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## Application of mathematical models for description experimental data of nanoparticles filtration in fibrous filters

#### Abstract

The thesis concerns nanoaerosol filtration in fibrous filters which mathematical description is complex especially due to complicated geometrical structure of filters, mechanisms of particles deposition and unsteady-state character of analyzed process. The main aim of the thesis was the analysis of existing mathematical models describing a filtration of microparticles in fibrous filters in case of using them to describe nanoparticles filtration. Two models were analyzed: the model of axial dispersion and the Partially Segregated Flow Model and compared to classical filtration theory. The thesis consists of two parts. The matter of the first part is a theoretical aspect of the topic – information about nanoparticles, nanoaerosols, fibrous filters and filtration process is presented as well as classical filtration theory and two mentioned above mathematical models. The handled experiments are described in the second part of the thesis - the test bench scheme and characteristics of filter and nanoparticles are given. During the experiment one polypropylene fibrous filter was tested in configuration of from eight to one layer, two types of nanoparticles of different diameters (22 – 341 nm) were used: liquid DEHS and solid KCl. Two aerosol velocities were applied: (0,15 m/s and 0,20 m/s). Additionally in this part, the results of experimental studies and a discussion with regard to them are presented. Efficiencies of filter for different nanoparticles diameters and number of layers are compared. The model of axial dispersion is adapted for description of nanoparticles filtration by estimation of model’s parameters: axial dispersion coefficient D_x and filter coefficient λ. The relationship between dimensionless dispersion coefficient and Peclet number was determined. Partially Segregated Flow Model was verified by determining the relationship between segregation intensity parameter and particles diameter and comparing the results with experimental data. At the end an attempt of describing the data with modified classical theory of filtration is made. The experimental studies and their mathematical description showed that classical theory fails to describe nanoparticles filtration in fibrous filters, while the results of use of model of axial dispersion and the Partially Segregated Flow Model precisely fit the data.
Diploma type
Engineer's / Bachelor of Science
Diploma type
Engineer's thesis
Author
Adam Mirek (FCPE) Adam Mirek,, Faculty of Chemical and Process Engineering (FCPE)
Title in Polish
Zastosowanie modeli matematycznych do opisu danych doświadczalnych filtracji nanocząstek w filtrach włókninowych
Supervisor
Anna Izabella Jackiewicz (FCPE/CIPE) Anna Izabella Jackiewicz,, Chair of Integrated Process Engineering (FCPE/CIPE)Faculty of Chemical and Process Engineering (FCPE)
Certifying unit
Faculty of Chemical and Process Engineering (FCPE)
Affiliation unit
Chair of Integrated Process Engineering (FCPE/CIPE)
Study subject / specialization
, Inżynieria Chemiczna i Procesowa
Language
(pl) Polish
Status
Finished
Defense Date
08-02-2016
Issue date (year)
2016
Pages
68
Internal identifier
DICHP-2509
Reviewers
Agata Maria Bąk (FCPE/DCRED) Agata Maria Bąk,, Department of Chemical Reactor Engineering and Dynamics (FCPE/DCRED)Faculty of Chemical and Process Engineering (FCPE) Anna Izabella Jackiewicz (FCPE/CIPE) Anna Izabella Jackiewicz,, Chair of Integrated Process Engineering (FCPE/CIPE)Faculty of Chemical and Process Engineering (FCPE)
Keywords in Polish
filtracja, nanocząstki, nanoaerozole, filtry włókninowe, model dyspersyjny, model przepływu częściowo segregowanego, PSFM
Keywords in English
filtration, nanoparticles, nanoaerosols, fibrous filters, dispersion model, partially segregated flow model
Abstract in Polish
File
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urn:pw-repo:WUT74b6fe1f095540ad9ce74625302f72c3