Multi phase numerical modelling of thickening and sedimentation.

by Christopher John Bailey

Publisher: Thames Polytechnic in London

Written in English
Published: Downloads: 12
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Edition Notes

Collaborating body:Department of Trade and Industry, Warren Springs Laboratories (sic).

ContributionsWarren Spring Laborarory.
ID Numbers
Open LibraryOL21286239M

One of the first multi-dimensional numerical models of primary sedimentation was introduced by Imam et al. (). The model used a finite difference discretization of the governing equations to simulate the settling of several classes of solids in the flow domain. Results were compared to several different theoretical estimates by Camp () and. Computational fluid dynamics (CFD) is a rapidly emerging field in wastewater treatment (WWT), with application to almost all unit processes. This paper provides an overview of CFD applied to a wide range of unit processes in water and WWT from hydraulic elements like flow splitting to physical, chemical and biological processes like suspended growth nutrient removal and anaerobic digestion. International Journal for Numerical Methods in Fluids. These results are a first stage in the development of highly accurate multi-physics, multi-phase, multi-scale flow models. Other than engineering and industrial applications the further development of such methods may be implemented in a wider context of the natural sciences. A numerical simulation has been carried out to study the flow field in the two-phase integration of sludge thickening and digestion reactor. The study is based on the solution of the complete NavierStokes equations and RNG k-ε turbulence models using a finite volume technique. The analysis results show that the two-phase integration of sludge thickening and digestion reactor exists some.

The model was created with Balas® simulation software linked with MS Excel. The description of the model is presented in PowerPoint slides, ChemSep – report slides. This document, instead, acts as a theory source for the use of the model. In this document, the classification of separation processes into heterogeneous and homogeneous separation. 6. Experimental studies on dispersed two-phase flows including new measurement techniques. Test Case Calculations An additional objective of the Workshop will be related to the validation of numerical predictions obtained by different model approaches and numerical codes. Numerical methods for the simulation of continuous sedimentation in ideal clarifier-thickener units R. Bu¨rgera,*, K.H. Karlsenb,c, N.H. Risebrod, J.D. Towerse aInstitute of Applied Analysis and Numerical Simulation, University of Stuttgart, Pfaffenwaldr D Stuttgart, Germany bDepartment of Mathematics, University of Bergen, t. 12, N Bergen, Norway. Our Research on Computational Hydraulics and Physical Modeling of Hydraulic Structures. Our research focuses on the numerical modeling (Computational Fluid Dynamics) and physical modeling (Laboratory) of a wide array of hydraulic structures, including fish passage structures, dams, flood gates, pumping stations, canoe chutes, turbines, energy dissipators, and multi-phase flows.

Course No: Course Name: Credit (Lecture-Theory-Extra-Lab-O-C) Learning Objectives: Outcomes: Syllabus: PE Reservoir Simulation (GSK) This course aims to (1) introduce the student a fundamental knowledge on modelling multi-phase fluid flow through petroleum reservoirs by numerical techniques, which is a widely used tool in petroleum industry and research and (2) guide the. Description: This book develops the theoretical foundations of disperse two-phase flows, which are characterized by the existence of bubbles, droplets or solid particles finely dispersed in a carrier fluid, which can be a liquid or a gas. Chapters clarify many difficult subjects, including modeling of the interfacial area concentration. Solutions for a hyperbolic model of multi-phase ow and related numerical issues Debora Amadori Department of Pure and Applied Mathematics University of L'Aquila, Italy e-mail: [email protected] In the rst part of the talk we present a model for the ow of an inviscid uid admitting liquid and vapor phases, as well as a mixture of them. Inviscid Flow on Moving Grids with Multiscale Space and Time Adaptivity.- CONTRIBUTED LECTURES.- A Relaxation Method for a Two Phase Flow with Surface Tension.- Extension of Interface Coupling to General Lagrangian Systems.- A Numerical Scheme for the Modeling of Condensation and Flash Vaporization in Compressible Multi-Phase Flows

Multi phase numerical modelling of thickening and sedimentation. by Christopher John Bailey Download PDF EPUB FB2

Enter the password to open this PDF file: Cancel OK. File name:. Multi phase numerical modelling of thickening and sedimentation Author: Bailey, Christopher John ISNI A numerical model has been developed to simulate the settlement of non-flocculated particulate suspensions in batch sedimentation.

