Predicting Size Distribution of Dispersed Phase Systems

Size: px
Start display at page:

Download "Predicting Size Distribution of Dispersed Phase Systems"

Transcription

1 Predicting Size Distribution of Dispersed Phase Systems Evren Bayraktar Supervisors: Prof. S.Turek (Dortmund), Dr. Ing. Otto Mierka, Dr. Ing. Frank Platte , Sulzer Page 1

2 Outline Introduction Theory Coupling PBE-CFD Diffusive Transport Modeling of Coalescence Phenomena Modeling of Breakage Phenomena Discretization of internal (size) coordinate Results & Discussion Simple Pipe Problem Complex Geometry Problem : Static Mixer High Quality CFD Data Future Plans Page 2

3 Introduction Evolution of the size distribution of the secondary phase IN Time Spatial coordinate Internal coordinate WITH Hydrodynamic quantities Physical qualities Page 3

4 Introduction The effort results in an inevitable coupling of CFD and PBE. No analytical solution for practical problems! No commercial code sufficiently good for every case! Accurate CFD calculations for complex geometries! High computational costs! Lack of unified framework of breakage kernel! Robust, fast and accurate prediction of mixing properties! Page 4

5 Theory: C-D Problem A scalar non-linear time dependent non-homogenous convection-diffusion problem. Non-homogeneity: Source and Sink terms due to Coalescence Breakage Robustness and fastness depends on the numerical schemes. Accuracy depends on modeling of source and sink terms. Page 5

6 Theory: PBEs PBEs are introduced into C-D problem An integro-differential equation which has to be treated very carefully! which has to be closed with proper kernels to obtain accurate results. which has to be discretized with proper techniques to obtain robust and fast solvers. Page 6

7 Theory: Kernels Coalescence kernel Breakage kernel Most of the models shows the similar trends. Equlibrium BSD is independent of choosen model. (Buwa&Ranade, 2002) Page 7

8 Theory: Breakage kernel Luo&Svendsen, 1996 Lehr et. al., 2001 Bazan et. al., 1999 Theoretical model: Lehr et. al., 2001, NO emprical parameters Phenomenological model: Martinez-Bazan et. al., 1999 Kg = 0.25 β = 8.2; by Batchelor,1956. Page 8

9 Theory: Breakage kernels Page 9

10 Theory: Tsouris & Tavlarides Geometric parameter k 8 : ratio of impeller volume to tank volume. Empirical parameter C 1 : found by LSF to measured data. The breakage frequency is too much problem specific! Page 10

11 Theory: Tsouris & Tavlarides Є min : energy required to create minimum and largest size bubble. Є max : energy required to create two equal sized bubble. Є d : surface energy of a bubble with size d. Unequal breakage is preferred. The formulation is general. Page 11

12 Theory: Lehr et al., 2001 A theoretical kernel which does not contain any empirical parameter. NOT problem specific. DSD function can represent extremes. Page 12

13 Theory: Lehr et al., 2002 Work with non-dimesional parameters for wide range of operating conditions. Charecteristic time, length are introduced. Page 13

14 Theory: Lehr et al., 2002 α = 0.13 ε = m 2 s 3 A: α = 0.20 ε = m 2 s 3 B: α = 0.08 ε = m 2 s 3 Page 14

15 Theory: Martinez et al., 1999 Breakup frequency (s -1 ) f*(d*) Ref 4 mm ε = 10 m 2 s -3 d ε = 4100 mmm 2 s -3 Ref 3 mm ε = 1000 m 2 s -3 d = 1 mm Ref 1 mm d = 0.5 mm Ref 50 mm Piecewise Breakup Daughter Frequency Constant Size Distribution Approximation and Velocity A phenomenological model with two emprical parameter. NOT problem specific. DSD function is I-type, unequal breakage is preferable. 1 Breakup velocity, u b (m s - 1 ) d d* d* (m) x 10-3 Page 15

16 Theory: Size Discretization To solve the integro-differential PBE for practical applications, the integrals should be discretized with a proper discretization technique. Method of Moments (MOM), McGraw and Saunders, 1984 Quadrature Method of Moments (QMOM), Marchsio et al., 2003 Direct Quadrature Method of Moments (DQMOM), Marchsio et al., 2005 Parallel Parent Daughter Classes (PPDC), Bove et al., 2005 Method of Classes (MC), Kumar and Ramkrishna, 1996 Cell Averaged Technique (CAT), Kostoglou, 2007 IF THE DISCRETIZATION IS FINE ENOUGH, THE RESULT SHOULD BE INDEPENDENT OF THE CHOSEN METHOD!? Page 16

17 Theory: D/Q/MOM All is based on formulating a tracer equation for moments or abscissas and weights. MOM: the key is to formulate the problem in terms of the moments in closed forms. MOM can be used when the source and sink terms directly computed. Which is possible only for growth terms. MOM is extended to QMOM for breakage and coalescence. DQMOM avoids the PD algorithm which is used in QMOM and tracks the abscissas and weights. DQMOM QMOM MOM Page 17

18 Theory: D/Q/MOM Reformulation of the problem in terms of moments Page 18

19 Theory: D/Q/MOM Page 19

20 Theory: MC & PPDC MC formulation of the problem yields, Page 20

21 Theory: MC & PPDC What s a good value for discretization constant q? Lehr et al., Page 21

22 Theory: MC & PPDC Generally, initial condition of our problems is a dirac function or superposition of few. Bove et al., 2005 Page 22

23 Theory: MC & PPDC The key is product difference algorithm. (Gordon, 1968; Bove et al., 2005) i. BSD Construction with M parent of matrix classes P. at t n. ii. Compute Generating the a new vector expanded α with entries BSD at of tp. n+1. iii. Calculate Assembling the a first symmetric 2M moments tridiagonal of the matrix new expanded J with entries BSD. of α. iv. Obtain Eigenvalues the reduced of J are BSD the abscissas with M classes of reduced by using PSD PD and algorithm. the number v. Repeat densities this can until be tfound n+1 Tby the first entries of corresponding eigenvectors. max. Page 23

24 Theory: MC & PPDC N 0 = 1, C = 1, v 0 = 1 N 0 = 1 & C = 1 Page 24

25 Theory: MC & PPDC Comparison of MC and PPDC for the following case: α = 0.18, ε = , water-air mixture x # relative density iad Error (m %Err % -1 (m ) -3 ) d43 d32 (m) (m) ppdc2 ppdc3 ppdc4 Reference Volume Interfacial Sauter Reference Number Average Mean solution: Area Density solution: Density Diameter Method vs PPDC5 Time vs of vs Time Classes Time MC MC PPDC2 PPDC2 PPDC3 PPDC3 PPDC4 PPDC4 MC MC PPDC2 PPDC2 PPDC3 PPDC3 PPDC2 PPDC4 PPDC4 PPDC3 PPDC fractional 2 time order moment 2.5 (s) moment order time (s) Page 25

