The Microfluidics Module User's Guide

Total Page:16

File Type:pdf, Size:1020Kb

The Microfluidics Module User's Guide Microfluidics Module User’s Guide Microfluidics Module User’s Guide © 1998–2018 COMSOL Protected by patents listed on www.comsol.com/patents, and U.S. Patents 7,519,518; 7,596,474; 7,623,991; 8,457,932; 8,954,302; 9,098,106; 9,146,652; 9,323,503; 9,372,673; and 9,454,625. Patents pending. This Documentation and the Programs described herein are furnished under the COMSOL Software License Agreement (www.comsol.com/comsol-license-agreement) and may be used or copied only under the terms of the license agreement. COMSOL, the COMSOL logo, COMSOL Multiphysics, COMSOL Desktop, COMSOL Server, and LiveLink are either registered trademarks or trademarks of COMSOL AB. All other trademarks are the property of their respective owners, and COMSOL AB and its subsidiaries and products are not affiliated with, endorsed by, sponsored by, or supported by those trademark owners. For a list of such trademark owners, see www.comsol.com/trademarks. Version: COMSOL 5.4 Contact Information Visit the Contact COMSOL page at www.comsol.com/contact to submit general inquiries, contact Technical Support, or search for an address and phone number. You can also visit the Worldwide Sales Offices page at www.comsol.com/contact/offices for address and contact information. If you need to contact Support, an online request form is located at the COMSOL Access page at www.comsol.com/support/case. Other useful links include: • Support Center: www.comsol.com/support • Product Download: www.comsol.com/product-download • Product Updates: www.comsol.com/support/updates • COMSOL Blog: www.comsol.com/blogs • Discussion Forum: www.comsol.com/community • Events: www.comsol.com/events • COMSOL Video Gallery: www.comsol.com/video • Support Knowledge Base: www.comsol.com/support/knowledgebase Part number: CM021901 Contents Chapter 1: Introduction About the Microfluidics Module 14 About Microfluidics . 14 About the Microfluidics Module . 15 The Microfluidics Module Physics Interface Guide . 15 Coupling to Other Physics Interfaces . 18 The Microfluidics Module Study Capabilities by Physics Interface . 19 Common Physics Interface and Feature Settings and Nodes . 20 The Liquids and Gases Materials Database . 21 Where Do I Access the Documentation and Application Libraries? . 21 Overview of the User’s Guide 25 Chapter 2: Microfluidic Modeling Physics and Scaling in Microfluidics 28 Dimensionless Numbers in Microfluidics 31 Dimensionless Numbers Important for Solver Stability . 31 Other Dimensionless Numbers . 33 Modeling Microfluidic Fluid Flows 36 Selecting the Right Physics Interface. 36 Single-Phase Flow . 37 Multiphase Flow . 39 Porous Media Flow . 40 The Relationship Between the Physics Interfaces . 42 Modeling Coupled Phenomena in Microfluidics 44 Chemical Transport and Reactions . 44 Electrohydrodynamics . 46 CONTENTS | 3 Heat Transfer . 53 Coupling to Other Physics Interfaces . 55 Modeling Rarefied Gas Flows 56 The Flow Regimes . 56 Slip Flow . 57 References for the Theory of Microfluidics . 58 Chapter 3: Single-Phase Flow Interfaces The Laminar Flow and Creeping Flow Interfaces 60 The Creeping Flow Interface . 60 The Laminar Flow Interface . 61 Fluid Properties . 66 Volume Force . 69 Initial Values . 69 Wall . 70 Inlet. 72 Outlet . 75 Symmetry . 77 Open Boundary . 78 Boundary Stress . 78 Periodic Flow Condition . 80 Flow Continuity . 81 Pressure Point Constraint . 81 Point Mass Source . 81 Line Mass Source. 82 Gravity . 83 Theory for the Single-Phase Flow Interfaces 85 General Single-Phase Flow Theory . 86 Compressible Flow . 88 Weakly Compressible Flow . 88 The Mach Number Limit . 88 Incompressible Flow . 89 The Reynolds Number. 90 4 | CONTENTS Non-Newtonian Flow . 91 Theory for the Wall Boundary Condition . 93 Prescribing Inlet and Outlet Conditions . 97 Mass Flow . 98 Fully Developed Flow (Inlet) . 100 Fully Developed Flow (Outlet). 101 No Viscous Stress . 102 Normal Stress Boundary Condition . 103 Pressure Boundary Condition . 103 Mass Sources for Fluid Flow . 