Modelling of mass transport in watercourses considering mass transfer between phases in unsteady states. Part I. Mass transfer process for periodic and aperiodic changes of concentration

• Autorzy: Bielski A.
• Języki publikacji: EN

Abstrakty

EN

A model most often used for the description of the processes of mass transport through phase boundaries is the model of Whitman. Results of calculations obtained using this model may occasionally considerably differ from the results obtained using diffusion models. Thus an attempt has been made to correct the model proposed by Whitman. The dynamics of the processes of mass transport from a liquid phase (river water) to a solid phase (layer of material in the river bottom) has been analysed. Several equations have been derived describing the rate of absorption with a chemical reaction and periodical changes of the concentration of the analysed substance. An attempt has been made to determine the relation between the concentration gradient and concentration at the phase boundary. In dynamic conditions, the concentration gradient at the phase boundary can be approximated by means of time dependence of a linear combination of concentration, delayed concentration, and concentration derivative at the phase boundary. Analysis of the dynamics of the absorption process with the chemical reaction enabled one to derive an equation describing the stream of the substance penetrating to the inside of the solid phase. Such equations may be used to determine the error generated by the film model of Whitman for the process of mass penetration.

Słowa kluczowe

EN

absorption; diffusion model; liquid phase; mass transfer; river waters; solid phase; unsteady state; phase boundaries; rivers; watercourses; concentration

PL

ciek wodny; absorpcja; model dyfuzji; faza ciekła; transfer masy; stan nieustalony; faza stała; granice fazowe; rzeki; stężenie; modelowanie

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Environment Protection Engineering
• Rocznik: 2011
• Tom: Vol. 37, nr 2
• Strony: 35--51
• Opis fizyczny: Bibliogr.11 poz., rys.

Twórcy

autor

Bielski A.

• Cracow University of Technology, Department of Environmental Engineering, Warszawska 24, 31-155 Cracow, Poland,

Bibliografia

• [1]. Bielski, A., Selected aspects of mass transfer rate determination between phases in the watercourse. Part I. Analysis of the influence of periodical concentration changes on mass transport through phase boundary (2006) Techn. Bull., 2., Cracow University of Technology;
• [2]. Bielski, A., Selected aspects of mass transfer rate determination between phases in the watercourse. Part II. Analysis of the influence of aperiodical concentration changes on mass transport through phase boundary (2006) Techn. Bull., 2., Cracow University of Technology;
• [3]. Dali-Youcef, N., Ouddane, B., Derriche, Z., Hazardous, J., (2006) Mater. A, 137, p. 1263;
• [4]. Jimenez-Cedillo, M.J., Olguin, M.T., Fall, C., Hazardous, J., (2009) Mater., 163, p. 939;
• [5]. Kembłowski, Z., Michałowski, S., Strumiłło, C., Zarzycki, R., (1985) Theoretical basis of chemical and process engineering, , WNT, Warsaw, Polish;
• [6]. Kula, I., Ugurlu, M., Karaoglu, H., Celik, A., (2008) Biores. Techn., 99, p. 492;
• [7]. Luyben, W.L., (1973) Process modeling, simulation, and control for chemical engineers, , McGraw-Hill, New York;
• [8]. Management of Health and Environmental Hazards, , http://www2.cyf.gov.pl, http://www2.cyf.gov.pl/przewodnik;
• [9]. Zhang, M.H., Zhao, Q.L., Zheng, X.B., Ye, F., (2010) Coll. Surf. A, Physicochem. Eng. Aspects, 362, p. 140;
• [10]. Pohorecki, R., Wroński, S., (1977) Kinetics and Thermodynamics of Chemical Process Engineering, , WNT, Warsaw, (in Polish);
• [11]. Szarawara, J., Skrzypek, J., (1980) Basics of chemical reactor engineering, , (in Polish) WNT, Warsaw