26 Theory: PPDC with LMM & MB Simulation Convergence of coalescence of different models and breakage with 2,3, dominant and 4 Parent cases. classes. # density (m-3) d 32 (m) x Sauter Number Mean LMM Density vs Diameter MB vs d 32 Time vs Time LMM4C LMM2 MB4C LMM3 LMM4B MB4B MB3 MB2 MB LMM2 2 LMM3 LMM4 MB2 LMM4C 1 MB3 MB4C MB4 LMM4B MB4B time (s) Page 26

27 Theory: CFD-PBE Non-stationary two way coupled, CFD - PBE. X X X X Non-stationary one way coupled, CFD - PBE. Stationary one way coupled, CFD - PBE. X X Page 27

28 Theory: PPDC and Convection Suggested by Bove (Bove, 2005) at t = t n for a known f(d,x,t) with m parent class, i. Calculate the source and sink terms due to coalescence and breakage at every x i according to PPDC. ii. With these calculated terms obtain the source and sink terms for first 2m order of moments. iii. Convect the first 2m moments with these source and sink terms, solve 2m C-D problem. iv. Obtain the reduced PSD by product difference algorithm at every x i which is f(d,x,t n+1 ). Page 28

29 Results: MC Page 29

30 Results: PPDC number densities 1.10E9 2.00E8 5.40E6 # density E8 1.50E8 4.21E6 5.70E8 1.01E8 3.02E6 # density E8 5.10E7 1.84E6 # density E7 1.40E6 6.50E5 Page 30

31 Results: PPDC abcis abcis abcis abcis mm 4.10 Page 31

32 Results: PPDC moments 1.15E9 6.80E5 1.95E-2 0 th moment 9.36E8 5.42E5 1.85E E8 5.42E5 1.75E-2 1 st moment 4.15E8 2.68E5 1.65E-2 4 th moment 9.80E8 1.30E5 1.55E-2 Page 32

33 Results: PPDC vs MC d 32 PPDC d 32 MC mm Page 33

34 Results: Static Mixer Page 34

35 Results: Static Mixer xy plane at z= m, distribution just after the mixer. yz plane is located at x = m, midplane in x. d 32 = 10.55E-6 m Page 35

36 Results: Static Mixer , Your Name Sulzer Dortmund xy plane at z= m. d32 =10.63E-6 m. Page 36

37 Results: Static Mixer xy plane at z= m, outlet. d32 = 10.76E-6 m iad (1/m) α α d (m) d (m) iad (1/m) Void Fraction vs Diameter iad vs Diameter d (m) Page 37

38 Results: Static Mixer d 32 distribution 10.5E-6< d 32 <11.2E-6, d 32 = 10.8E-6 (all in meters) Dispersed phase is mixed homogenously in spatial space. Nevertheless, previous graphs has shown that mixing has a bimodal distribution. Page 38

39 Results: Static Mixer x sauter mean diameter d 32 (m) time(sec) Changes in the cutplanes are too small. After the first flow through ( sec), d32 = 10.8E-6 m. Page 39

40 Results: Static Mixer Calculations for three different initial condition. d 32 = 760E-6 m in equilibrium. d 32 = 10.8E-6 m in equilibrium (recent). Page 40

41 Results: Static Mixer eps (m 2 s -3 ) eps (m 2 s -3 ) d E-6 m d E-6 m Page 41

42 Discussion: Mesh Deformation (2D) Page 42

43 Discussion: Fictitious Boundary Page 43

44 Plans PLANS NEAR FUTURE FUTURE High Quality CFD Multifluid models PBE_LMM_MC/PPDC Parallelization PBE_MB_MC/PPDC Hybrid Models Page 44

45 Page 45

Modeling Industrial Crystallizers

Modeling Industrial Crystallizers Modeling Industrial Crystallizers Kumar Dhanasekharan, Ph.D. Fluent Inc., 10 Cavendish Court, Lebanon, NH 03766 Phone: (603) 643-2600 x323; Email: kd@fluent.com One of the main challenges in industrial

More information

Multiphase Flows. Mohammed Azhar Phil Stopford

Multiphase Flows. Mohammed Azhar Phil Stopford Multiphase Flows Mohammed Azhar Phil Stopford 1 Outline VOF Model VOF Coupled Solver Free surface flow applications Eulerian Model DQMOM Boiling Model enhancements Multi-fluid flow applications Coupled

More information

Prediction of Minimum Fluidisation Velocity Using a CFD-PBM Coupled Model in an Industrial Gas Phase Polymerisation Reactor

Prediction of Minimum Fluidisation Velocity Using a CFD-PBM Coupled Model in an Industrial Gas Phase Polymerisation Reactor Journal of Engineering Science, Vol. 10, 95 105, 2014 Prediction of Minimum Fluidisation Velocity Using a CFD-PBM Coupled Model in an Industrial Gas Phase Polymerisation Reactor Vahid Akbari and Mohd.

More information

CFD Models for Polydisperse Solids Based on the Direct Quadrature Method of Moments

CFD Models for Polydisperse Solids Based on the Direct Quadrature Method of Moments CFD Models for Polydisperse Solids Based on the Direct Quadrature Method of Moments Rodney O. Fox H. L. Stiles Professor Department of Chemical Engineering Iowa State University Acknowledgements: US National

More information

MODENA. Deliverable 3.2. WP s leader: TU/e. Simulations for foams, dispersion and mixing and developed SW. Principal investigator:

MODENA. Deliverable 3.2. WP s leader: TU/e. Simulations for foams, dispersion and mixing and developed SW. Principal investigator: Delivery date: 11-4-2015 MODENA Authors: Patrick Anderson, Martien Hulsen, Christos Mitrias TU/e E-mail : pda@tue.nl Deliverable 3.2 Simulations for foams, dispersion and mixing and developed SW Daniele

More information

Aggregation and Breakage of Nanoparticle Dispersions in Heterogeneous Turbulent Flows

Aggregation and Breakage of Nanoparticle Dispersions in Heterogeneous Turbulent Flows ggregation and reakage of Nanoparticle Dispersions in Heterogeneous Turbulent Flows M. Soos,, D. Marchisio*, J. Sefcik, M. Morbidelli Swiss Federal Institute of Technology Zürich, Z CH *Politecnico di

More information

Applications of Computational Fluid Dynamics in the Process Industries. Ahmad Haidari & Peter Spicka Fluent Inc.