105 Numerical Stability — Stabilization Techniques for Fluid Flow . 107 Solvers for Laminar Flow . 109 Pseudo Time Stepping for Laminar Flow Models . 111 Discontinuous Galerkin Formulation . 113 Particle Tracing in Fluid Flow . 113 References for the Single-Phase Flow, Laminar Flow Interfaces . 114 Chapter 4: Multiphase Flow, Two-Phase Flow Interfaces The Laminar Two-Phase Flow, Level Set and Laminar Two-Phase Flow, Phase Field Interfaces 118 The Laminar Two-Phase Flow, Level Set Interface . 118 T he Two-Phase Flow, Level Set Coupling Feature . 119 The Wetted Wall Coupling Feature. 122 The Laminar Two-Phase Flow, Phase Field Interface . 124 The Two-Phase Flow, Phase Field Coupling Feature. 124 Domain, Boundary, Point, and Pair Nodes for the Laminar Flow, Two-Phase, Level Set and Phase Field Interfaces. 127 The Laminar Three-Phase Flow, Phase Field Interface 129 The Laminar Three-Phase Flow, Phase Field Interface . 129 The Three-Phase Flow, Phase Field Coupling Feature . 130 Domain, Boundary, Point, and Pair Nodes for the Laminar Three-Phase Flow, Phase Field Interface . 132 CONTENTS | 5 The Laminar Two-Phase Flow, Moving Mesh Interface 134 Select Laminar Flow Properties . 135 Deforming Domain . 135 Fluid-Fluid Interface . 136 External Fluid Interface . 137 Wall-Fluid Interface . 139 Theory for the Level Set and Phase Field Interfaces 141 Level Set and Phase Field Equations . 141 Conservative and Nonconservative Formulations . 144 Phase Initialization . 145 Numerical Stabilization . 146 References for the Level Set and Phase Field Interfaces . 146 Theory for the Three-Phase Flow, Phase Field Interface 148 Governing Equations of the Three-Phase Flow, Phase Field Interface . 148 Reference for the Three-Phase Flow, Phase Field Interface . 151 Theory for the Two-Phase Flow, Moving Mesh Interface 152 Domain Level Fluid Flow . 152 About the Moving Mesh . 153 About the Fluid Interface Boundary Conditions . 154 Wall-Fluid Interface Boundary Conditions . 158 References for the Two-Phase Flow, Moving Mesh Interface . 159 Chapter 5: Mathematics, Moving Interfaces The Level Set Interface 162 Domain, Boundary, and Pair Nodes for the Level Set Interface . 163 Level Set Model . 164 Initial Values . 164 Inlet. 165 Initial Interface. 166 No Flow . 166 Thin Barrier. 166 6 | CONTENTS The Phase Field Interface 167 Domain, Boundary, and Pair Nodes for the Phase Field Interface. 168 Phase Field Model . 169 Initial Values . 170 Inlet. 171 Initial Interface. 171 Wetted Wall . 171 Interior Wetted Wall . 172 The Ternary Phase Field Interface 173 Domain, Boundary, and Pair Nodes for the Ternary Phase Field Interface. 174 Mixture Properties . 174 Initial Values . 176 Inlet. 176 Outlet . 176 Symmetry . 177 Wetted Wall . 177 Theory for the Level Set Interface 179 The Level Set Method . 179 Conservative and Nonconservative Form . 181 Initializing the Level Set Function . 182 Variables For Geometric Properties of the Interface . 182 Reference for the Level Set Interface . 183 Theory for the Phase Field Interface 184 About the Phase Field Method. 184 The Equations for the Phase Field Method . 184 Conservative and Nonconservative Forms . 186 Additional Sources of Free Energy . 187 Initializing the Phase Field Function . 187 Variables and Expressions . 188 Reference for the Phase Field Interface . 188 Theory for the Ternary Phase Field Interface 189 About the Phase Field Method. 189 The Equations of the Ternary Phase Field Method . 189 CONTENTS | 7 Reference for the Ternary Phase Field Interface . 191 Chapter 6: Porous Media Flow Interfaces The Darcy’s Law Interface 194 Domain, Boundary, Edge, Point, and Pair Nodes for the Darcy’s Law Interface . 195 Fluid and Matrix Properties . 197 Mass Source . 198 Initial Values . 198 Pressure . 198 Mass Flux. 199 Inlet. 199 Symmetry . 200 No Flow . 200 Flux Discontinuity . 200 Outlet . 201 Cross Section . 201 Thickness. 202 The Brinkman Equations Interface 203 Domain, Boundary, Point, and Pair Nodes for the Brinkman Equations Interface. 205 Fluid and Matrix Properties . 206 Forchheimer Drag . 207 Mass Source . ..
