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Mixing Cell Model
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Download or read book Mixing Cell Model written by and published by . This book was released on 2009 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This report describes the Mixing Cell Model code, a one-dimensional model for water flow and solute transport in the unsaturated zone under steady-state or transient flow conditions. The model is based on the principles and assumptions underlying mixing cell model formulations. The unsaturated zone is discretized into a series of independent mixing cells. Each cell may have unique hydrologic, lithologic, and sorptive properties. Ordinary differential equations describe the material (water and solute) balance within each cell. Water flow equations are derived from the continuity equation assuming that unit-gradient conditions exist at all times in each cell. Pressure gradients are considered implicitly through model discretization. Unsaturated hydraulic conductivity and moisture contents are determined by the material-specific moisture characteristic curves. Solute transport processes include explicit treatment of advective processes, first-order chain decay, and linear sorption reactions. Dispersion is addressed through implicit and explicit dispersion. Implicit dispersion is an inherent feature of all mixing cell models and originates from the formulation of the problem in terms of mass balance around fully mixed volume elements. Expressions are provided that relate implicit dispersion to the physical dispersion of the system. Two FORTRAN codes were developed to solve the water flow and solute transport equations: (1) the Mixing-Cell Model for Flow (MCMF) solves transient water flow problems and (2) the Mixing Cell Model for Transport (MCMT) solves the solute transport problem. The transient water flow problem is typically solved first by estimating the water flux through each cell in the model domain as a function of time using the MCMF code. These data are stored in either ASCII or binary files that are later read by the solute transport code (MCMT). Code output includes solute pore water concentrations, water and solute inventories in each cell and at each specified output time, and water and solute fluxes through each cell and specified output time. Computer run times for coupled transient water flow and solute transport were typically several seconds on a 2 GHz Intel Pentium IV desktop computer. The model was benchmarked against analytical solutions and finite-element approximations to the partial differential equations (PDE) describing unsaturated flow and transport. Differences between the maximum solute flux estimated by the mixing-cell model and the PDE models were typically less than two percent.
Download or read book Mixing Cell Model written by A. S. Rood and published by . This book was released on 2005 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This report describes the Mixing Cell Model code, a one-dimensionalmodel for water flow and solute transport in the unsaturated zone understeady-state or transient flow conditions. The model is based on the principlesand assumptions underlying mixing cell model formulations. The unsaturatedzone is discretized into a series of independent mixing cells. Each cell may haveunique hydrologic, lithologic, and sorptive properties. Ordinary differentialequations describe the material (water and solute) balance within each cell. Waterflow equations are derived from the continuity equation assuming thatunit-gradient conditions exist at all times in each cell. Pressure gradients areconsidered implicitly through model discretization. Unsaturated hydraulicconductivity and moisture contents are determined by the material-specificmoisture characteristic curves. Solute transport processes include explicittreatment of advective processes, first-order chain decay, and linear sorptionreactions. Dispersion is addressed through implicit and explicit dispersion. Implicit dispersion is an inherent feature of all mixing cell models and originatesfrom the formulation of the problem in terms of mass balance around fully mixedvolume elements. Expressions are provided that relate implicit dispersion to thephysical dispersion of the system. Two FORTRAN codes were developed to solve the water flow and solutetransport equations: (1) the Mixing-Cell Model for Flow (MCMF) solvestransient water flow problems and (2) the Mixing Cell Model for Transport(MCMT) solves the solute transport problem. The transient water flow problemis typically solved first by estimating the water flux through each cell in themodel domain as a function of time using the MCMF code. These data are storedin either ASCII or binary files that are later read by the solute transport code(MCMT). Code output includes solute pore water concentrations, water andsolute inventories in each cell and at each specified output time, and water andsolute fluxes through each cell and specified output time. Computer run times forcoupled transient water flow and solute transport were typically several secondson a 2 GHz Intel Pentium IV desktop computer. The model was benchmarkedagainst analytical solutions and finite-element approximations to the partialdifferential equations (PDE) describing unsaturated flow and transport. Differences between the maximum solute flux estimated by the mixing-cellmodel and the PDE models were typically less than two percent.
Book Synopsis The Mixing-cell Transport Model by : F. Bloemer
Download or read book The Mixing-cell Transport Model written by F. Bloemer and published by . This book was released on 1985 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mixing Cell Model by : Arthur S. Rood
Download or read book Mixing Cell Model written by Arthur S. Rood and published by . This book was released on 2005 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Three-dimensional Mixing Cell Solute Transport Model and Its Application by : Bhasker K. Rao
Download or read book A Three-dimensional Mixing Cell Solute Transport Model and Its Application written by Bhasker K. Rao and published by . This book was released on 1989 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Micro and Macro Mixing by : Henning Bockhorn
Download or read book Micro and Macro Mixing written by Henning Bockhorn and published by Springer Science & Business Media. This book was released on 2009-12-26 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: The homogenization of single phase gases or liquids with chemical reactive components by mixing belongs to one of the oldest basic operations applied in chemical engineering. The mixing process is used as an essential step in nearly all processes of the chemical industry as well as the pharmaceutical and food ind- tries. Recent experimentally and theoretically based results from research work lead to a fairly good prediction of the velocity fields in differend kinds of mixers, where as predictions of simultaneously proceeding homogeneous chemical re- tions, are still not reliable in a similar way. Therefore the design of equipment for mixing processes is still derived from measurements of the so called “mixing time” which is related to the applied methods of measurement and the special - sign of the test equipment itself. The cooperation of 17 research groups was stimulated by improved modern methods for experimental research and visualization, for simulations and nume- cal calculations of mixing and chemical reactions in micro and macro scale of time and local coordinates. The research work was financed for a six years period within the recently finished Priority Program of the German Research Foundation (DFG) named “Analysis, modeling and numerical prediction of flow-mixig with and without chemical reactions (SPP 1141)”. The objective of the investigations was to improve the prediction of efficiencies and selectivities of chemical re- tions on macroscopic scale.