The non-flocculated mode of the model is extended to predict the performance of a continuous gravity : Christopher John Bailey. A numerical model of gravity sedimentation and thickening was developed from the governing two-phase flow equations for the liquid and solid phases.

The inertial and gravity terms in the solid and liquid momentum equations were retained in the gravity sedimentation and thickening by: ABSTRACT: A numerical model of gravity sedimentation and thickening was developed from the governing two-phase flow equations for the liquid and solid phases.

The inertial and gravity terms in the solid and liquid momentum equations were retained in the gravity sedimentation and thickening model.

An implicit, space. Multi phase numerical modelling of thickening and sedimentation. A numerical model has been developed to simulate the settlement of non-flocculated particulate suspensions in batch sedimentation. The non-flocculated mode of the model is extended to predict the performance of a continuous gravity thickener.\ud \ud The various particle Author: Christopher John Bailey.

From the results, thickening ratio, the maximum viscosity beyond the thickening point over the viscosity at the critical shear rate, is for the single-phase STF and for the multi-phase STF which means that the shear thickening behavior diminishes as the carbide particles are included in the suspension since the thickening ratio.

A numerical model of gravity sedimentation and thickening was developed from the governing two-phase flow equations for the liquid and solid phases. NUMERICAL MODELING AND ANALYSIS MODELING OF SHEAR THICKENING FLUIDS Most modeling of STF like blood or industrial slurries have been modeled using a two-phase or multi-phase Eulerian approach.

However, the Eulerian model could only provide an overall performance of the fluid, which contains both the fluid base and the particulates as. The aim of this book is to present a rigorous phenomenological and mathematical formulation of sedimentation processes and to show how this theory can be applied to the design and control of continuous thickeners.

The book is directed to stu­ dents and researchers in applied mathematics and. Sedimentation Engineering (Manual 54) is an excellent text Multi phase numerical modelling of thickening and sedimentation. book understanding the nature and scope of sedimentation problems, methods for their investigation, and practical approaches to their solution.

The manual focuses on sediment control methods for watersheds, streams, canals, and reservoirs. Initially, the model has been applied and verified in a simple, batch sedimentation test case in the 1-D settling tank (Depth, H= m) of Fig.

time t=0, a dense liquid (ρ 1) rests at the upper half part (r 1 =) of the settling tank, above an equivalent volume (r 2 =) of a lighter liquid (ρ 2).Flow in the tank is 1-D with gravitational force acting downwards. The Shear Thickening Fluid (STF) is a non- Newtonian fluid which comes under dilatant material, STF undergoes phase transition from a low to high viscosity when shear stress is applied on it.

In this paper modelling and simulation tools are used to study the STF fluid interaction when subjected to applied shear stress. The Eulerian description used for the fluid flow and the model considered. More general models and solvers in two or three spatial dimensions include e.g. [31,32, 27, 13], where numerical studies of batch sedimentation in rectangular channels have been presented.

Due to. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): A numerical model of gravity sedimentation and thickening was developed from the governing two-phase flow equations for the liquid and solid phases.

The inertial and gravity terms in the solid and liquid momentum equations were retained in the gravity sedimentation and thickening model. A two-phase model for the simulation of sedimentation processes is presented. The model solves the continuity and momentum equations for the pure-clear liquid and the sludge phases, and it is verified against a well-known benchmark problem, for which analytical solutions exist.

Numerical simulations of a typical 1-D batch sedimentation process for. Marine sediments of the Blake Ridge province exhibit clearly defined geophysical indications for the presence of gas hydrates and a free gas phase. Despite being one of the world’s best-studied gas hydrate provinces and having been drilled during Ocean Drilling Program (ODP) Legdiscrepancies between previous model predictions and reported chemical profiles as well as hydrate.

The aim of this book is to present a rigorous phenomenological and mathematical formulation of sedimentation processes and to show how this theory can be applied to the design and control of continuous thickeners. The book is directed to stu dents and researchers in applied mathematics and engineering sciences, especially in metallurgical, chemical, mechanical and civil engineering, and to.

