A lattice-Fokker-Planck model of thermal noise in liquids
department or school: Applied Science, Faculty of
department or school: Engineering, School of (Okanagan)
data provider: DSpace
degree campus: UBCO
creator: Petersen, Kasper Juel
issued: 2024-08-21T21:13:46Z
issued: 2024
related degree: Doctor of Philosophy - PhD
degree grantor: University of British Columbia
description: Boiling and cavitation—the phenomena which describe thermally- and pressure-driven, first-order phase transitions of liquids to their gaseous states—are central to many industrial, natural, and medical flows. By example, “rapid phase transitions” can cause vapour explosions in paper and metal processing, nuclear reactors, and cryogenics technologies when superheated volatile liquids become perturbed out of their equilibrium condensed state. In particular, phase-transitions are (i.) metastable, instigated by (ii.) thermal fluctuations, and are (iii.) multiscale, (iv.) heterogeneous processes; vapour bubbles O(< 10−⁶ m) form preferentially at microscopic nucleation sites, and are fully grown on the macroscale O(10−² m). From two literature reviews of phase-change modelling and simulation, it was found that (i.–iv.) are rarely considered in engineering numerical simulations except for (i.,ii.) in fluctuating hydrodynamics theories solved with the finite-volume method. Rather, the physics are frequently modelled by empirical models, leaving little opportunity for peering into realistic phase change dynamics. The fluctuating lattice-Boltzmann method (FLBM) has become a popular choice for studying thermal fluctuations. However, similar to fluctuating hydrodynamics, the FLBM relies on sampling techniques of probability distributions for imposing thermal noise in to the simulation variables. In an alternative effort, this research revolves around modelling thermal fluctuations by the Fokker-Planck equation (FPE) where LBM-techniques are repurposed to solve the FPE on the lattice. To introduce metastability and accommodate a high level of thermo-hydrodynamic nonideality into the model, its kinetics are recast with Particles-on-Demand—a recently proposed semi-Lagrangian realization of the LBM. The primary contribution is the mathematical derivation of the resulting latticeFokker-Planck-Boltzmann model. Asymptotic analysis shows that the limit of the model is the stochastic Na…
aggregated CHO: https://circle.library.ubc.ca/rest/handle/2429/88994
note: A lattice-Fokker-Planck model of thermal noise inliquidsbyKasper Juel PetersenB.Sc. Energy Engineering, Aalborg University, 2016M.Sc. Thermal Energy and Process Engineering, Aalborg University, 2018A THESIS SUBMITTED IN PARTIAL FULFILLMENT OFTHE REQUIREMENTS FOR THE DEGREE OFDOCTOR OF PHILOSOPHYinTHE COLLEGE OF GRADUATE STUDIES(Mechanical Engineering)THE UNIVERSITY OF BRITISH COLUMBIA(Okanagan)August 2024© Kasper Juel Petersen, 2024The following individuals certify that they have read, and recommend to the Collegeof Graduate Studies for acceptance, a thesis/dissertation entitled:A lattice-Fokker-Planckmodel of thermal noise in liq-uidssubmitted by Kasper Juel Petersen in partial fulfillment of the requirements of thedegree of Doctor of PhilosophyProf. Joshua Brinkerhoff, School of Engineering, UBCOSupervisorProf. Sina Kheirkhah, School of Engineering, UBCOSupervisory Committee MemberProf. Sunny Li, School of Engineering, UBCOSupervisory Committee MemberProf. Anthony Wachs, Department of Mathematics, UBC VancouverUniversity ExaminerProf. Alexander Wagner, Department of Physics, North Dakota State UniversityExternal ExamineriiAbstractBoiling and cavitation—the phenomena which describe thermally- and pressure-driven,first-order phase transitions of liquids to their gaseous states—are central to many indus-trial, natural, and medical flows. By example, “rapid phase transitions” can cause vapourexplosions in paper and metal processing, nuclear reactors, and cryogenics technologieswhen superheated volatile liquids become perturbed out of their equilibrium condensedstate. In particular, phase-transitions are (i.) metastable, instigated by (ii.) thermalfluctuations, and are (iii.) multiscale, (iv.) heterogeneous processes; vapour bubblesO(< 10−6 m) form preferentially at microscopic nucleation sites, and are fully grown onthe macroscale O(10−2 m).From two literature reviews of phase-change modelling and simulation, it was foundthat (i.–iv.) are rarely considered in engineer…
has type: Thesis/Dissertation
date issued: 2024-11
is shown at: 10.14288/1.0445108
language: eng
degree discipline: Mechanical Engineering
provider: Vancouver : University of British Columbia Library
publisher: University of British Columbia
rights: Attribution-NonCommercial-NoDerivatives 4.0 International
rights URI: http://creativecommons.org/licenses/by-nc-nd/4.0/
scholar level: Graduate
contributor: Brinkerhoff, Joshua
type: Text
identifier URI: http://hdl.handle.net/2429/88994