Process Development for a High-Throughput Fine Line Metallization Approach Based on Dispensing Technology

Size: px
Start display at page:

Download "Process Development for a High-Throughput Fine Line Metallization Approach Based on Dispensing Technology"

Transcription

1 Process Development for a High-Throughput Fine Line Metallization Approach Based on Dispensing Technology Rheology, CFD-Simulation and Print-Head Design M. Pospischil, M. Klawitter, M. Kuchler, J. Specht, H. Gentischer, R. Efinger, C. Kroner, M. Luegmair, M. König, M. Hörteis, C. Mohr, L. Wende, J. Lossen, M. Weiß, O. Doll, I. Koehler, R. Zengerle, F. Clement and D. Biro 4 th Workshop on Metallization for Crystalline Silicon Solar Cells, May 2013, Konstanz, Germany

2 Motivation Front-Side Metallization Requirements: Robust contact formation High conductivity Few shading losses Little (Ag-) paste consumption Source: Mette, A Source: Mette, A., Dissertation Thesis, University of Freiburg,

3 Screen Printing as Industrial Standard Metallization Process Established, reliable single step metallization approach Robust contact formation Relatively high throughput rates Finger homogeneity (meshmarks and paste spreading) Low aspect ratio (= height : width) Screen wear Mechanical load on wafer 3

4 Dispensing Technology for Front Side Metallization Possibilities and Challenges Non-impact, single step process High resolution, high aspect ratio using similar Ag-pastes Improvement of cell-efficiencies +0.3%abs (1) record: 20.6% (2) Challenges: Process stability p p Accuracy (precise line start/-stop) v Throughput Parallelization 4 * Sources: (1) Specht et al., EUPVSEC 2010, (2) Lohmüller et al., IEEE Electron, 2011

5 Developing an Industrial Metallisation Process Interacting Fields of Research and Engineering Rheology Simulation Paste Development (external) Hardware Design & Construction Process Development Contact Formation Technology & Material Evaluation Integration in PV Production Process 5

6 Rheological Characterisation Shear Flow of Non-Newtonian Fluids Velocity Profile (Laminar pipe flow) τ < τ y Herschel Bulkley Newtonian n = 1 Non Newtonian n 1 n > 0 n < 0 n = 0 y k y ( ) k n n1 6 Herschel, W.H. and R. Bulkley, Konsistenzmessungen von Gummi-Benzollösungen. 1926: p

7 Rheological Characterisation Determination of Characteristic Yield Stress Increasing shear stress until paste starts to yield yield stress τ y Strong influence on aspect ratio 7,cone M Source: Macosko, C.W., Rheology: principles, measurements, and applications. 1994: VCH. cone Paste A 10 1 Paste B y,a = 613 Pa y,b = 1882 Pa (Pa)

8 Rheological Characterisation Capillary Viscosimeter Measurement at high shear rates Recording pressure drop depending on flow rate w p c 4 D L w Q R n Paste A A 10 5 Paste B B 10 2 (Pa) (Pas) Paste A A Source: Macosko, C.W., Rheology: principles, measurements, and applications. 1994: VCH. Paste B (s -1 ) B

9 Developing an Industrial Metallisation Process Interacting Fields of Research and Engineering Rheology Simulation Paste Development (external) Hardware Design & Construction Process Development Contact Formation Technology & Material Evaluation Integration in PV Production Process 9

10 Computational Fluid Dynamics - Theory Laws of Conservation Mass Momentum t v t v. const 0 v 2 v v p ij r g q( x) E( f a Influenced by Rheology Energy Dissipative heat due to friction f p f Navier-Stokes Equations f V x) 10 U Uv q T : D t. const Source: Macosko, C.W., Rheology: principles, measurements, and applications. 1994: VCH. DT 2 cp kt T T : Dt D

11 Volume Flow Q (µl/s) Verification of Simulation Comparison with Reality Rheology + CFD- Simulation Flow measurements in experiment Experiment Conical Nozzle (Ø=80µm) Variation of Dispensing Pressure p 3.5 Rheologic Modelling Herschel-Bulkley y k n Paste A dispensed simulated Paste B dispensed simulated Simulation Pressure p depending on flowrate Target Pressure p (10 5 Pa)

12 Challenges of Dispensing Comparison of Nozzle Geometries (Operating Pressure) Metal Pastes Rheology: high viscous, Non-Newtonian, thixotropic, yield stress fluid Highly filled medium (agglomeration clogging) Process Demands Finest fingers (width~30µm) Nozzle diameter: Ø~40µm Printing velocity (~200mm/s) Low operating pressure p c L 4 D 12

13 Challenges of Dispensing Comparison of Nozzle Geometries (Local Pressuredrop) Metal Pastes Rheology: high viscous, Non-Newtonian, thixotropic, yield stress fluid Highly filled medium (agglomeration clogging) Process Demands Finest fingers (width~30µm) Nozzle diameter: Ø~40µm Printing velocity (~200mm/s) Low operating pressure 13

14 Challenges of Dispensing Comparison of Nozzle Geometries (Velocity Profile) Metal Pastes Rheology: high viscous, Non-Newtonian, thixotropic, yield stress fluid Highly filled medium (agglomeration clogging) Process Demands Finest fingers (width~30µm) Nozzle diameter: Ø~40µm Printing velocity (~200mm/s) Low operating pressure 14

15 Challenges of Dispensing Comparison of Nozzle Geometries (Shear strain rate) Metal Pastes Rheology: high viscous, Non-Newtonian, thixotropic, yield stress fluid Highly filled medium (agglomeration clogging) Process Demands Finest fingers (width~30µm) Nozzle diameter: Ø~40µm Printing velocity (~200mm/s) Low operating pressure 15

