Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
In terms of quality particularly difficult to describe are processes of mass exchange between different phases (e.g., atmospheric air-water, water-river sediment, water-algae, etc.). Whitman's model is most often used to describe the mass transport processes through the phase boundary. Theoretical analysis of the mass transfer process through the phase boundary showed that in unsteady states, the calculation results obtained from Whitman's model differ from the results obtained using the accurate diffusion model. These differences are due to the fact that concentration profiles in the direction of diffusion process change in time. Assumptions for Whitman's model do not include changes in the concentration distribution over time. Therefore, the correction factor was introduced to Whitman's model. The correction factor is defined as a parameter that multiplies a concentration derivative over time in the mass transport model. The correction factor can be used to estimate the effective diffusion coefficient of the substance that permeates from the aqueous phase to the sediment. The correction factor improves the degree of fit of the mass transport model to the measurement data. It can be used to estimate the effective turbulent diffusion coefficient from water phase to the sediment phase.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
159--173
Opis fizyczny
Bibliogr. 32 poz., tab., rys.
Twórcy
autor
- Cracow University of Technology, Department of Environmental Engineering, ul. Warszawska 24, 31-155 Cracow, Poland
Bibliografia
- [1] KEMBŁOWSKI Z., MICHAŁOWSKI ST., STRUMIŁŁO C.,ZARZYCKI R., Theoretical Basis for Chemical and Process Engineering, WNT, Warsaw, 1985 (in Polish).
- [2] SZARAWARA J., SKRZYPEK J., Basics for Chemical Reactors Engineering, WNT, Warsaw, 1980 (in Polish).
- [3] POHORECKI R., WROŃSKI ST., Kinetics and Thermodynamics of Chemical Process Engineering, WNT, Warsaw, 1977 (in Polish).
- [4] COULSON J.M., RICHARDSON J.F., BACKHURST J.R., HARKER, J.H., Chemical Engineering, Vol. 1. Fluid Flow, Heat Transfer and Mass Transfer, 6th Ed., Elsevier, 1999.
- [5] CEVZA MELEK KAZEZYLMAZ-ALHAN, J. Hydrol., 2008 (348), 524–534.
- [6] BENCALA K.E.,WALTERS R.A., Water Resour. Res., 1983, 19 (3), 718–724.
- [7] CHEONG T.S.,YOUNIS B.A.,SEO I.W.,Water Resour. Manage., 2007 (21), 1165–1186.
- [8] 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, Technical Bulletin, Cracow University of Technology, 2006, No. 2 (in Polish).
- [9] 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, Technical Bulletin, Cracow University of Technology, 2006, No. 2 (in Polish).
- [10] BIELSKI A., Selected aspects of mass transfer rate determination between phases in the watercourse, Part III. Modification of Whitman’s model for concentration changing in time, Technical Bulletin, Cracow University of Technology, 2006, No. 2 (in Polish).
- [11] BIELSKI A.,Environ. Prot. Eng., 2011, 37 (4), 71.
- [12] BIELSKI A.,Environ. Prot. Eng., 2011, 37 (2), 35.
- [13] BEN CHIE YEN, Open-channel flow equations revisited, J. Eng Mech. Div. ASCE, 1973, 979.
- [14] CHAPRA S.C., Surface water – quality modeling, Waveland Press, Inc., 2008.
- [15] DELBERT D.FRANZ,LINSLEY,KREAGER ASSOCIATES,MELCHING C.S., U.S. Geological Survey, Full equations (FEQ) model for the solution of the full, dynamic equations of motion for one-dimensional unsteady flow in open channels and through control structures, Water Resources Investigations 96-4240, Mountain View, California, Urbana, Illinois, 1997, http://www.geogr.uni-jena.de/software/feg.html
- [16] LIU X.-B., PENG W.-Q., HE G.-J., LIU J.- L., WANG Y.-C., A coupled model of hydrodynamics and water quality for Yuqiao reservoir in Haihe river basin, J. Hydrodynamics, 2008, 20 (5), 574–582.
- [17] MARTIN J.L., MCCUTCHEON S.C., Hydrodynamics and Transport for water quality modeling, Lewis Publishers, CRC Press, Inc., 1999.
- [18] SAWICKI J.,Flows with Free Surface, PWN, Warsaw, 1998.
- [19] SAWICKI J.M., Modeling of turbulent transport in flows with free surface, collective work,J. Boczar (Ed.), Mathematical models of transport and exchange of momentum and mass in surface waters and groundwaters, Warsaw University of Technology, 1991, No. 2.
- [20] WESSELING P.,Principles of computational fluid dynamics, Springer, Berlin, 2001.
- [21] ZHANG M.-L.,SHEN Y.-M.,GUO Y., J. Hydrodynamics, 2008, 20 (6), 719–726.
- [22] PUZYREWSKI R., SAWICKI J., Basics for Hydraulic and Fluid Mechanics, PWN, Warsaw, 1987 (in Polish).
- [23] TROSKOLAŃSKI A.T.,Hydromechanics, WNT, Warsaw 1969 (in Polish).
- [24] CUNGE J.A., HOLLY F.M., VERWEY A.,Practical Aspects of Computational River Hydraulics, Pitman Publishing Ltd., London, 1980.
- [25] FINDEISEN W., SZYMANOWSKI J.,WIERZBICKI A., Theory and computational methods of optimization, PWN, Warsaw, 1980 (in Polish).
- [26] SIENIUTYCZ ST.,Optimization in Process Engineering, WNT, Warsaw, 1978 (in Polish).
- [27] WIT R.,Methods of Nonlinear Programming, WNT, Warsaw, 1986 (in Polish).
- [28] GRAF BADAL J., Water Resour. Bull., 1995, 31 (2), 265, http://az.water.usgs.gov/gcbd/dye1991/dye91.html
- [29] BIELSKI A., Modeling contaminant transport in surface streams, Environmental Engineering Series, Cracow University of Technology, 2011, monograph 393 (in Polish).
- [30] SZYMKIEWICZ R., Mathematical Modelling of Flows in Rivers and Canals, PWN, Warsaw, 2000 (in Polish).
- [31] ILLER E., Tracer Studies in Process Engineering, WNT, Warsaw, 1992 (in Polish).
- [32] BOCZAR J., Patterns for Modelling the Processes of Propagation and Transformation of Pollutants in Rivers, Szczecin University of Technology, 1980, No. 148 (in Polish).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-72cad9ba-6250-47d2-87b8-86a749d72d6d