Applications of Computational Fluid Dynamics in the Process Industries. Ahmad Haidari & Peter Spicka Fluent Inc. Applications of Computational Fluid Dynamics in the Process Industries Ahmad Haidari & Peter Spicka Fluent Inc. 1 Outline Overview of CFD s growth in the process Industry Overview of modeling multiphase

More information

On the breakup of an air bubble injected into a fully developed turbulent flow. Part 2. Size PDF of the resulting daughter bubbles

On the breakup of an air bubble injected into a fully developed turbulent flow. Part 2. Size PDF of the resulting daughter bubbles J. Fluid Mech. (1999), vol. 41, pp. 183 27. Printed in the United Kingdom c 1999 Cambridge University Press 183 On the breakup of an air bubble injected into a fully developed turbulent flow. Part 2. Size

More information

Flerfasforskning vid Kemisk reaktionsteknik Chalmers. Bengt Andersson Love Håkansson Ronnie Andersson

Flerfasforskning vid Kemisk reaktionsteknik Chalmers. Bengt Andersson Love Håkansson Ronnie Andersson Flerfasforskning vid Kemisk reaktionsteknik Chalmers Bengt Andersson Love Håkansson Ronnie Andersson Mass transfer in turbulent boundary layers y + ()3effTDDDDKy+=+=+ >99% is transported by turbulence

More information

On the breakup of an air bubble injected into a fully developed turbulent flow. Part 1. Breakup frequency

On the breakup of an air bubble injected into a fully developed turbulent flow. Part 1. Breakup frequency J. Fluid Mech. (1999), vol. 401, pp. 157 182. Printed in the United Kingdom c 1999 Cambridge University Press 157 On the breakup of an air bubble injected into a fully developed turbulent flow. Part 1.

More information

Hydrodynamics of Bubble Columns: Turbulence and Population Balance Model

Hydrodynamics of Bubble Columns: Turbulence and Population Balance Model Article Hydrodynamics of Bubble Columns: Turbulence and Population Balance Model Camila Braga Vieira *, and Pierre Proulx ID ID, Giuliana Litrico, Ehsan Askari ID, Gabriel Lemieux ID Chemical Engineering

More information

Modelling multiphase flows in the Chemical and Process Industry

Modelling multiphase flows in the Chemical and Process Industry Modelling multiphase flows in the Chemical and Process Industry Simon Lo 9/11/09 Contents Breakup and coalescence in bubbly flows Particle flows with the Discrete Element Modelling approach Multiphase

More information

Numerical Simulation of Gas-Liquid-Reactors with Bubbly Flows using a Hybrid Multiphase-CFD Approach

Numerical Simulation of Gas-Liquid-Reactors with Bubbly Flows using a Hybrid Multiphase-CFD Approach Numerical Simulation of Gas-Liquid-Reactors with Bubbly Flows using a Hybrid Multiphase-CFD Approach TFM Hybrid Interface Resolving Two-Fluid Model (HIRES-TFM) by Coupling of the Volume-of-Fluid (VOF)

More information

Polydispersed bubbly flow model for ship hydrodynamics with application to Athena R/V

Polydispersed bubbly flow model for ship hydrodynamics with application to Athena R/V University of Iowa Iowa Research Online Theses and Dissertations Fall 2011 Polydispersed bubbly flow model for ship hydrodynamics with application to Athena R/V Alejandro Miguel Castro University of Iowa

More information

Modelling of Break-up and Coalescence in Bubbly Two-Phase Flows

Modelling of Break-up and Coalescence in Bubbly Two-Phase Flows Modelling of Break-up and Coalescence in Bubbly Two-Phase Flows Simon Lo and Dongsheng Zhang CD-adapco, Trident Park, Didcot OX 7HJ, UK e-mail: simon.lo@uk.cd-adapco.com Abstract Numerical simulations

More information

MULTIDIMENSIONAL TURBULENCE SPECTRA - STATISTICAL ANALYSIS OF TURBULENT VORTICES

MULTIDIMENSIONAL TURBULENCE SPECTRA - STATISTICAL ANALYSIS OF TURBULENT VORTICES Ninth International Conference on CFD in the Minerals and Process Industries CSIRO, Melbourne, Australia 10-12 December 2012 MULTIDIMENSIONAL TURBULENCE SPECTRA - STATISTICAL ANALYSIS OF TURBULENT VORTICES

More information

Study on residence time distribution of CSTR using CFD

Study on residence time distribution of CSTR using CFD Indian Journal of Chemical Technology Vol. 3, March 16, pp. 114-1 Study on residence time distribution of CSTR using CFD Akhilesh Khapre*, Divya Rajavathsavai & Basudeb Munshi Department of Chemical Engineering,

More information

Efficient simulation techniques for incompressible two-phase flow

Efficient simulation techniques for incompressible two-phase flow 3D-Surface Engineering für Werkzeugsysteme der Blechformteilefertigung - Erzeugung, Modellierung, Bearbeitung - Efficient simulation techniques for incompressible two-phase flow O. Mierka, O. Ouazzi, T.

More information

A Two-Fluid/DQMOM Methodology For Condensation In Bubbly Flow

A Two-Fluid/DQMOM Methodology For Condensation In Bubbly Flow A Two-Fluid/DQMOM Methodology For Condensation In Bubbly Flow Gothenburg Region OpenFOAM User Group Meeting, November 11, 2015 Klas Jareteg Chalmers University of Technology Division of Nuclear Engineering,

More information

BASIC DESIGN EQUATIONS FOR MULTIPHASE REACTORS

BASIC DESIGN EQUATIONS FOR MULTIPHASE REACTORS BASIC DESIGN EQUATIONS FOR MULTIPHASE REACTORS Starting Reference 1. P. A. Ramachandran and R. V. Chaudhari, Three-Phase Catalytic Reactors, Gordon and Breach Publishers, New York, (1983). 2. Nigam, K.D.P.

More information

An Overview of Impellers, Velocity Profile and Reactor Design

An Overview of Impellers, Velocity Profile and Reactor Design An Overview of s, Velocity Profile and Reactor Design Praveen Patel 1, Pranay Vaidya 1, Gurmeet Singh 2 1 Indian Institute of Technology Bombay, India 1 Indian Oil Corporation Limited, R&D Centre Faridabad

More information

RADIOTRACER RESIDENCE TIME DISTRIBUTION METHOD IN DIAGNOSING INDUSTRIAL PROCESSING UNITS: CASE STUDIES

RADIOTRACER RESIDENCE TIME DISTRIBUTION METHOD IN DIAGNOSING INDUSTRIAL PROCESSING UNITS: CASE STUDIES RADIOTRACER RESIDENCE TIME DISTRIBUTION METHOD IN DIAGNOSING INDUSTRIAL PROCESSING UNITS: CASE STUDIES J. Thereska*, E. Plasari** * Institute of Applied Nuclear Physics, Tirana, Albania ** Ecole Nationale