16 Challenges of Parallel Dispensing Robust Print Head Design Procedure: Homogeneous flow 10 nozzles with Ø = 40µm Variation of specific nozzles: Ø = 40µm Ø = 45µm w w 0 m m Impact on Dispensing Process: Deviation of mass flow rate 22% Resulting finger width ±4.2µm Higher silver consumption Possible line interruptions High impact of fab. tolerances! 16

17 Developing an Industrial Metallisation Process Interacting Fields of Research and Engineering Rheology Simulation Paste Development (external) Hardware Design & Construction Process Development Contact Formation Technology & Material Evaluation Integration in PV Production Process 17

18 Transfer into Prototype Parallel Dispensing Print-Head Modular Setup Print-head with paste distribution Exchangeable Nozzle-Adapter 10 x Ø = 40µm, Pitch: 1.55mm 18

19 Developing an Industrial Metallisation Process Interacting Fields of Research and Engineering Rheology Simulation Paste Development (external) Hardware Design & Construction Process Development Contact Formation Technology & Material Evaluation Integration in PV Production Process 19

20 Evaluation Printing Tests and First Cell Processing Printing Results Low system pressure (~4 bar) Homogeneous flow 10 nozzles achieved Processing of Cell Batch 156x156 mm² Cz p-type Si Standard Al + preprinted Busbars Efficiency increase 0.2% abs. compared to screen printing (grid not yet optimized) Finger widths on cells: 30±1µm Record finger widths < 30µm 20

21 Parallel Dispensing Process Summary + Outlook Rheology + Simulation: Successful integration of shear rheology into CFD-simulation Verification of paste model and steady state simulation Evaluation of different nozzle and print-head designs using CFD Development of a 10 nozzle parallel dispensing unit Hardware + Process: Launching of novel 10-nozzle print-head prototype successful First cell processing demonstrated, η ~+0.2%abs. Line width < 30µm demonstrated Outlook: Advanced cell processing + start & stop accuracy 21

22 Thank you for your attention! and all Co-workers within the Dispensing Project and at PVTEC as well as our industry partners: This work was supported by the German Federal Ministry of Environment, Nature Conservation and Nuclear Safety under contract number

Modelling the Rheology of Semi-Concentrated Polymeric Composites

Modelling the Rheology of Semi-Concentrated Polymeric Composites THALES Project No 1188 Modelling the Rheology of Semi-Concentrated Polymeric Composites Research Team Evan Mitsoulis (PI), Professor, NTUA, Greece Costas Papoulias (Research Student), NTUA, Greece Souzanna

More information

Rheology and Constitutive Equations. Rheology = Greek verb to flow. Rheology is the study of the flow and deformation of materials.

Rheology and Constitutive Equations. Rheology = Greek verb to flow. Rheology is the study of the flow and deformation of materials. Rheology and Constitutive Equations Rheology = Greek verb to flow Rheology is the study of the flow and deformation of materials. The focus of rheology is primarily on the study of fundamental, or constitutive,

More information

Yield stress and thixotropy: on the difficulty of measuring yield stresses in practice

Yield stress and thixotropy: on the difficulty of measuring yield stresses in practice Yield stress and thixotropy: on the difficulty of measuring yield stresses in practice Review and Discussion Jeremy B. Gordon and Christopher J. Pipe Hatsopoulos Microfluids Laboratory Department of Mechanical

More information

Fluid Mechanics II Viscosity and shear stresses

Fluid Mechanics II Viscosity and shear stresses Fluid Mechanics II Viscosity and shear stresses Shear stresses in a Newtonian fluid A fluid at rest can not resist shearing forces. Under the action of such forces it deforms continuously, however small

More information

CH5716 Processing of Materials

CH5716 Processing of Materials CH5716 Processing of Materials Ceramic Thick Film Processing Lecture MC5 Slurry Characterisation Specific Surface Area Powder size & specific surface area (area per unit wt) closely related As particle

More information

SPH for the Modeling of non-newtonian Fluids with Thermal-Dependent Rheology

SPH for the Modeling of non-newtonian Fluids with Thermal-Dependent Rheology SPH for the Modeling of non-newtonian Fluids with Thermal-Dependent Rheology G. Bilotta 1,2 1 Dipartimento di Matematica e Informatica, Università di Catania, Italy 2 Istituto Nazionale Geofisica e Vulcanologia,

More information

Differential relations for fluid flow

Differential relations for fluid flow Differential relations for fluid flow In this approach, we apply basic conservation laws to an infinitesimally small control volume. The differential approach provides point by point details of a flow

More information

Modelling of dispersed, multicomponent, multiphase flows in resource industries Section 4: Non-Newtonian fluids and rheometry (PART 1)

Modelling of dispersed, multicomponent, multiphase flows in resource industries Section 4: Non-Newtonian fluids and rheometry (PART 1) Modelling of dispersed, multicomponent, multiphase flows in resource industries Section 4: Non-Newtonian fluids and rheometry (PART 1) Globex Julmester 2017 Lecture #3 05 July 2017 Agenda Lecture #3 Section

More information

Chapter 1: Basic Concepts

Chapter 1: Basic Concepts What is a fluid? A fluid is a substance in the gaseous or liquid form Distinction between solid and fluid? Solid: can resist an applied shear by deforming. Stress is proportional to strain Fluid: deforms

