title: Mathematical modeling of biofiltration in activated pine-bark charge of a biofilter.
abstract: AIM, SCOPE AND BACKGROUND: Human economic activities cause emissions of various pollutants of an organic nature: butanol, butyl acetate, methanol, formaldehyde, phenol, benzene, toluene, xylene, etc. These compounds are emitted to atmosphere by various enterprises of food, chemistry, wood processing industries, from transportation means, agricultural enterprises, etc. Therefore, when purifying air from these pollutants, it is necessary to apply efficient and inexpensive air purification methods. In this dimension, the biological air purification is chosen from all possible air cleaning methods. An experimental biofilter with the activated charge of pine bark was developed at the Department of Environment Protection of the Vilnius Gediminas Technical University. In the course of the experimental investigation, it was determined that this air purification method is efficient. Filter efficiency, when purifying air of volatile organic compounds (butanol, butyl acetate and xylene), to a great extent, depending on the nature and concentrations (up to 100 mg/m3) of pollutants injected, might go up to 70-98%. The mathematical model of the biofilter was developed based on the research results and fully taking into consideration physical, chemical, and biological processes going on during its operations.
  
  
  METHODS
  The aim of this article is to determine biodegradation constant alpha, absorption capacity beta, and half empiric expressions of filter efficiency. Knowing this, it is possible to find out the dependence of the filter efficiency on the operational parameters of the filter (i.e. on the concentrations and the height of biocharge of the initial pollutants (butanol, butyl acetate, xylene) fed through it).
  
  
  CONCLUSIONS
  With the help of mathematical modeling, the biodegradation constants and absorption capability of volatile organic compounds (butanol, butyl acetate, and xylene) fed into the biofilter charged with the activated pine bark and used for the cleaning of volatile organic compounds, as well as the efficiency of the biofilter in half empiric expression, have been established. It has been discovered that the constant of pollutant biodegradation alpha is a value inverse to the time during which the amount of pollutants in the filter becomes n times higher. It is rather complicated to carry out theoretical calculation of the biodegradation constant at a molecular level, therefore this constant has been established based on the results obtained in the course of research. The equations describing pollutant dynamics in the filter charge and the air cleaning processes going on in it have been derived from diffusion equations in a mobile medium. The modeling helped to find out the absorption capacity beta of the examined pollutants, which by its numeric value is equal to the volume unit of the absorbed gas amount. The latter factor, the same as the biodegradation constant, was determined basing on the experimental results. Mathematical modeling brought a range of formulas expressing dependences of each pollutant's efficiency on its initial concentrations and filter charge height.
  Based on the experimental data, a mathematical model has been developed which will allow the measuring of the filter efficiency not only with regard to the absorption and biodegradation of the pollutants under examination, but also with regard to other pollutants and their compounds, etc., having an impact on the filter performance. The results of the mathematical modeling have revealed that the modeling of processes going on in the filter is much simpler than isthe performance of long and costly experiments. The developed mathematical model makes it possible to measure the filter efficiency at the present moment.
authors.affiliation: Environment Protection Department, Environmental Engineering Faculty, Vilnius Gediminas Technical University, Sauletekio al. 11, 2-211, 10223 Vilnius-40, Lithuania. rasava@ap.vtu.lt
authors.forename: Rasa
authors.initials: R
authors.lastname: Vaiskunaite
authors.forename: Pranas
authors.initials: P
authors.lastname: Baltrenas
authors.forename: Valdas
authors.initials: V
authors.lastname: Spakauskas
mesh_terms: D000393:Air Pollutants / Q000302:isolation & purification*; D000397:Air Pollution / Q000517:prevention & control*; D000438:Alcohols / Q000302:isolation & purification*; D001673:Biodegradation, Environmental; D005374:Filtration; D006838:Hydrocarbons / Q000302:isolation & purification*; D008962:Models, Theoretical; D014835:Volatilization
chemical_list: D000393:Air Pollutants; D000438:Alcohols; D006838:Hydrocarbons