Recommended publications
  • Glossary Physics (I-Introduction)
    1 Glossary Physics (I-introduction) - Efficiency: The percent of the work put into a machine that is converted into useful work output; = work done / energy used [-]. = eta In machines: The work output of any machine cannot exceed the work input (<=100%); in an ideal machine, where no energy is transformed into heat: work(input) = work(output), =100%. Energy: The property of a system that enables it to do work. Conservation o. E.: Energy cannot be created or destroyed; it may be transformed from one form into another, but the total amount of energy never changes. Equilibrium: The state of an object when not acted upon by a net force or net torque; an object in equilibrium may be at rest or moving at uniform velocity - not accelerating. Mechanical E.: The state of an object or system of objects for which any impressed forces cancels to zero and no acceleration occurs. Dynamic E.: Object is moving without experiencing acceleration. Static E.: Object is at rest.F Force: The influence that can cause an object to be accelerated or retarded; is always in the direction of the net force, hence a vector quantity; the four elementary forces are: Electromagnetic F.: Is an attraction or repulsion G, gravit. const.6.672E-11[Nm2/kg2] between electric charges: d, distance [m] 2 2 2 2 F = 1/(40) (q1q2/d ) [(CC/m )(Nm /C )] = [N] m,M, mass [kg] Gravitational F.: Is a mutual attraction between all masses: q, charge [As] [C] 2 2 2 2 F = GmM/d [Nm /kg kg 1/m ] = [N] 0, dielectric constant Strong F.: (nuclear force) Acts within the nuclei of atoms: 8.854E-12 [C2/Nm2] [F/m] 2 2 2 2 2 F = 1/(40) (e /d ) [(CC/m )(Nm /C )] = [N] , 3.14 [-] Weak F.: Manifests itself in special reactions among elementary e, 1.60210 E-19 [As] [C] particles, such as the reaction that occur in radioactive decay.
    [Show full text]
  • (2020) Role of All Jet Drops in Mass Transfer from Bursting Bubbles
    PHYSICAL REVIEW FLUIDS 5, 033605 (2020) Role of all jet drops in mass transfer from bursting bubbles Alexis Berny,1,2 Luc Deike ,2,3 Thomas Séon,1 and Stéphane Popinet 1 1Sorbonne Université, CNRS, UMR 7190, Institut Jean le Rond ࢚’Alembert, F-75005 Paris, France 2Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, New Jersey 08544, USA 3Princeton Environmental Institute, Princeton University, Princeton, New Jersey 08544, USA (Received 12 September 2019; accepted 13 February 2020; published 10 March 2020) When a bubble bursts at the surface of a liquid, it creates a jet that may break up and produce jet droplets. This phenomenon has motivated numerous studies due to its multiple applications, from bubbles in a glass of champagne to ocean/atmosphere interactions. We simulate the bursting of a single bubble by direct numerical simulations of the axisymmetric two-phase liquid-gas Navier-Stokes equations. We describe the number, size, and velocity of all the ejected droplets, for a wide range of control parameters, defined as nondimensional numbers, the Laplace number which compares capillary and viscous forces and the Bond number which compares gravity and capillarity. The total vertical momentum of the ejected droplets is shown to follow a simple scaling relationship with a primary dependency on the Laplace number. Through a simple evaporation model, coupled with the dynamics obtained numerically, it is shown that all the jet droplets (up to 14) produced by the bursting event must be taken into account as they all contribute to the total amount of evaporated water. A simple scaling relationship is obtained for the total amount of evaporated water as a function of the bubble size and fluid properties.