More information

On the numerical study of isothermal vertical bubbly flow using two population balance approaches

On the numerical study of isothermal vertical bubbly flow using two population balance approaches On the numerical study of isothermal vertical bubbly flow using two population balance approaches Sherman C.P. Cheung 1, G.H. Yeoh 2 and J.Y. Tu 1 1 School of Aerospace, Mechanical and Manufacturing Engineering,

More information

T H E U N I V E R S I T Y O F T U L S A THE GRADUATE SCHOOL INTERFACIAL PHENOMENA IN OIL-WATER DISPERSIONS. by Carlos Avila

T H E U N I V E R S I T Y O F T U L S A THE GRADUATE SCHOOL INTERFACIAL PHENOMENA IN OIL-WATER DISPERSIONS. by Carlos Avila T H E U N I V E R S I T Y O F T U L S A THE GRADUATE SCHOOL INTERFACIAL PHENOMENA IN OIL-WATER DISPERSIONS by Carlos Avila A dissertation submitted in partial fulfillment of the requirements for the degree

More information

Evolution of Drop Size Distributions in Fully Developed Turbulent Pipe Flow of a Liquid-Liquid Dispersion by Breakage

Evolution of Drop Size Distributions in Fully Developed Turbulent Pipe Flow of a Liquid-Liquid Dispersion by Breakage Ind. Eng. Chem. Res. 2005, 44, 1187-1193 1187 Evolution of Drop Size Distributions in Fully Developed Turbulent Pipe Flow of a Liquid-Liquid Dispersion by Breakage Nandkishor K. Nere and Doraiswami Ramkrishna*

More information

Modelling and Simulation of a Batch Poly(Vinyl Chloride) Reactor

Modelling and Simulation of a Batch Poly(Vinyl Chloride) Reactor 769 A publication of CHEMICAL ENGINEERING TRANSACTIONS VOL. 32, 23 Chief Editors: Sauro Pierucci, Jiří J. Klemeš Copyright 23, AIDIC Servizi S.r.l., ISBN 978-88-968-23-; ISSN 974-979 The Italian Association

More information

CFD ANALYSIS OF TURBULENCE EFFECT ON REACTION IN STIRRED TANK REACTORS

CFD ANALYSIS OF TURBULENCE EFFECT ON REACTION IN STIRRED TANK REACTORS CFD ANALYSIS OF TURBULENCE EFFECT ON REACTION IN STIRRED TANK REACTORS Udaya Bhaskar Reddy R*, Gopalakrishnan S, Ramasamy E Department of Chemical Engineering, Coimbatore Institute of Technology, Coimbatore-

More information

On the Comparison between Population Balance Models for CFD Simulation of Bubble Columns

On the Comparison between Population Balance Models for CFD Simulation of Bubble Columns Chemical and Biological Engineering Publications Chemical and Biological Engineering 2005 On the Comparison between Population Balance Models for CFD Simulation of Bubble Columns Jay Sanyal Fluent Inc.

More information

Hydrodynamics of Dispersed Liquid Droplets in Agitated Synthetic Fibrous Slurries

Hydrodynamics of Dispersed Liquid Droplets in Agitated Synthetic Fibrous Slurries Iowa State University From the SelectedWorks of Theodore J. Heindel November 3, 1997 Hydrodynamics of Dispersed Liquid Droplets in Agitated Synthetic Fibrous Slurries Theodore J. Heindel, Institute of

More information

DEVELOPMENT OF A MULTIPLE VELOCITY MULTIPLE SIZE GROUP MODEL FOR POLY-DISPERSED MULTIPHASE FLOWS

DEVELOPMENT OF A MULTIPLE VELOCITY MULTIPLE SIZE GROUP MODEL FOR POLY-DISPERSED MULTIPHASE FLOWS DEVELOPMENT OF A MULTIPLE VELOCITY MULTIPLE SIZE GROUP MODEL FOR POLY-DISPERSED MULTIPHASE FLOWS Jun-Mei Shi, Phil Zwart 1, Thomas Frank 2, Ulrich Rohde, and Horst-Michael Prasser 1. Introduction Poly-dispersed

More information

Menwer M. Attarakih a, Hans-Jörg Bart a,, Naim M. Faqir b

Menwer M. Attarakih a, Hans-Jörg Bart a,, Naim M. Faqir b Chemical Engineering Science 6 (26) 3 23 www.elsevier.com/locate/ces Numerical solution of the bivariate population balance equation for the interacting hydrodynamics and mass transfer in liquid liquid

More information

An Inverse Problem Method for RDC Simulation

An Inverse Problem Method for RDC Simulation An Inverse Problem Method for RDC Simulation Hanin B. Jildeh # Menwer Attarakih * Hans-Jörg Bart # # Chair of Separation Science and Technolog TU Kaiserslautern Postfach 9-676 Kaiserslautern German * Facult

More information

Nonlinear Iterative Solution of the Neutron Transport Equation

Nonlinear Iterative Solution of the Neutron Transport Equation Nonlinear Iterative Solution of the Neutron Transport Equation Emiliano Masiello Commissariat à l Energie Atomique de Saclay /DANS//SERMA/LTSD emiliano.masiello@cea.fr 1/37 Outline - motivations and framework

More information

Optimum Configuration of a Double Jet Mixer Using DOE

Optimum Configuration of a Double Jet Mixer Using DOE Optimum Configuration of a Double Jet Mixer Using DOE Manjula. P, Kalaichevi. P, Annadurai. G and Dheenathayalan. K Abstract Mixing is used for blending of liquids, flocculation, homogenization of mixtures,

More information

Overview of Turbulent Reacting Flows

Overview of Turbulent Reacting Flows Overview of Turbulent Reacting Flows Outline Various Applications Overview of available reacting flow models LES Latest additions Example Cases Summary Reacting Flows Applications in STAR-CCM+ Ever-Expanding

More information

10 TH EUROPEAN WASTE WATER CONFERENCE DEVELOPMENT OF FLOCCULATION MODELS FOR IMPROVING WATER TREATMENT

10 TH EUROPEAN WASTE WATER CONFERENCE DEVELOPMENT OF FLOCCULATION MODELS FOR IMPROVING WATER TREATMENT 10 TH EUROPEAN WASTE WATER CONFERENCE DEVELOPMENT OF FLOCCULATION MODELS FOR IMPROVING WATER TREATMENT Egarr, D. A. 1 *, Horton, L. 1, Rice, H. 2, Hunter, T. 2 1 MMI Engineering, Suite 7 Corum 2, Corum

More information

Floc Strength Scale-Up: A Practical Approach

Floc Strength Scale-Up: A Practical Approach Floc Strength Scale-Up: A Practical Approach Dr Mick Dawson Mr Brian Perkins Process Director mdawson@bhrgroup.co.uk 25 th October 2011 BHR Group 2011 BHR Group is a trading name of VirtualPiE Limited