Download or read book Process Mixing written by and published by . This book was released on 1992 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Mixing Cell Model of the Fernley, Nevada Groundwater System by : Casey W. Cook
Download or read book A Mixing Cell Model of the Fernley, Nevada Groundwater System written by Casey W. Cook and published by . This book was released on 2000 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Series Mixing Cell Model for the Dynamic Response of a Packed Gas Absorber by : Edgar Lucian Mohundro
Download or read book A Series Mixing Cell Model for the Dynamic Response of a Packed Gas Absorber written by Edgar Lucian Mohundro and published by . This book was released on 1967 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On the Cell Model for Solutions by : Stuart Alan Rice
Download or read book On the Cell Model for Solutions written by Stuart Alan Rice and published by . This book was released on 1956 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Disorder and Mixing written by E. Guyon and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: CARGESE INSTITUfE ON DISORDER AND MIXING Convection, diffusion and reaction are the three basic mechanisms in physico-chemical hydrodynamics and chemical engineering. Both convective and diffusive processes are strongly influenced by the effect of disorder of granular matter in porous media, suspensions, fluidized beds or/and by the randomness caused in turbulent flow field. This book has been initiated by a NATO summer institute held in Cargese (Corsica, FRANCE) from June 15 th to 27 th 1987 . Its aim was to associate statistical physicists, fluid mechanicians and specialists of chemical engineering on the problems of the relation between disorder and mixing and, in this respect, this is a " premiere ". This book is made of chapters based on lectures given in the meeting. However we have paid a considerable attention to harmonize the contents and styles of chapters made by scientists trained in different communities and using different languages and techniques to describe similar problems. The Prelude by the editors of the book introduces the different points and is a biased view of some of the important and most active aspects of the subjects developed. We wish to thank all contributors and students of the institute who gave the style of the present interdisciplinary approach. We also greatly thank Elisabeth Charlaix who has shared with us the scientific and practical organisation of the institute, and Marie-France Hanseler for her technical support.
Book Synopsis Advances in Industrial Mixing by : Suzanne M. Kresta
Download or read book Advances in Industrial Mixing written by Suzanne M. Kresta and published by John Wiley & Sons. This book was released on 2016-03-11 with total page 1035 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Industrial Mixing is a companion volume and update to the Handbook of Industrial Mixing. The second volume fills in gaps for a number of industries that were not covered in the first edition. Significant changes in five of the fundamental areas are covered in entirely updated or new chapters. The original text is provided as a searchable pdf file on the accompanying USB. This book explains industrial mixers and mixing problems clearly and concisely. Gives practical insights by the top professionals in the field, combining industrial design standards with fundamental insight. Details applications in 14 key industries. Six of these are new since the first edition. Provides the professional with information he/she did not receive in school. Five completely rewritten chapters on mixing fundamentals where significant advances have happened since the first edition and seven concise update chapters which summarize critical technical information.
Book Synopsis Dynamic Modelling, Bifurcation and Chaotic Behaviour of Gas-Solid Catalytic Reactors by : S. S. E. H. Elnashaie
Download or read book Dynamic Modelling, Bifurcation and Chaotic Behaviour of Gas-Solid Catalytic Reactors written by S. S. E. H. Elnashaie and published by CRC Press. This book was released on 1996-03-18 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Transport Processes in Porous Media by : Frank A. Coutelieris
Download or read book Transport Processes in Porous Media written by Frank A. Coutelieris and published by Springer Science & Business Media. This book was released on 2012-01-25 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of this book is to study the porous media and the transport processes occur there. As a first step, the authors discuss several techniques for artificial representation of porous. Afterwards, they describe the single and multi phase flows in simplistic and complex porous structures in terms of macroscopic and microscopic equations as well as of their analytical and numerical solutions. Furthermore, macroscopic quantities such as permeability are introduced and reviewed. The book also discusses with mass transport processes in the porous media which are further strengthen by experimental validation and specific technological applications. This book makes use of state-of-the-art techniques for the modeling of transport processes in porous structures, and considers of realistic sorption mechanisms. It the applies advanced mathematical techniques for upscaling of the major quantities, and presents the experimental investigation and application, namely, experimental methods for the measurement of relevant transport properties. The main benefit of the book is that it discusses all the topics related to transport in porous media (including state-of-the-art applications) and presents some of the most important theoretical, numerical and experimental developments in porous media domain, providing a self-contained major reference that is appealing to both the scientists and the engineers. At the same time, these topics encounter a variety of scientific and engineering disciplines, such as chemical, civil, agricultural, mechanical engineering. The book is divided in several chapters that intend to be a resume of the current state of knowledge for benefit of related professionals and scientists.
Download or read book Molecular Biology of the Cell written by and published by . This book was released on 2002 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Mixing-cell Model of the Railroad Valley Regional Groundwater Flow System, Central Nevada by : James G. Roth
Download or read book A Mixing-cell Model of the Railroad Valley Regional Groundwater Flow System, Central Nevada written by James G. Roth and published by . This book was released on 1989 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A [delta] 18O Calibrated Compartmental Mixing Cell Model of Groundwater Flow in the Roswell Basin, Southeastern New Mexico by : Michael Gabora
Download or read book A [delta] 18O Calibrated Compartmental Mixing Cell Model of Groundwater Flow in the Roswell Basin, Southeastern New Mexico written by Michael Gabora and published by . This book was released on 2003 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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