    [Show full text]
  • DOGAN-DISSERTATION-2018.Pdf
    MM SCALE 3D SILICA WAVEGUIDE FABRICATION TECHNIQUE FOR SOLAR ENERGY CONCENTRATION SYSTEMS A Dissertation by YUSUF DOGAN Submitted to the Office of Graduate and Professional Studies of Texas A&M University in partial fulfillment of the requirements for the degree of DOCTOR OF PHILOSOPHY Chair of Committee, Christi K. Madsen Committee Members, Ohannes Eknoyan Mehrdad Ehsani Alexey Belyanin Head of Department, Miroslav M. Begovic December 2018 Major Subject: Electrical Engineering Copyright 2018 Yusuf Dogan ABSTRACT The overreaching goal of this dissertation research is to achieve fabrication of mm scale waveguide structure for solar energy concentration systems. In the proposed design, a high concentrator photovoltaics (HCPV) with 1000x concentration and >90 % optical efficiency is targeted. The concept consists of three components: lens array, coupler and waveguiding section. Fused silica is assigned as the waveguide material, since it has a high optical transmission and low absorption and it provides the scalability and low manufacturing cost sought in the fabrication technique. To acquire the desired shape in waveguide, femtosecond laser irradiation followed by chemical etching (FLICE) process is used for fused silica light pipes fabrication. Among two widely used etchants potassium hydroxide (KOH) is preferred over hydrogen fluoride (HF) regarding its higher selectivity. FLICE process parameters have been optimized to achieve higher selectivity, higher manufacturing speed and better surface quality. The minimum number of overlapped pulses is reduced to 3.2 which corresponds to 1.25 m/s writing speed at given 2 MHz laser pulse repetition rate at given 2 µm spot size and an acceptable filtered surface roughness of 400 nm for 1 mm2 area is achieved.
    [Show full text]
  • A Novel Momentum-Conserving, Mass-Momentum Consistent Method for Interfacial flows Involving Large Density Contrasts Sagar Pal, Daniel Fuster, St´Ephanezaleski
    Highlights A novel momentum-conserving, mass-momentum consistent method for interfacial flows involving large density contrasts Sagar Pal, Daniel Fuster, St´ephaneZaleski • Conservative formulation of Navier Stokes with interfaces using the Volume- of-Fluid method. • Geometrical interface and flux reconstructions on a twice finer grid en- abling discrete consistency between mass and momentum on staggered uniform Cartesian grids. • Conservative direction-split time integration of geometric fluxes in 3D, enabling discrete conservation of mass and momentum. • Quantitative comparisons with standard benchmarks for flow configura- tions involving large density contrasts. • High degree of robustness and stability for complex turbulent interfacial flows, demonstrated using the case of a falling raindrop. arXiv:2101.04142v1 [physics.comp-ph] 11 Jan 2021 A novel momentum-conserving, mass-momentum consistent method for interfacial flows involving large density contrasts Sagar Pala,∗, Daniel Fustera, St´ephaneZaleskia aInstitut Jean le Rond @'Alembert, Sorbonne Universit´eand CNRS, Paris, France Abstract We propose a novel method for the direct numerical simulation of interfacial flows involving large density contrasts, using a Volume-of-Fluid method. We employ the conservative formulation of the incompressible Navier-Stokes equa- tions for immiscible fluids in order to ensure consistency between the discrete transport of mass and momentum in both fluids. This strategy is implemented on a uniform 3D Cartesian grid with a staggered configuration of primitive vari- ables, wherein a geometrical reconstruction based mass advection is carried out on a grid twice as fine as that for the momentum. The implementation is in the spirit of Rudman (1998) [41], coupled with the extension of the direction-split time integration scheme of Weymouth & Yue (2010) [46] to that of conservative momentum transport.
    [Show full text]
  • Rotational Electrophoresis of Striped Metallic Microrods
    PHYSICAL REVIEW E 75, 011503 ͑2007͒ Rotational electrophoresis of striped metallic microrods Klint A. Rose,1,2 John A. Meier,1 George M. Dougherty,2 and Juan G. Santiago1 1Department of Mechanical Engineering, Stanford University, Stanford, California 94305, USA 2Center for Micro and Nanotechnology, Lawrence Livermore National Laboratory, Livermore, California 94550, USA ͑Received 14 December 2005; revised manuscript received 15 November 2006; published 17 January 2007͒ Analytical models are developed for the translation and rotation of metallic rods in a uniform electric field. The limits of thin and thick electric double layers are considered. These models include the effect of stripes of different metals along the length of the particle. Modeling results are compared to experimental measurements for metallic rods. Experiments demonstrate the increased alignment of particles with increasing field strength and the increase in degree of alignment of thin versus thick electric double layers. The metal rods polarize in the applied field and align parallel to its direction due to torques on the polarized charge. The torque due to polarization has a second-order dependence on the electric field strength. The particles are also shown to have an additional alignment torque component due to nonuniform densities along their length. The orientation distributions of dilute suspensions of particles are also shown to agree well with results predicted by a rotational convective-diffusion equation. DOI: 10.1103/PhysRevE.75.011503 PACS number͑s͒: 82.45.Ϫh, 82.70.Dd I. INTRODUCTION characteristic particle length scale; ͑ii͒ zeta potential is uni- form over the surface of the particle; ͑iii͒ applied field, Eϱ, Rod-shaped metal particles with 200 nm to 4 ␮m diam- does not disturb the charge distribution in the electric double eters and lengths of 2–40 ␮m can be grown as homogenous layer ͑EDL͒; ͑iv͒ the particle is rigid and dielectric ͑such that ͓ ͔ ␧ Ӷ␧ ␧ ␧ wires or with stripes of varying materials 1,2 .