More information

FLUID MECHANICS PROF. DR. METİN GÜNER COMPILER

FLUID MECHANICS PROF. DR. METİN GÜNER COMPILER FLUID MECHANICS PROF. DR. METİN GÜNER COMPILER ANKARA UNIVERSITY FACULTY OF AGRICULTURE DEPARTMENT OF AGRICULTURAL MACHINERY AND TECHNOLOGIES ENGINEERING 1 5. FLOW IN PIPES 5.1.3. Pressure and Shear Stress

More information

Modelling the 3D printing of nanocellulose hydrogels

Modelling the 3D printing of nanocellulose hydrogels Modelling the 3D printing of nanocellulose hydrogels Tatu Pinomaa VTT Technical Research Centre of Finland Ltd Contents Motivation Nanocellulose-based hydrogels Material characterisation CFD models Printer

More information

Computational and Experimental Studies of Fluid flow and Heat Transfer in a Calandria Based Reactor

Computational and Experimental Studies of Fluid flow and Heat Transfer in a Calandria Based Reactor Computational and Experimental Studies of Fluid flow and Heat Transfer in a Calandria Based Reactor SD Ravi 1, NKS Rajan 2 and PS Kulkarni 3 1 Dept. of Aerospace Engg., IISc, Bangalore, India. ravi@cgpl.iisc.ernet.in

More information

GENERALIZED NEWTONIAN FLUIDS AS LUBRICANTS IN THE HYDRODYNAMIC CONICAL BEARINGS A CFD ANALYSIS

GENERALIZED NEWTONIAN FLUIDS AS LUBRICANTS IN THE HYDRODYNAMIC CONICAL BEARINGS A CFD ANALYSIS Journal of KONES Powertrain and Transport, Vol. 23, No. 2 2016 GENERALIZED NEWTONIAN FLUIDS AS LUBRICANTS IN THE HYDRODYNAMIC CONICAL BEARINGS A CFD ANALYSIS Adam Czaban Gdynia Maritime University, Faculty

More information

DETAILS ABOUT THE TECHNIQUE. We use a global mantle convection model (Bunge et al., 1997) in conjunction with a

DETAILS ABOUT THE TECHNIQUE. We use a global mantle convection model (Bunge et al., 1997) in conjunction with a DETAILS ABOUT THE TECHNIQUE We use a global mantle convection model (Bunge et al., 1997) in conjunction with a global model of the lithosphere (Kong and Bird, 1995) to compute plate motions consistent

More information

3. FORMS OF GOVERNING EQUATIONS IN CFD

3. FORMS OF GOVERNING EQUATIONS IN CFD 3. FORMS OF GOVERNING EQUATIONS IN CFD 3.1. Governing and model equations in CFD Fluid flows are governed by the Navier-Stokes equations (N-S), which simpler, inviscid, form is the Euler equations. For

More information

Rheological and Engineering Properties of Orange Pulp. Elyse Payne Juan Fernando Muñoz José I. Reyes De Corcuera

Rheological and Engineering Properties of Orange Pulp. Elyse Payne Juan Fernando Muñoz José I. Reyes De Corcuera Rheological and Engineering Properties of Orange Pulp Elyse Payne Juan Fernando Muñoz José I. Reyes De Corcuera September 20, 2012 Acknowledgements Industry Dr. Paul Winniczuk Mr. Marcelo Bellarde Mr.

More information

VIRTUAL INSTRUMENTATION SOFTWARE FOR THE RHEOLOGICAL PROPERTIES OF THE NON-NEWTONIAN FLUIDS

VIRTUAL INSTRUMENTATION SOFTWARE FOR THE RHEOLOGICAL PROPERTIES OF THE NON-NEWTONIAN FLUIDS VIRTUAL INSTRUMENTATION SOFTWARE FOR THE RHEOLOGICAL PROPERTIES OF THE NON-NEWTONIAN FLUIDS Eng. Irina Radulescu, S.C. I.C.T.C.M. S.A. Bucharest, ROMANIA Dr. eng. Alexandru V. Radulescu, University POLITEHNICA

More information

Computational Fluid Dynamics 2

Computational Fluid Dynamics 2 Seite 1 Introduction Computational Fluid Dynamics 11.07.2016 Computational Fluid Dynamics 2 Turbulence effects and Particle transport Martin Pietsch Computational Biomechanics Summer Term 2016 Seite 2

More information

Interfacial dynamics

Interfacial dynamics Interfacial dynamics Interfacial dynamics = dynamic processes at fluid interfaces upon their deformation Interfacial rheological properties: elasticity, viscosity, yield stress, Relation between macroscopic

More information

Granular flow and thermal performance of Moving Bed Heat Exchangers: Comparison of the Euler-Euler model with experimental results

Granular flow and thermal performance of Moving Bed Heat Exchangers: Comparison of the Euler-Euler model with experimental results www.dlr.de Chart 1 12th Multiphase Flow Conference November 25-27 2014 Dresden Granular flow and thermal performance of Moving Bed Heat Exchangers: Comparison of the Euler-Euler model with experimental

More information

Chemical and Biomolecular Engineering 150A Transport Processes Spring Semester 2017

Chemical and Biomolecular Engineering 150A Transport Processes Spring Semester 2017 Chemical and Biomolecular Engineering 150A Transport Processes Spring Semester 2017 Objective: Text: To introduce the basic concepts of fluid mechanics and heat transfer necessary for solution of engineering

More information

CHAPTER 7 SEVERAL FORMS OF THE EQUATIONS OF MOTION

CHAPTER 7 SEVERAL FORMS OF THE EQUATIONS OF MOTION CHAPTER 7 SEVERAL FORMS OF THE EQUATIONS OF MOTION 7.1 THE NAVIER-STOKES EQUATIONS Under the assumption of a Newtonian stress-rate-of-strain constitutive equation and a linear, thermally conductive medium,