More information

Chapter 8 STATISTICAL ASSESSMENT OF NUMERICAL DIFFUSION

Chapter 8 STATISTICAL ASSESSMENT OF NUMERICAL DIFFUSION 84 hapter 8 STATISTIAL ASSESSMENT OF NUMERIAL DIFFUSION The assessment of the performance of high-order numerical methods regarding the numerical diffusion introduced in the solution of the scalar transport

More information

Model Studies on Slag-Metal Entrainment in Gas Stirred Ladles

Model Studies on Slag-Metal Entrainment in Gas Stirred Ladles Model Studies on Slag-Metal Entrainment in Gas Stirred Ladles Anand Senguttuvan Supervisor Gordon A Irons 1 Approach to Simulate Slag Metal Entrainment using Computational Fluid Dynamics Introduction &

More information

Chemical Engineering Science

Chemical Engineering Science Chemical Engineering Science ] (]]]]) ]]] ]]] Contents lists available at SciVerse ScienceDirect Chemical Engineering Science journal homepage: www.elsevier.com/locate/ces Determination of breakage rates

More information

Kinetics of drop breakup during emulsification in turbulent flow

Kinetics of drop breakup during emulsification in turbulent flow Published in the Proceedings of the 4 th World Congress on Emulsions, Lyon, France, 3-6 October 26; Paper No. 2.2-34 Kinetics of drop breakup during emulsification in turbulent flow lavka Tcholakova, 1

More information

ME3560 Tentative Schedule Spring 2019

ME3560 Tentative Schedule Spring 2019 ME3560 Tentative Schedule Spring 2019 Week Number Date Lecture Topics Covered Prior to Lecture Read Section Assignment Prep Problems for Prep Probs. Must be Solved by 1 Monday 1/7/2019 1 Introduction to

More information

Models for Nucleation and Condensation on Nanoparticles

Models for Nucleation and Condensation on Nanoparticles PFAU X Models for Nucleation and Condensation on Nanoparticles Stefan Radl, 1 Mario Schriefl 2,3 1 TU Graz, Institute of Process and Particle Engineering 2 TU Graz, Institute of Electronics Tristan Reinisch,

More information

An open-source quadrature-based population balance solver for OpenFOAM

An open-source quadrature-based population balance solver for OpenFOAM Chemical and Biological Engineering Publications Chemical and Biological Engineering 2-2-2018 An open-source quadrature-based population balance solver for OpenFOAM Alberto Passalacqua Iowa State University,

More information

Stratified scavenging in two-stroke engines using OpenFOAM

Stratified scavenging in two-stroke engines using OpenFOAM Stratified scavenging in two-stroke engines using OpenFOAM Håkan Nilsson, Chalmers / Applied Mechanics / Fluid Dynamics 1 Acknowledgements I would like to thank Associate Professor Håkan Nilsson at the

More information

Solution of population balance equations in applications with fine particles: mathematical modeling and numerical schemes

Solution of population balance equations in applications with fine particles: mathematical modeling and numerical schemes Solution of population balance equations in applications with fine particles: mathematical modeling and numerical schemes Tan Trung Nguyen, Frédérique Laurent, Rodney Fox, Marc Massot To cite this version:

More information

APPLICATION OF THE CONDITIONAL QUADRATURE METHOD OF MOMENTS FOR THE SIMULATION OF COALESCENCE, BREAKUP AND MASS TRANSFER IN GAS-LIQUID STIRRED TANKS

APPLICATION OF THE CONDITIONAL QUADRATURE METHOD OF MOMENTS FOR THE SIMULATION OF COALESCENCE, BREAKUP AND MASS TRANSFER IN GAS-LIQUID STIRRED TANKS 14 th European Conference on Mixing Warszawa, 10-13 Septemer 2012 APPLICATION OF THE CONDITIONAL QUADRATURE METHOD OF MOMENTS FOR THE SIMULATION OF COALESCENCE, BREAKUP AND MASS TRANSFER IN GAS-LIQUID

More information

CFD in COMSOL Multiphysics

CFD in COMSOL Multiphysics CFD in COMSOL Multiphysics Mats Nigam Copyright 2016 COMSOL. Any of the images, text, and equations here may be copied and modified for your own internal use. All trademarks are the property of their respective

More information

ME3560 Tentative Schedule Fall 2018

ME3560 Tentative Schedule Fall 2018 ME3560 Tentative Schedule Fall 2018 Week Number 1 Wednesday 8/29/2018 1 Date Lecture Topics Covered Introduction to course, syllabus and class policies. Math Review. Differentiation. Prior to Lecture Read

More information

Chemical Engineering Journal

Chemical Engineering Journal Chemical Engineering Journal 225 (2013) 818 836 Contents lists available at SciVerse ScienceDirect Chemical Engineering Journal journal homepage: www.elsevier.com/locate/cej Euler Euler simulation of bubbly

More information

On the breakup of an air bubble injected into a fully developed turbulent flow. Part 2. Size PDF of the resulting daughter bubblesf

On the breakup of an air bubble injected into a fully developed turbulent flow. Part 2. Size PDF of the resulting daughter bubblesf On the breakup of an air bubble injected into a fully developed turbulent flow. Part 2. Size PDF of the resulting daughter bubblesf By C. MARTÍNEZ-BAZÁN, J. L. MONTAÑÉS AND J. C. LASHERAS Department of

More information

Remark By definition, an eigenvector must be a nonzero vector, but eigenvalue could be zero.

Remark By definition, an eigenvector must be a nonzero vector, but eigenvalue could be zero. Sec 6 Eigenvalues and Eigenvectors Definition An eigenvector of an n n matrix A is a nonzero vector x such that A x λ x for some scalar λ A scalar λ is called an eigenvalue of A if there is a nontrivial

More information

A Coupled VOF-Eulerian Multiphase CFD Model To Simulate Breaking Wave Impacts On Offshore Structures

A Coupled VOF-Eulerian Multiphase CFD Model To Simulate Breaking Wave Impacts On Offshore Structures A Coupled VOF-Eulerian Multiphase CFD Model To Simulate Breaking Wave Impacts On Offshore Structures Pietro Danilo Tomaselli Ph.d. student Section for Fluid Mechanics, Coastal and Maritime Engineering

More information

The CMFD code TransAT

The CMFD code TransAT TransAT Report Series Presentations The CMFD code TransAT Multiphase Flow Modelling ASCOMP Switzerland Edited by: Damel Lakehal Release date: Sep, 2014 References: TRS-P/ 05-2014 www.ascomp.ch - info@ascomp.ch

More information

Math 2410Q - 10 Elementary Differential Equations Summer 2017 Midterm Exam Review Guide