    [Show full text]
  • Experimental and Computational Analysis of Bubble Generation Combining Oscillating Electric Fields and Microfluidics
    Experimental and computational analysis of bubble generation combining oscillating electric fields and microfluidics A thesis submitted in partial fulfilment of the requirements for the degree of Doctor of Philosophy By Anjana Kothandaraman Supervised by: Professor Mohan Edirisinghe And Professor Yiannis Ventikos Department of Mechanical Engineering University College London Torrington Place, London WC1E 7JE United Kingdom December, 2017 1 | P a g e Declaration I, Anjana Kothandaraman, confirm that the work presented in this thesis is my own. Where information has been derived from other sources, I confirm that this has been indicated in the thesis. -------------------------------------- Anjana Kothandaraman 2 | P a g e Abstract Microbubbles generated by microfluidic techniques have gained substantial interest in various fields such as food engineering, biosensors and the biomedical field. Recently, T-Junction geometries have been utilised for this purpose due to the exquisite control they offer over the processing parameters. However, this only relies on pressure driven flows; therefore bubble size reduction is limited, especially for very viscous solutions. The idea of combining microfluidics with electrohydrodynamics has recently been investigated using DC fields, however corona discharge was recorded at very high voltages with detrimental effects on the bubble size and stability. In order to overcome the aforementioned limitation, a novel set-up to superimpose an AC oscillation on a DC field is presented in this work with the aim of introducing additional parameters such as frequency, AC voltage and waveform type to further control bubble size, capitalising on well documented bubble resonance phenomena and properties. Firstly, the effect of applied AC voltage magnitude and the applied frequency were investigated.
    [Show full text]
  • 1 Fluid Flow Outline Fundamentals of Rheology
    Fluid Flow Outline • Fundamentals and applications of rheology • Shear stress and shear rate • Viscosity and types of viscometers • Rheological classification of fluids • Apparent viscosity • Effect of temperature on viscosity • Reynolds number and types of flow • Flow in a pipe • Volumetric and mass flow rate • Friction factor (in straight pipe), friction coefficient (for fittings, expansion, contraction), pressure drop, energy loss • Pumping requirements (overcoming friction, potential energy, kinetic energy, pressure energy differences) 2 Fundamentals of Rheology • Rheology is the science of deformation and flow – The forces involved could be tensile, compressive, shear or bulk (uniform external pressure) • Food rheology is the material science of food – This can involve fluid or semi-solid foods • A rheometer is used to determine rheological properties (how a material flows under different conditions) – Viscometers are a sub-set of rheometers 3 1 Applications of Rheology • Process engineering calculations – Pumping requirements, extrusion, mixing, heat transfer, homogenization, spray coating • Determination of ingredient functionality – Consistency, stickiness etc. • Quality control of ingredients or final product – By measurement of viscosity, compressive strength etc. • Determination of shelf life – By determining changes in texture • Correlations to sensory tests – Mouthfeel 4 Stress and Strain • Stress: Force per unit area (Units: N/m2 or Pa) • Strain: (Change in dimension)/(Original dimension) (Units: None) • Strain rate: Rate
    [Show full text]
  • Introduction to the CFD Module