More information

Rheological Properties

Rheological Properties Rheological Properties Shear Stress the force experienced by the liquid is proportional to the area of the upper plate and is defined as the shear stress, σ = F/A (Units = Nm -2 or Pascals [Pa]) Shear

More information

CONTROL AND OPTIMIZATION OF THERMAL OXIDATION PROCESSES FOR INDUSTRIAL SOLAR CELL FABRICATION S (1)

CONTROL AND OPTIMIZATION OF THERMAL OXIDATION PROCESSES FOR INDUSTRIAL SOLAR CELL FABRICATION S (1) CONTROL AND OPTIMIZATION OF THERMAL OXIDATION PROCESSES FOR INDUSTRIAL SOLAR CELL FABRICATION Sebastian Mack, Anke Lemke, Andreas Wolf, Benedikt Holzinger, Martin Zimmer, Daniel Biro, and Ralf Preu Fraunhofer

More information

CHAPTER 3. CONVENTIONAL RHEOMETRY: STATE-OF-THE-ART. briefly introduces conventional rheometers. In sections 3.2 and 3.

CHAPTER 3. CONVENTIONAL RHEOMETRY: STATE-OF-THE-ART. briefly introduces conventional rheometers. In sections 3.2 and 3. 30 CHAPTER 3. CONVENTIONAL RHEOMETRY: STATE-OF-THE-ART This chapter reviews literature on conventional rheometries. Section 3.1 briefly introduces conventional rheometers. In sections 3.2 and 3.3, viscometers

More information

AE/ME 339. Computational Fluid Dynamics (CFD) K. M. Isaac. Momentum equation. Computational Fluid Dynamics (AE/ME 339) MAEEM Dept.

AE/ME 339. Computational Fluid Dynamics (CFD) K. M. Isaac. Momentum equation. Computational Fluid Dynamics (AE/ME 339) MAEEM Dept. AE/ME 339 Computational Fluid Dynamics (CFD) 9//005 Topic7_NS_ F0 1 Momentum equation 9//005 Topic7_NS_ F0 1 Consider the moving fluid element model shown in Figure.b Basis is Newton s nd Law which says

More information

Rheometer: Procedure: Part A: Viscosity v Time

Rheometer: Procedure: Part A: Viscosity v Time Rheometer A fluid is defined as a substance that deforms continuously under the action of a shear stress, no matter how small the shear stress may be. Without shear stress, there will be no deformation.

More information

How to measure the shear viscosity properly?

How to measure the shear viscosity properly? testxpo Fachmesse für Prüftechnik 10.-13.10.2016 How to measure the shear viscosity properly? M p v Rotation Capillary Torsten Remmler, Malvern Instruments Outline How is the Shear Viscosity defined? Principle

More information

Chapter 9: Differential Analysis

Chapter 9: Differential Analysis 9-1 Introduction 9-2 Conservation of Mass 9-3 The Stream Function 9-4 Conservation of Linear Momentum 9-5 Navier Stokes Equation 9-6 Differential Analysis Problems Recall 9-1 Introduction (1) Chap 5: Control

More information

Explaining and modelling the rheology of polymeric fluids with the kinetic theory

Explaining and modelling the rheology of polymeric fluids with the kinetic theory Explaining and modelling the rheology of polymeric fluids with the kinetic theory Dmitry Shogin University of Stavanger The National IOR Centre of Norway IOR Norway 2016 Workshop April 25, 2016 Overview

More information

Non Newtonian Fluid Dynamics

Non Newtonian Fluid Dynamics PDHonline Course M417 (3 PDH) Non Newtonian Fluid Dynamics Instructor: Paul G. Conley, PE 2012 PDH Online PDH Center 5272 Meadow Estates Drive Fairfax, VA 22030-6658 Phone & Fax: 703-988-0088 www.pdhonline.org

More information

Rheology of concentrated hard-sphere suspensions

Rheology of concentrated hard-sphere suspensions Rheology of concentrated hard-sphere suspensions Complex behaviour in a simple system Wilson Poon School of Physics & Astronomy, The University of Edinburgh Rut Besseling Lucio Isa ( ETH, Zürich) Khoa

More information

Drag Force Simulations of Particle Agglomerates with the Lattice-Boltzmann Method

Drag Force Simulations of Particle Agglomerates with the Lattice-Boltzmann Method Drag Force Simulations of Particle Agglomerates with the Lattice-Boltzmann Method Christian Feichtinger, Nils Thuerey, Ulrich Ruede Christian Binder, Hans-Joachim Schmid, Wolfgang Peukert Friedrich-Alexander-Universität

More information

Reactive Silver Ink as a Novel Low-Temperature Metallization: Performance & Degradation

Reactive Silver Ink as a Novel Low-Temperature Metallization: Performance & Degradation Reactive Silver Ink as a Novel Low-Temperature Metallization: Performance & Degradation 7 th Workshop on Metallization & Interconnection for Crystalline Silicon Solar Cells October 23 rd, 2017 April M.

