the microscopic scale, we use methods such as molecular dynamics, which is used for describing the motion of particles and the Monte Carlo method, which is used for describing different physical phenomena and thermodynamic equilibria. A method is being used more and more for describing different physical and chemical phenomena on a mesoscopic scale is the lattice Boltzmann method. This is the method we used in this thesis to model two hydrodynamic phenomena: gravity flow and lid-driven cavity flow. Based on our models, we discovered that in order to approximate the results available in different literature, it is necessary to have enough time steps in the simulation. This is especially true for the lid-driven cavity flow, which needs more time to reach an equilibrium state.
Secondary keywords:	macroscopic scale;microscopic scale;lattice Boltzmann method;gravity flow;lid-driven cavity flow;Kemijsko inženirstvo;Univerzitetna in visokošolska dela;
Type (COBISS):	Bachelor thesis/paper
Study programme:	1000372
Embargo end date (OpenAIRE):	1970-01-01
Thesis comment:	Univ. v Ljubljani, Fak. za kemijo in kemijsko tehnologijo, UNI Kemijsko inženirstvo
Pages:	50 str.
ID:	16372711