    INTRODUCTION TO CFD Module Introduction to the CFD Module © 1998–2018 COMSOL Protected by patents listed on www.comsol.com/patents, and U.S. Patents 7,519,518; 7,596,474; 7,623,991; 8,457,932; 8,954,302; 9,098,106; 9,146,652; 9,323,503; 9,372,673; and 9,454,625. Patents pending. This Documentation and the Programs described herein are furnished under the COMSOL Software License Agreement (www.comsol.com/comsol-license-agreement) and may be used or copied only under the terms of the license agreement. COMSOL, the COMSOL logo, COMSOL Multiphysics, COMSOL Desktop, COMSOL Server, and LiveLink are either registered trademarks or trademarks of COMSOL AB. All other trademarks are the property of their respective owners, and COMSOL AB and its subsidiaries and products are not affiliated with, endorsed by, sponsored by, or supported by those trademark owners. For a list of such trademark owners, see www.comsol.com/trademarks. Version: COMSOL 5.4 Contact Information Visit the Contact COMSOL page at www.comsol.com/contact to submit general inquiries, contact Technical Support, or search for an address and phone number. You can also visit the Worldwide Sales Offices page at www.comsol.com/contact/offices for address and contact information. If you need to contact Support, an online request form is located at the COMSOL Access page at www.comsol.com/support/case. Other useful links include: • Support Center: www.comsol.com/support • Product Download: www.comsol.com/product-download • Product Updates: www.comsol.com/support/updates •COMSOL Blog: www.comsol.com/blogs • Discussion Forum: www.comsol.com/community •Events: www.comsol.com/events • COMSOL Video Gallery: www.comsol.com/video • Support Knowledge Base: www.comsol.com/support/knowledgebase Part number: CM021302 Contents Introduction .
    [Show full text]
  • Lecture 4. Electrokinetics and Electrohydrodynamics
    Lecture 4. Electrokinetics and Electrohydrodynamics Electrophoresis Electroosmosis Capillary Electrophoresis (CE) DEP preconcentrator Dielectrophoresis (DEP) AC Electroosmosis Electrophoresis • An ion with charge q in an electric field E moves toward opposite electrode due to Coulombic force. A steady-state speed is reached when the accelerating force equals the frictional force generated by the medium. VDC - - Medium Anode + + Cathode FE = qE FFriction = f ⋅uE = 6πηr ⋅uE q u q u = ⋅ E µ = E = E 6πηr E E 6πηr Electrophoretic mobility is a function of viscosity and charge to radius ratio. Applications of Electrophoresis • Many important biological molecules such as amino acids, peptides, proteins, nucleotides, and nucleic acids, possess ionisable groups (COOH, NH2, phosphates) and, therefore, at any given pH, exist in solution as electically charged species either as cations (+) or anions (-). DNA is negatively charged because the phosphates that form the sugar-phosphate backbone of a DNA molecule have a negative charge. • Depending on the nature of the net charge, the charged particles will migrate either to the cathode or to the anode at different rates. Electrophoresis has been applied to a variety of analytical separation problems. – Amino acids – Peptides, proteins (enzymes, hormones, antibodies) – Nucleic acids (DNA, RNA), nucleotides – Drugs, vitamins, carbohydrates – Inorganic cations and anions Gel Electrophoresis • Gel electrophoresis is a separation technique widely used for the separation of nucleic acids and proteins. The separation depends upon electrophoresis and filtering effect by gel (molecular sieve). Under electric field, charged macromolecules are forced to move through the gel with pores. • Their rates of migration depend on the field strength, size and shape of the molecules, hydrophobicity of the samples, and on the ionic strength, and pH, temperature of the buffer in which the molecules are moving.