More information

Chapter 9: Differential Analysis of Fluid Flow

Chapter 9: Differential Analysis of Fluid Flow of Fluid Flow Objectives 1. Understand how the differential equations of mass and momentum conservation are derived. 2. Calculate the stream function and pressure field, and plot streamlines for a known

More information

CM4650 Polymer Rheology

CM4650 Polymer Rheology CM4650 Polymer Rheology CM4650 Polymer Rheology Michigan Tech Professor Faith A. Morrison Department of Chemical Engineering Michigan Technological University Text: Faith A. Morrison, Understanding Rheology

More information

CLASS SCHEDULE 2013 FALL

CLASS SCHEDULE 2013 FALL CLASS SCHEDULE 2013 FALL Class # or Lab # 1 Date Aug 26 2 28 Important Concepts (Section # in Text Reading, Lecture note) Examples/Lab Activities Definition fluid; continuum hypothesis; fluid properties

More information

Rheological properties of polymer melt between rapidly oscillating plates: - an application of multiscale modeling -

Rheological properties of polymer melt between rapidly oscillating plates: - an application of multiscale modeling - http://multiscale.jp Rheological properties of polymer melt between rapidly oscillating plates: - an application of multiscale modeling - Ryoichi Yamamoto and Shugo Yasuda Dept. Chemical Engineering, Kyoto

More information

Petroleum Engineering Dept. Fluid Mechanics Second Stage Dr. Ahmed K. Alshara

Petroleum Engineering Dept. Fluid Mechanics Second Stage Dr. Ahmed K. Alshara Continents Chapter 1. Fluid Mechanics -Properties of fluids -Density, specific gravity, specific volume and Viscosity -Newtonian and non Newtonian fluids -Surface tension Compressibility -Pressure -Cavitations

More information

Biotransport: Principles

Biotransport: Principles Robert J. Roselli Kenneth R. Diller Biotransport: Principles and Applications 4 i Springer Contents Part I Fundamentals of How People Learn (HPL) 1 Introduction to HPL Methodology 3 1.1 Introduction 3

More information

Design and Modeling of Fluid Power Systems ME 597/ABE Lecture 7

Design and Modeling of Fluid Power Systems ME 597/ABE Lecture 7 Systems ME 597/ABE 591 - Lecture 7 Dr. Monika Ivantysynova MAHA Professor Fluid Power Systems MAHA Fluid Power Research Center Purdue University Content of 6th lecture The lubricating gap as a basic design

More information

Comparison of Flow and Sedimentation Pattern for three Designs of Storm Water Tanks by Numerical Modelling

Comparison of Flow and Sedimentation Pattern for three Designs of Storm Water Tanks by Numerical Modelling Comparison of Flow and Sedimentation Pattern for three Designs of Storm Water Tanks by Numerical Modelling 9th International Conference on Urban Drainage Modelling, Belgrad 2012 Simon Ebbert Nina Vosswinkel

More information

Modeling and simulation of bedload transport with viscous effects

Modeling and simulation of bedload transport with viscous effects Introduction Modeling and simulation of bedload transport with viscous effects E. Audusse, L. Boittin, M. Parisot, J. Sainte-Marie Project-team ANGE, Inria; CEREMA; LJLL, UPMC Université Paris VI; UMR

More information

J. Szantyr Lecture No. 4 Principles of the Turbulent Flow Theory The phenomenon of two markedly different types of flow, namely laminar and

J. Szantyr Lecture No. 4 Principles of the Turbulent Flow Theory The phenomenon of two markedly different types of flow, namely laminar and J. Szantyr Lecture No. 4 Principles of the Turbulent Flow Theory The phenomenon of two markedly different types of flow, namely laminar and turbulent, was discovered by Osborne Reynolds (184 191) in 1883

More information

Analysis of Mixing Chambers for the Processing of Two-Component Adhesives for Transport Applications

Analysis of Mixing Chambers for the Processing of Two-Component Adhesives for Transport Applications Analysis of Mixing Chambers for the Processing of Two-Component Adhesives for Transport Applications P. Steinert* 1, I. Schaarschmidt 1, R. Paul 1, M. Zinecker 1, M. Hackert-Oschätzchen 1, Th. Muschalek

More information

Guideline for Rheological Measurements

Guideline for Rheological Measurements Guideline for Rheological Measurements Typical Measurements, Diagrams and Analyses in Rheology www.anton-paar.com General Information: = Measurement = Diagram = Analysis Important Rheological Variables:

More information

CESSATION OF VISCOPLASTIC POISEUILLE FLOW IN A RECTANGULAR DUCT WITH WALL SLIP

CESSATION OF VISCOPLASTIC POISEUILLE FLOW IN A RECTANGULAR DUCT WITH WALL SLIP 8 th GRACM International Congress on Computational Mechanics Volos, 2 July 5 July 205 CESSATION OF VISCOPLASTIC POISEUILLE FLOW IN A RECTANGULAR DUCT WITH WALL SLIP Yiolanda Damianou, George Kaoullas,

More information

Viscoelasticity. Basic Notions & Examples. Formalism for Linear Viscoelasticity. Simple Models & Mechanical Analogies. Non-linear behavior

Viscoelasticity. Basic Notions & Examples. Formalism for Linear Viscoelasticity. Simple Models & Mechanical Analogies. Non-linear behavior Viscoelasticity Basic Notions & Examples Formalism for Linear Viscoelasticity Simple Models & Mechanical Analogies Non-linear behavior Viscoelastic Behavior Generic Viscoelasticity: exhibition of both

More information

Les Houches School of Foam: Rheology of Complex Fluids

Les Houches School of Foam: Rheology of Complex Fluids Les Houches School of Foam: Rheology of Complex Fluids Andrew Belmonte The W. G. Pritchard Laboratories Department of Mathematics, Penn State University 1 Fluid Dynamics (tossing a coin) Les Houches Winter

More information

High resolution THz scanning for optimization of dielectric layer opening process on doped Si surfaces

High resolution THz scanning for optimization of dielectric layer opening process on doped Si surfaces High resolution THz scanning for optimization of dielectric layer opening process on doped Si surfaces P. Spinelli 1, F.J.K. Danzl 1, D. Deligiannis 1,2, N. Guillevin 1, A.R. Burgers 1, S. Sawallich 3,

More information

Middle East Technical University Department of Mechanical Engineering ME 305 Fluid Mechanics I Fall 2018 Section 4 (Dr.