Math 2410Q - 10 Elementary Differential Equations Summer 2017 Midterm Exam Review Guide Math 410Q - 10 Elementary Differential Equations Summer 017 Mierm Exam Review Guide Math 410Q Mierm Exam Info: Covers Sections 1.1 3.3 7 questions in total Some questions will have multiple parts. 1 of

More information

= e t sin 2t. s 2 2s + 5 (s 1) Solution: Using the derivative of LT formula we have

= e t sin 2t. s 2 2s + 5 (s 1) Solution: Using the derivative of LT formula we have Math 090 Midterm Exam Spring 07 S o l u t i o n s. Results of this problem will be used in other problems. Therefore do all calculations carefully and double check them. Find the inverse Laplace transform

More information

A CFD-PBM-PMLM Integrated Model for the Gas Solid Flow Fields in Fluidized Bed Polymerization Reactors

A CFD-PBM-PMLM Integrated Model for the Gas Solid Flow Fields in Fluidized Bed Polymerization Reactors PARTICLE TECHNOLOGY AND FLUIDIZATION A CFD-PBM-PMLM Integrated Model for the Gas Solid Flow Fields in Fluidized Bed Polymerization Reactors Wei-Cheng Yan, Zheng-Hong Luo, Ying-Hua Lu, and Xiao-Dong Chen

More information

THINK FLUID DYNAMIX Mixing, Homogenization & Blend Time. THINK Fluid Dynamix

THINK FLUID DYNAMIX Mixing, Homogenization & Blend Time. THINK Fluid Dynamix THINK FLUID DYNAMIX Mixing, Homogenization & Blend Time Provided by: THINK Fluid Dynamix Am Pestalozziring 21 D-91058 Erlangen (Germany) Tel. +49 (0)9131 69098-00 http://www.think-fd.com CFD ENGINEERING

More information

Steps in the Finite Element Method. Chung Hua University Department of Mechanical Engineering Dr. Ching I Chen

Steps in the Finite Element Method. Chung Hua University Department of Mechanical Engineering Dr. Ching I Chen Steps in the Finite Element Method Chung Hua University Department of Mechanical Engineering Dr. Ching I Chen General Idea Engineers are interested in evaluating effects such as deformations, stresses,

More information

Multiphase Flow and Heat Transfer

Multiphase Flow and Heat Transfer Multiphase Flow and Heat Transfer ME546 -Sudheer Siddapureddy sudheer@iitp.ac.in Two Phase Flow Reference: S. Mostafa Ghiaasiaan, Two-Phase Flow, Boiling and Condensation, Cambridge University Press. http://dx.doi.org/10.1017/cbo9780511619410

More information

CFD Simulation of Nanosufur Crystallization Incorporating Population Balance Modeling

CFD Simulation of Nanosufur Crystallization Incorporating Population Balance Modeling Iranica Journal of Energy & Environment 4 (1) Special Issue on Nanotechnology: 36-42, 2013 ISSN 2079-2115 IJEE an Official Peer Reviewed Journal of Babol Noshirvani University of Technology DOI: 10.5829/idosi.ijee.2013.04.01.06

More information

A NEW DISPERSIVE AND DISTRIBUTIVE STATIC MIXER FOR THE COMPOUNDING OF HIGHLY VISCOUS MATERIALS

A NEW DISPERSIVE AND DISTRIBUTIVE STATIC MIXER FOR THE COMPOUNDING OF HIGHLY VISCOUS MATERIALS A NEW DISPERSIVE AND DISTRIBUTIVE STATIC MIXER FOR THE COMPOUNDING OF HIGHLY VISCOUS MATERIALS Paul Gramann and Bruce Davis, The Madison Group: PPRC. Tim Osswald, University of Wisconsin-Madison Chris

More information

CFD Simulation of Binary Fluidized Mixtures: Effects of Restitution Coefficient and Spatial Discretization Methods

CFD Simulation of Binary Fluidized Mixtures: Effects of Restitution Coefficient and Spatial Discretization Methods Engineering Conferences International ECI Digital Archives The 14th International Conference on Fluidization From Fundamentals to Products Refereed Proceedings 2013 CFD Simulation of Binary Fluidized Mixtures:

More information

Numerical Solutions of Population-Balance Models in Particulate Systems

Numerical Solutions of Population-Balance Models in Particulate Systems Outline Numerical Solutions of Population-Balance Models in Particulate Systems Shamsul Qamar Gerald Warnecke Institute for Analysis and Numerics Otto-von-Guericke University Magdeburg, Germany In collaboration

More information

Numerical Analysis of Unsteady Open Water Characteristics of Surface Piercing Propeller

Numerical Analysis of Unsteady Open Water Characteristics of Surface Piercing Propeller Third International Symposium on Marine Propulsors smp 13, Launceston, Tasmania, Australia, May 2013 Numerical Analysis of Unsteady Open Water Characteristics of Surface Piercing Propeller Kohei Himei

More information

NUMERICAL AND EXPERIMENTAL STUDIES OF LIQUID-LIQUID MIXING IN A KENICS STATIC MIXER

NUMERICAL AND EXPERIMENTAL STUDIES OF LIQUID-LIQUID MIXING IN A KENICS STATIC MIXER 14 th European Conference on Mixing Warszawa, 10-13 September 2012 NUMERICAL AND EXPERIMENTAL STUDIES OF LIQUID-LIQUID MIXING IN A KENICS STATIC MIXER Zdzislaw Jaworski a, Halina Murasiewicz a, a Institute

More information

On the breakup of an air bubble injected into a fully developed turbulent flow. Part 1. Breakup frequency

On the breakup of an air bubble injected into a fully developed turbulent flow. Part 1. Breakup frequency On the breakup of an air bubble injected into a fully developed turbulent flow. Part 1. Breakup frequency By C. MARTÍNEZ-BAZÁN, J. L. MONTAÑÉS AND J. C. LASHERAS Department of Mechanical and Aerospace

More information

Modeling Complex Flows! Direct Numerical Simulations! Computational Fluid Dynamics!