    [Show full text]
  • Electrokinetics and Electrohydrodynamics in Microsystems Invited Lecturers
    TIME TABLE TIME Monday Tuesday Wednesday Thursday Friday June 22 June 23 June 24 June 25 June 26 9.00 - 9.45 Registration Morgan Mugele Bazant Chen 9.45 - 10.30 Ramos Mugele Bazant Green Chen 11.00 - 11.45 Morgan Bazant Green Chen Ramos 11.45 - 12.30 Mugele Green Chen Ramos Ramos 14.30 - 15.15 Bazant Chen Ramos Morgan 15.15 - 16.00 Green Ramos Morgan Mugele 16.30 - 17.15 Chen Green Mugele Bazant 17.15 - 18.00 Morgan e-mail: [email protected] fax +390432248550 tel. +390432248511 (6lines) 33100 Udine(Italy) -PiazzaGaribaldi18 Palazzo delTorso CISM For furtherinformationpleasecontact: our website,orcanbemaileduponrequest. Information about travel and accommodation is available on web site: e-mail: postmaster[at]daad.de tel. +49(228)882-0 DAAD, Kennedyallee50,53175Bonn support toGermanstudents.Pleasecontact: The Deutscher Akademischer Austausch Dienst (DAAD) offers to applicantsfromcountriesthatsponsorCISM. the institute cannot provide funding. Preference will be given by the head of the department or a supervisor confirming that recommendation of letter a and curriculum applicant's the with by Secretariat CISM to sent be should quests offered board and/or lodging in a reasonably priced hotel. Re centres who are not supported by their own institutions can be research and universitites from participants of number limited A The registrationfeeis600,00Euro. our secretariat. pants. If you need assistance for registration please contact A message of confirmationwill be sent to accepted partici our website: through on-line sent be should forms Application course. the of beginning the before month one least at apply must Applicants ADMISSION ANDACCOMMODATION http://www.daad.de/de/kontakt.html http://www.cism.it orbypost.
    [Show full text]
  • Mass Transfer with the Marangoni Effect 87 7.1 Objectives
    TECHNISCHE UNIVERSITÄT MÜNCHEN Professur für Hydromechanik Numerical investigation of mass transfer at non-miscible interfaces including Marangoni force Tianshi Sun Vollständiger Abdruck der an der Ingenieurfakultät Bau Geo Umwelt der Technischen Universität Munchen zur Erlangung des akademischen Grades eines Doktor-Ingenieurs genehmigten Dissertation. Vorsitzender: Prof. Dr.-Ing. habil. F. Düddeck Prüfer der Dissertation: 1. Prof. Dr.-Ing. M. Manhart 2. Prof. Dr. J.G.M. Kuerten Die Dissertation wurde am 31. 08. 2018 bei der Technischen Universitat München eingereicht und durch die Ingenieurfakultat Bau Geo Umwelt am 11. 12. 2018 angenommen. Zusammenfassung Diese Studie untersucht den mehrphasigen Stofftransport einer nicht-wässrigen flüssigkeit ("Non-aqueous phase liquid", NAPL) im Porenmaßstab, einschließlich der Auswirkungen von Oberflachenspannungs und Marangoni-Kraften. Fur die Mehrphasensträmung wurde die Methode "Conservative Level Set" (CLS) implementiert, um die Grenzflache zu verfol­ gen, wahrend die Oberflachenspannungskraft mit der Methode "Sharp Surface Tension Force" (SSF) simuliert wird. Zur Messung des Kontaktwinkels zwischen der Oberflache der Flus- sigkeit und der Kontur der Kontaktflaäche wird ein auf der CLS-Methode basierendes Kon­ taktlinienmodell verwendet; das "Continuum Surface Force" (CSF)-Modell wird zur Model­ lierung des durch einen Konzentrationsgradienten induzierten Marangoni-Effekts verwendet; ein neues Stofftransfermodell, das einen Quellterm in der Konvektions-Diffusionsgleichungen verwendet, wird zur
    [Show full text]
  • An All-Mach Method for the Simulation of Bubble Dynamics Problems in the Presence of Surface Tension Daniel Fuster, Stéphane Popinet
    An all-Mach method for the simulation of bubble dynamics problems in the presence of surface tension Daniel Fuster, Stéphane Popinet To cite this version: Daniel Fuster, Stéphane Popinet. An all-Mach method for the simulation of bubble dynamics problems in the presence of surface tension. Journal of Computational Physics, Elsevier, 2018, 374, pp.752-768. 10.1016/j.jcp.2018.07.055. hal-01845218 HAL Id: hal-01845218 https://hal.sorbonne-universite.fr/hal-01845218 Submitted on 20 Jul 2018 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. An all-Mach method for the simulation of bubble dynamics problems in the presence of surface tension Daniel Fuster, St´ephanePopinet Sorbonne Universit´e,Centre National de la Recherche Scientifique, UMR 7190, Institut Jean Le Rond D'Alembert, F-75005 Paris, France Abstract This paper presents a generalization of an all-Mach formulation for multi- phase flows accounting for surface tension and viscous forces. The proposed numerical method is based on the consistent advection of conservative quan- tities and the advection of the color function used in the Volume of Fluid method avoiding any numerical diffusion of mass, momentum and energy across the interface during the advection step.
    [Show full text]