Middle East Technical University Department of Mechanical Engineering ME 305 Fluid Mechanics I Fall 2018 Section 4 (Dr. Reading Assignments Middle East Technical University Department of Mechanical Engineering ME 305 Fluid Mechanics I Fall 2018 Section 4 (Dr. Sert) Study Set 1 You can find the answers of some of the following

More information

Particle charge and Rheology

Particle charge and Rheology Particle charge and Dispersions i in liquids: id suspensions, emulsions, and foams ACS National Meeting March 21 22, 2009 Salt Lake City 1 Electro-osmosis and electrophoresis Voltaic reports the pile in

More information

Introduction to Viscometry and Rheology, Basics, Rotational Testing. Basic Seminar Applied Rheology

Introduction to Viscometry and Rheology, Basics, Rotational Testing. Basic Seminar Applied Rheology Introduction to Viscometry and Rheology, Basics, Rotational Testing Basic Seminar Applied Rheology Contents Definition of basic rheological parameters Viscosity and elasticity Deformation, shear stress

More information

LABORATORY TESTING OF PIPE FLOWS OF BIMODAL COMPLEX SLURRIES

LABORATORY TESTING OF PIPE FLOWS OF BIMODAL COMPLEX SLURRIES 18th International Conference on TRANSPORT AND SEDIMENTATION OF SOLID PARTICLES 11-15 September 2017, Prague, Czech Republic ISSN 0867-7964 ISBN 978-83-7717-269-8 LABORATORY TESTING OF PIPE FLOWS OF BIMODAL

More information

V (r,t) = i ˆ u( x, y,z,t) + ˆ j v( x, y,z,t) + k ˆ w( x, y, z,t)

V (r,t) = i ˆ u( x, y,z,t) + ˆ j v( x, y,z,t) + k ˆ w( x, y, z,t) IV. DIFFERENTIAL RELATIONS FOR A FLUID PARTICLE This chapter presents the development and application of the basic differential equations of fluid motion. Simplifications in the general equations and common

More information

Fluid Dynamics Exercises and questions for the course

Fluid Dynamics Exercises and questions for the course Fluid Dynamics Exercises and questions for the course January 15, 2014 A two dimensional flow field characterised by the following velocity components in polar coordinates is called a free vortex: u r

More information

Determination and Assessment of the Rheological Properties of Pastes for Screen Printing Ceramics

Determination and Assessment of the Rheological Properties of Pastes for Screen Printing Ceramics ANNUAL TRANSACTIONS OF THE NORDIC RHEOLOGY SOCIETY, VOL. 17, 2009 Determination and Assessment of the Rheological Properties of Pastes for Screen Printing Ceramics John W. Phair 1 and Andreas F-J. Kaiser

More information

Supplementary Informations Spatial cooperativity in soft glassy flows

Supplementary Informations Spatial cooperativity in soft glassy flows doi:.38/nature76 Supplementary Informations Spatial cooperativity in soft glassy flows J. Goyon, A. Colin, G. Ovarlez, A. Ajdari, L. Bocquet I. SUPPLEMENTARY METHOD. Static properties of the emulsions

More information

Rheology of Foam-conditioned Sands: Transferring Results from Laboratory to Real-World Tunneling

Rheology of Foam-conditioned Sands: Transferring Results from Laboratory to Real-World Tunneling 9 th International Symposium on Geotechnical Aspects of Underground Construction in Soft Ground IS Sao Paulo 2017 Rheology of Foam-conditioned Sands: Transferring Results from Laboratory to Real-World

More information

Turbulence Modeling I!

Turbulence Modeling I! Outline! Turbulence Modeling I! Grétar Tryggvason! Spring 2010! Why turbulence modeling! Reynolds Averaged Numerical Simulations! Zero and One equation models! Two equations models! Model predictions!

More information

Effect of radius ratio on pressure drop across a 90 bend for high concentration coal ash slurries

Effect of radius ratio on pressure drop across a 90 bend for high concentration coal ash slurries This paper is part of the Proceedings of the 11 International Conference th on Engineering Sciences (AFM 2016) www.witconferences.com Effect of radius ratio on pressure drop across a 90 bend for high concentration

More information

Contents. Preface XIII. 1 General Introduction 1 References 6

Contents. Preface XIII. 1 General Introduction 1 References 6 VII Contents Preface XIII 1 General Introduction 1 References 6 2 Interparticle Interactions and Their Combination 7 2.1 Hard-Sphere Interaction 7 2.2 Soft or Electrostatic Interaction 7 2.3 Steric Interaction

More information

Agricultural Science 1B Principles & Processes in Agriculture. Mike Wheatland

Agricultural Science 1B Principles & Processes in Agriculture. Mike Wheatland Agricultural Science 1B Principles & Processes in Agriculture Mike Wheatland (m.wheatland@physics.usyd.edu.au) Outline - Lectures weeks 9-12 Chapter 6: Balance in nature - description of energy balance