Modeling Complex Flows! Direct Numerical Simulations! Computational Fluid Dynamics! http://www.nd.edu/~gtryggva/cfd-course/! Modeling Complex Flows! Grétar Tryggvason! Spring 2011! Direct Numerical Simulations! In direct numerical simulations the full unsteady Navier-Stokes equations

More information

EFFECT OF LIQUID PHASE COMPRESSIBILITY ON MODELING OF GAS-LIQUID TWO-PHASE FLOWS USING TWO-FLUID MODEL

EFFECT OF LIQUID PHASE COMPRESSIBILITY ON MODELING OF GAS-LIQUID TWO-PHASE FLOWS USING TWO-FLUID MODEL EFFECT OF LIQUID PHASE COMPRESSIBILITY ON MODELING OF GAS-LIQUID TWO-PHASE FLOWS USING TWO-FLUID MODEL Vahid SHOKRI 1*,Kazem ESMAEILI 2 1,2 Department of Mechanical Engineering, Sari Branch, Islamic Azad

More information

On the Modeling and Simulation of a Laser-Induced Caviation Bubble

On the Modeling and Simulation of a Laser-Induced Caviation Bubble 1 On the Modeling and Simulation of a Laser-Induced Caviation Bubble Ali Zein Supervisor: Prof. Dr. Gerald Warnecke Co-supervisor: Dr. Maren Hantke Institut für Analysis und Numerik Otto-von-Guericke-Universität

More information

Received: 8 January 2018; Accepted: 22 February 2018; Published: 27 February 2018

Received: 8 January 2018; Accepted: 22 February 2018; Published: 27 February 2018 chemengineering Article Modelling of Bubbly Flow Using CFD-PBM Solver in OpenFOAM: Study of Local Population Balance Models and Extended Quadrature Method of Moments Applications Ehsan Askari 1, * ID,

More information

precipitation in a Confined Impinging Jets Reactor by means of

precipitation in a Confined Impinging Jets Reactor by means of Modeling of nanoparticles precipitation in a Confined Impinging Jets Reactor by means of Computational Fluid Dynamics E. Gavi, D.L. Marchisio, A.A. Barresi Politecnico di Torino, Department of Material

More information

Dispersed Multiphase Flow Modeling using Lagrange Particle Tracking Methods Dr. Markus Braun Ansys Germany GmbH

Dispersed Multiphase Flow Modeling using Lagrange Particle Tracking Methods Dr. Markus Braun Ansys Germany GmbH Dispersed Multiphase Flow Modeling using Lagrange Particle Tracking Methods Dr. Markus Braun Ansys Germany GmbH 2011 ANSYS, Inc., Markus Braun 1 Overview The Euler/Lagrange concept Breaking the barrier

More information

STUDY OF THE DISPERSED PHASE BEHAVIOR IN A PULSED COLUMN FOR OXALATE PRECIPITATION IN AN EMULSION

STUDY OF THE DISPERSED PHASE BEHAVIOR IN A PULSED COLUMN FOR OXALATE PRECIPITATION IN AN EMULSION Ninth International Conference on CFD in the Minerals and Process Industries CSIRO, Melbourne, Australia -2 December 22 STUDY OF THE DISPERSED PHASE BEHAVIOR IN A PULSED COLUMN FOR OXALATE PRECIPITATION

More information

Hybrid CFD-Multizonal Modelling of Polymorphs and Agglomeration Phenomena in Crystallisation Processes

Hybrid CFD-Multizonal Modelling of Polymorphs and Agglomeration Phenomena in Crystallisation Processes Hybrid CFD-Multizonal Modelling of Polymorphs and Agglomeration Phenomena in Crystallisation Processes Sean K. Bermingham 1, Stefania Trivellato 1,2, Maddalena Vernier 1,2, Fabrizio Bezzo 2,* 1 Process

More information

1. INTRODUCTION TO CFD SPRING 2019

1. INTRODUCTION TO CFD SPRING 2019 1. INTRODUCTION TO CFD SPRING 2019 1.1 What is computational fluid dynamics? 1.2 Basic principles of CFD 1.3 Stages in a CFD simulation 1.4 Fluid-flow equations 1.5 The main discretisation methods Appendices

More information

Equilibrium of Deformable Body

Equilibrium of Deformable Body Equilibrium of Deformable Body Review Static Equilibrium If a body is in static equilibrium under the action applied external forces, the Newton s Second Law provides us six scalar equations of equilibrium

More information

The effect of momentum flux ratio and turbulence model on the numerical prediction of atomization characteristics of air assisted liquid jets

The effect of momentum flux ratio and turbulence model on the numerical prediction of atomization characteristics of air assisted liquid jets ILASS Americas, 26 th Annual Conference on Liquid Atomization and Spray Systems, Portland, OR, May 204 The effect of momentum flux ratio and turbulence model on the numerical prediction of atomization

More information

Investigation of Flow Profile in Open Channels using CFD

Investigation of Flow Profile in Open Channels using CFD Investigation of Flow Profile in Open Channels using CFD B. K. Gandhi 1, H.K. Verma 2 and Boby Abraham 3 Abstract Accuracy of the efficiency measurement of a hydro-electric generating unit depends on the

More information

Population Balance Modeling

Population Balance Modeling Population Balance Modeling JMBC-Particle Technology 2015 Pieter Vonk Advanced Chemical Engineering Solutions March 6 th, 2015 Overview Introduction & Industrial challenges Granulation processes Crystallization

More information

Studies on flow through and around a porous permeable sphere: II. Heat Transfer

Studies on flow through and around a porous permeable sphere: II. Heat Transfer Studies on flow through and around a porous permeable sphere: II. Heat Transfer A. K. Jain and S. Basu 1 Department of Chemical Engineering Indian Institute of Technology Delhi New Delhi 110016, India

More information

Remark 1 By definition, an eigenvector must be a nonzero vector, but eigenvalue could be zero.

Remark 1 By definition, an eigenvector must be a nonzero vector, but eigenvalue could be zero. Sec 5 Eigenvectors and Eigenvalues In this chapter, vector means column vector Definition An eigenvector of an n n matrix A is a nonzero vector x such that A x λ x for some scalar λ A scalar λ is called

More information

MASS TRANSFER EFFICIENCY IN SX MIXERS

MASS TRANSFER EFFICIENCY IN SX MIXERS MASS TRANSFER EFFICIENCY IN SX MIXERS By R. Sheinman, Y. Kootov, L. Braginsy, J. Riordan, M. Vancas Turbulent Technologies Ltd. Israel Tenova Bateman Advanced Technologies Ltd. Israel, Australia ABSTRACT

More information

CFD ANALYSIS OF THE CORK-PHENOLIC HEAT SHIELD OF A REENTRY CUBESAT IN ARC-JET CONDITIONS INCLUDING ABLATION AND PYROLYSIS

CFD ANALYSIS OF THE CORK-PHENOLIC HEAT SHIELD OF A REENTRY CUBESAT IN ARC-JET CONDITIONS INCLUDING ABLATION AND PYROLYSIS CFD ANALYSIS OF THE CORK-PHENOLIC HEAT SHIELD OF A REENTRY CUBESAT IN ARC-JET CONDITIONS INCLUDING ABLATION AND PYROLYSIS 15 th International Planetary Probe Workshop 14/06/2018 Ata Onur Başkaya 1 A. Turchi