Continuous sedimentation of solid particles in a liquid takes place in a clarifier-thickener unit, which has one feed inlet and two outlets. The aim of the paper is to formulate and analyse a dynamic model for this process under idealized physical conditions.

Obtaining the rheological curves of the multi-phase STFs, the model proposed by Wei et al was studied in a multi-phase concept. According to the results, the model exhibited good fitting for the thickening stage of the multi-phase STFs however, there was a loss of performance in the shear thinning stage prior to the thickening point.

The numerical results of such a biomechanical model will be collected and discussed in §4. The issue of contour instability during the early growth of skin cancer will be treated in §5, performing a linear stability analysis of the perturbed tumour front in the multi-phase model.

Finally, in §6 the authors analyse the main results of the. A mathematical model for batch and continuous thickening of flocculated suspensions in vessels with varying cross-section R.

Bu¨rgera,*, J.J.R. Damascenob, K.H. Karlsenc aInstitute of Applied Analysis and Numerical Simulation, University of Stuttgart, Pfaffenwaldr D Stuttgart, Germany bFaculty of Chemical Engineering, Federal University of Uberlaˆndia, Av.

Joa˜o Naves de A. The new numerical multi-phase model simulates gas hydrate and free gas formation from both in-situ POC degradation and a deeply sourced methane flux. The model contains four phases (solid porous matrix, pore fluids, gas hydrate, and gaseous methane (CH 4 gas)) and four chemical species (organic carbon (POC), dissolved inorganic carbon (DIC.

Sedimentation and Thickening. Rushton ‘Colynwood’ Claremont Drive West Timperley Cheshire, WA 14 5NE Great Britain. Search for more papers by this author.

Book Author(s): A. Rushton ‘Colynwood’ Claremont Drive West Timperley Cheshire, WA 14 5NE Great Britain. • Algebraic slip model. – Dispersed phase in a continuous phase. – Solve one momentum equation for the mixture. • Two-fluids theory (multi-fluids). – Eulerian models.

– Solve as many momentum equations as there are phases. • Discrete element method. – Solve the. Numerical modelling of tephra fallout associated with dome collapses and Vulcanian explosions: application to hazard assessment on Montserrat. In The Eruption of Soufrière Hills Volcano, Montserrat, from toed.

Druitt, T. and Kokelaar, B. For the gravitational thickening process simulations in FlexPDE, the initial and boundary conditions were formulated on the solid edge of the settling. Conclusions For the gravitational thickening process, the mathematical modeling of movement equations is combined into a multi-component system model.

Engineers and engineering students will find a rigorous formulation of the mathematical model of sedimentation and the exact and approximate solutions for the most important problems encountered in the laboratory and in industry in Chapters 1 to 3, 7 and 8, and 10 to 12, which form a.

For this reason we have organized the chapters in such a way that the book can be read in two ways. Engineers and engineering students will find a rigorous formulation of the mathematical model of sedimentation and the exact and approximate solutions for the most important problems encountered in the laboratory and in industry in Chapters 1 to.

On Numerical Methods for Hyperbolic Conservation Laws and Related Equations Modelling Sedimentation of Solid-Liquid Suspensions F. Betancourt, R. B¨ urger, R. Ruiz-Baier, H. Torres, and C.A. Vega Abstract A classical kinematical model of sedimentation of small equal-sized particles dispersed in a viscous fluid leads to a scalar conservation.

Particle sedimentation Slippery surface Drag reduction Lattice Boltzmann method 1. Introduction The transport of particles suspended in a viscous fluid plays an im-portant role in many natural and industrial processes involving multi-phase flows, such as paper manufacturing, bed.

A computational model is developed for a fully coupled analysis of flow and deformation problems in variably saturated soils. The hydro-mechanical model is formulated with in a three phase framework using mass and momentum balance equations and the effective stress approach.The major objective of SIG 12 is the improvement of numerical predictions of dispersed turbulent two-phase flows and the associated models.

This involves the following issues: exchange of knowledge and results on elementary processes (experimental data and DNS results).The primary objective of this paper was to model the dewatering behavior of slurries during thickening. Two separate numerical models were developed using constitutive relationships based on the nonlinear finite strain consolidation theory and on the inclusion of a hindered sedimentation regime in the consolidation theory.