More information

17/02/02 IMAPS Thermal Management La Rochelle

17/02/02 IMAPS Thermal Management La Rochelle 17/02/02 La Rochelle Coupling Effects during Thermo- Fluidic Analysis of Flip-Chip Devices with Peripheral Components CFD Simulation and Experimental Study - Torsten Nowak - IMAPS Thermal TORSTEN.NOWAK@B-TU.DE

More information

Chapter 6 Molten State

Chapter 6 Molten State Chapter 6 Molten State Rheology ( 流變學 ) study of flow and deformation of (liquid) fluids constitutive (stress-strain) relation of fluids shear flow shear rate ~ dγ/dt ~ velocity gradient dv 1 = dx 1 /dt

More information

Viscosity * Desmond Schipper Andrew R. Barron. 1 Introduction

Viscosity * Desmond Schipper Andrew R. Barron. 1 Introduction OpenStax-CNX module: m50215 1 Viscosity * Desmond Schipper Andrew R. Barron This work is produced by OpenStax-CNX and licensed under the Creative Commons Attribution License 4.0 Abstract This module discusses

More information

Measurement and Prediction of Fluid Viscosities at High Shear Rates

Measurement and Prediction of Fluid Viscosities at High Shear Rates Chapter 5 Measurement and Prediction of Fluid Viscosities at High Shear Rates Jeshwanth K. Rameshwaram and Tien T. Dao Additional information is available at the end of the chapter http://dx.doi.org/10.5772/54282

More information

This chapter is a study of the shear stress as a function of the shear rate for Newtonian and non-newtonian biological materials.

This chapter is a study of the shear stress as a function of the shear rate for Newtonian and non-newtonian biological materials. Lecture 10 and Flow (Ch. 6) This chapter is a study of the shear stress as a function of the shear rate for Newtonian and non-newtonian biological materials. 1 Lecture 10 and Flow (Ch. 6) When a fluid

More information

U. S. Department of Energy

U. S. Department of Energy EFFECT OF COAL BENEFCATON PROCESS ON RHEOLOGY/ATOMZATON OF COAL WATER SLURRES. Quarterly Progress Report April 1, 1995 -June 30, 1995 FRANK OHENE Department of Chemistry Grambling State University Grambling,

More information

1. The Properties of Fluids

1. The Properties of Fluids 1. The Properties of Fluids [This material relates predominantly to modules ELP034, ELP035] 1.1 Fluids 1.1 Fluids 1.2 Newton s Law of Viscosity 1.3 Fluids Vs Solids 1.4 Liquids Vs Gases 1.5 Causes of viscosity

More information

Simulation and verification of forces on particles in ultrasound agitated gases

Simulation and verification of forces on particles in ultrasound agitated gases Simulation and verification of forces on particles in ultrasound agitated gases Claas Knoop, Udo Fritsching PiKo Workshop Dialogue: Experiment -Model Siegen 2012 Partikeln im Kontakt DFG SPP 1486 01.10.2012

More information

FLUID MECHANICS. Chapter 9 Flow over Immersed Bodies

FLUID MECHANICS. Chapter 9 Flow over Immersed Bodies FLUID MECHANICS Chapter 9 Flow over Immersed Bodies CHAP 9. FLOW OVER IMMERSED BODIES CONTENTS 9.1 General External Flow Characteristics 9.3 Drag 9.4 Lift 9.1 General External Flow Characteristics 9.1.1

More information

NUMERICAL INVESTIGATIONS FOR INSULATION PARTICLE TRANSPORT PHENOMENA IN WATER FLOW

NUMERICAL INVESTIGATIONS FOR INSULATION PARTICLE TRANSPORT PHENOMENA IN WATER FLOW NUMERICAL INVESTIGATIONS FOR INSULATION PARTICLE TRANSPORT PHENOMENA IN WATER FLOW Eckhard Krepper, Alexander Grahn, Sören Alt 1, Wolfgang Kästner 1, Alexander Kratzsch 1, and Andre Seeliger 1 1. Introduction

More information

5. MODELING OF NON-STRATIFIED MIXTURE FLOWS (Pseudo-homogeneous flows)

5. MODELING OF NON-STRATIFIED MIXTURE FLOWS (Pseudo-homogeneous flows) 5. MODELING OF NON-STRATIFIED MIXTURE FLOWS (Pseudo-homogeneous flows) Uniform (or almost uniform) distribution of transported solids across a pipeline cross section is characteristic of pseudo-homogeneous

More information

Duality methods for variational inequalities and Non-Newtonian fluid mechanics

Duality methods for variational inequalities and Non-Newtonian fluid mechanics Duality methods for variational inequalities and Non-Newtonian fluid mechanics Enrique Fernández-Nieto, Paul Vigneaux Dpto. Matemática Aplicada I, Universidad de Sevilla UMPA, Ecole Normale Supérieure

More information

Turbulence - Theory and Modelling GROUP-STUDIES:

Turbulence - Theory and Modelling GROUP-STUDIES: Lund Institute of Technology Department of Energy Sciences Division of Fluid Mechanics Robert Szasz, tel 046-0480 Johan Revstedt, tel 046-43 0 Turbulence - Theory and Modelling GROUP-STUDIES: Turbulence

More information

Petroleum Engineering Department Fluid Mechanics Second Stage Assist Prof. Dr. Ahmed K. Alshara

Petroleum Engineering Department Fluid Mechanics Second Stage Assist Prof. Dr. Ahmed K. Alshara Continents Petroleum Engineering Department Fluid Mechanics Second Stage Assist Prof. Dr. Ahmed K. Alshara Chapter 1. Fluid Mechanics -Properties of fluids -Density, specific gravity, specific volume and