More information

Forced Convection: Inside Pipe HANNA ILYANI ZULHAIMI

Forced Convection: Inside Pipe HANNA ILYANI ZULHAIMI + Forced Convection: Inside Pipe HANNA ILYANI ZULHAIMI + OUTLINE u Introduction and Dimensionless Numbers u Heat Transfer Coefficient for Laminar Flow inside a Pipe u Heat Transfer Coefficient for Turbulent

More information

Solution of population balance equations in applications with fine particles: Mathematical modeling and numerical schemes

Solution of population balance equations in applications with fine particles: Mathematical modeling and numerical schemes Chemical and Biological Engineering Publications Chemical and Biological Engineering 11-15-216 Solution of population balance equations in applications with fine particles: Mathematical modeling and numerical

More information

THERMAL ANALYSIS OF SECOND STAGE GAS TURBINE ROTOR BLADE

THERMAL ANALYSIS OF SECOND STAGE GAS TURBINE ROTOR BLADE Polymers Research Journal ISSN: 195-50 Volume 6, Number 01 Nova Science Publishers, Inc. THERMAL ANALYSIS OF SECOND STAGE GAS TURBINE ROTOR BLADE E. Poursaeidi, M. Mohammadi and S. S. Khamesi University

More information

Classification of partial differential equations and their solution characteristics

Classification of partial differential equations and their solution characteristics 9 TH INDO GERMAN WINTER ACADEMY 2010 Classification of partial differential equations and their solution characteristics By Ankita Bhutani IIT Roorkee Tutors: Prof. V. Buwa Prof. S. V. R. Rao Prof. U.

More information

Simulations with Dispersive Mixtures Model

Simulations with Dispersive Mixtures Model Simulations with Dispersive Mixtures Model P.J.A. Janssen, P.D. Anderson & G.W.M. Peters MT03.05 May 12, 2003 1 Introduction The combination of two different materials in a blend can yield interesting

More information

CFD SIMULATIONS OF SINGLE AND TWO-PHASE MIXING PROESSES IN STIRRED TANK REACTORS

CFD SIMULATIONS OF SINGLE AND TWO-PHASE MIXING PROESSES IN STIRRED TANK REACTORS CFD SIMULATIONS OF SINGLE AND TWO-PHASE MIXING PROESSES IN STIRRED TANK REACTORS Hristo Vesselinov Hristov, Stephan Boden, Günther Hessel, Holger Kryk, Horst-Michael Prasser, and Wilfried Schmitt. Introduction

More information

Maximum Stable Drop Diameter in Stirred Dispersions

Maximum Stable Drop Diameter in Stirred Dispersions Maximum Stable Drop Diameter in Stirred Dispersions Andrew Lam, A. N. Sathyagal, Sanjeev Kumar, and D. Ramkrishna School of Chemical Engineering, Purdue University, West Lafayette, IN 47907 Transient drop-size

More information

Design and Temperature Analysis on Heat Exchanger with TEMA Standard Codes

Design and Temperature Analysis on Heat Exchanger with TEMA Standard Codes Design and Temperature Analysis on Heat Exchanger with TEMA Standard Codes Adesh Dhope 1, Omkar Desai 2, Prof. V. Verma 3 1 Student, Department of Mechanical Engineering,Smt. KashibaiNavale college of

More information

CDF CALCULATION OF RADIAL FAN STAGE WITH VARIABLE LENGTH OF SEMI BLADES SVOČ FST 2012

CDF CALCULATION OF RADIAL FAN STAGE WITH VARIABLE LENGTH OF SEMI BLADES SVOČ FST 2012 CDF CALCULATION OF RADIAL FAN STAGE WITH VARIABLE LENGTH OF SEMI BLADES SVOČ FST 2012 Ing. Roman Gášpár, Západočeská univerzita v Plzni, Univerzitní 8, 306 14 Plzeň Česká republika NOMENCLATURE A area

More information

Experimental and Numerical Investigation of Two- Phase Flow through Enlarging Singularity

Experimental and Numerical Investigation of Two- Phase Flow through Enlarging Singularity Purdue University Purdue e-pubs International Refrigeration and Air Conditioning Conference School of Mechanical Engineering 212 Experimental and Numerical Investigation of Two- Phase Flow through Enlarging

More information

CFD-Modeling of Boiling Processes

CFD-Modeling of Boiling Processes CFD-Modeling of Boiling Processes 1 C. Lifante 1, T. Frank 1, A. Burns 2, E. Krepper 3, R. Rzehak 3 conxita.lifante@ansys.com 1 ANSYS Germany, 2 ANSYS UK, 3 HZDR Outline Introduction Motivation Mathematical

More information

Institute of Structural Engineering Page 1. Method of Finite Elements I. Chapter 2. The Direct Stiffness Method. Method of Finite Elements I

Institute of Structural Engineering Page 1. Method of Finite Elements I. Chapter 2. The Direct Stiffness Method. Method of Finite Elements I Institute of Structural Engineering Page 1 Chapter 2 The Direct Stiffness Method Institute of Structural Engineering Page 2 Direct Stiffness Method (DSM) Computational method for structural analysis Matrix

More information

On the Breakup of Fluid Particles in Turbulent Flows

On the Breakup of Fluid Particles in Turbulent Flows On the Breakup of Fluid Particles in Turbulent Flows Ronnie Andersson and Bengt Andersson Dept. of Chemical and Biological Engineering, Chalmers University of Technology, SE-41296, Gothenburg, Sweden DOI

More information

Lecture Note 1: Background

Lecture Note 1: Background ECE5463: Introduction to Robotics Lecture Note 1: Background Prof. Wei Zhang Department of Electrical and Computer Engineering Ohio State University Columbus, Ohio, USA Spring 2018 Lecture 1 (ECE5463 Sp18)

More information

Commissariat à l Energie Atomique - Saclay Department of Nuclear Energy Fluid Modeling and Simulation. MIT, November 3rd, 2008

Commissariat à l Energie Atomique - Saclay Department of Nuclear Energy Fluid Modeling and Simulation. MIT, November 3rd, 2008 ON THE NUMERICAL SIMULATION OF GENERAL MULTI-FIELD TWO-PHASE FLOW MODELS Anela KUMBARO Commissariat à l Energie Atomique - Saclay Department of Nuclear Energy Fluid Modeling and Simulation MIT, November

More information

Best Practice Guidelines for Computational Turbulent Dispersed Multiphase Flows. René V.A. Oliemans

Best Practice Guidelines for Computational Turbulent Dispersed Multiphase Flows. René V.A. Oliemans Best Practice Guidelines for Computational Turbulent Dispersed Multiphase Flows René V.A. Oliemans ERCOFTAC Seminar, Innventia, Stockholm, June 7-8, 2011 1 Vermelding onderdeel organisatie Department of

More information