More information

Improving the Accuracy of Computational Fluid Dynamics Simulations of Nuclear Waste Mixing using Direct Numerical Simulations

Improving the Accuracy of Computational Fluid Dynamics Simulations of Nuclear Waste Mixing using Direct Numerical Simulations Improving the Accuracy of Computational Fluid Dynamics Simulations of Nuclear Waste Mixing using Direct Numerical Simulations - 16260 Ahmadreza Abbasi Baharanchi, Maximiliano Edrei, Seckin Gokaltun, Dwayne

More information

Contents. Microfluidics - Jens Ducrée Physics: Laminar and Turbulent Flow 1

Contents. Microfluidics - Jens Ducrée Physics: Laminar and Turbulent Flow 1 Contents 1. Introduction 2. Fluids 3. Physics of Microfluidic Systems 4. Microfabrication Technologies 5. Flow Control 6. Micropumps 7. Sensors 8. Ink-Jet Technology 9. Liquid Handling 10.Microarrays 11.Microreactors

More information

Welcome to MECH 280. Ian A. Frigaard. Department of Mechanical Engineering, University of British Columbia. Mech 280: Frigaard

Welcome to MECH 280. Ian A. Frigaard. Department of Mechanical Engineering, University of British Columbia. Mech 280: Frigaard Welcome to MECH 280 Ian A. Frigaard Department of Mechanical Engineering, University of British Columbia Lectures 1 & 2: Learning goals/concepts: What is a fluid Apply continuum hypothesis Stress and viscosity

More information

Computer Fluid Dynamics E181107

Computer Fluid Dynamics E181107 Computer Fluid Dynamics E181107 2181106 Transport equations, Navier Stokes equations Remark: foils with black background could be skipped, they are aimed to the more advanced courses Rudolf Žitný, Ústav

More information

Introduction to Micro/Nanofluidics. Date: 2015/03/13. Dr. Yi-Chung Tung. Outline

Introduction to Micro/Nanofluidics. Date: 2015/03/13. Dr. Yi-Chung Tung. Outline Introduction to Micro/Nanofluidics Date: 2015/03/13 Dr. Yi-Chung Tung Outline Introduction to Microfluidics Basic Fluid Mechanics Concepts Equivalent Fluidic Circuit Model Conclusion What is Microfluidics

More information

7 The Navier-Stokes Equations

7 The Navier-Stokes Equations 18.354/12.27 Spring 214 7 The Navier-Stokes Equations In the previous section, we have seen how one can deduce the general structure of hydrodynamic equations from purely macroscopic considerations and

More information

Available online at ScienceDirect. Energy Procedia 55 (2014 )

Available online at  ScienceDirect. Energy Procedia 55 (2014 ) Available online at www.sciencedirect.com ScienceDirect Energy Procedia 55 (214 ) 331 335 4th International Conference on Silicon Photovoltaics, SiliconPV 214 The mechanical theory behind the peel test

More information

Today s menu. Last lecture. A/D conversion. A/D conversion (cont d...) Sampling

Today s menu. Last lecture. A/D conversion. A/D conversion (cont d...) Sampling Last lecture Capacitive sensing elements. Inductive sensing elements. Reactive Deflection bridges. Electromagnetic sensing elements. Thermoelectric sensing elements. Elastic sensing elements. Piezoelectric

More information

Several forms of the equations of motion

Several forms of the equations of motion Chapter 6 Several forms of the equations of motion 6.1 The Navier-Stokes equations Under the assumption of a Newtonian stress-rate-of-strain constitutive equation and a linear, thermally conductive medium,

More information

FIELD TEST OF WATER-STEAM SEPARATORS FOR THE DSG PROCESS

FIELD TEST OF WATER-STEAM SEPARATORS FOR THE DSG PROCESS FIELD TEST OF WATER-STEAM SEPARATORS FOR THE DSG PROCESS Markus Eck 1, Holger Schmidt 2, Martin Eickhoff 3, Tobias Hirsch 1 1 German Aerospace Center (DLR), Institute of Technical Thermodynamics, Pfaffenwaldring

More information

The principals of rheology In pharmaceutical technology

The principals of rheology In pharmaceutical technology The principals of rheology In pharmaceutical technology Dr. Aleksandar Széchenyi University of Pécs Gyógyszertechnológiai és Biofarmáciai Intézet Institute of Pharmaceutical Technology and Biopharmacy

More information

RHEOLOGY AND MIXING OF SUSPENSION AND PASTES. Pr Ange NZIHOU, EMAC France

RHEOLOGY AND MIXING OF SUSPENSION AND PASTES. Pr Ange NZIHOU, EMAC France RHEOLOGY AND MIXING OF SUSPENSION AND PASTES Pr Ange NZIHOU, EMAC France USACH, March 2006 PLAN 1- Rheology and Reactors Reactor performance problems caused by rheological behaviors of suspensions et pastes

More information

Computers and Mathematics with Applications. Investigation of the LES WALE turbulence model within the lattice Boltzmann framework

Computers and Mathematics with Applications. Investigation of the LES WALE turbulence model within the lattice Boltzmann framework Computers and Mathematics with Applications 59 (2010) 2200 2214 Contents lists available at ScienceDirect Computers and Mathematics with Applications journal homepage: www.elsevier.com/locate/camwa Investigation

More information

Computational Reality XV. Rotary viscometer. Determining material coefficients I. B. Emek Abali, Wilhelm LKM - TU Berlin

Computational Reality XV. Rotary viscometer. Determining material coefficients I. B. Emek Abali, Wilhelm LKM - TU Berlin Computational Reality XV Rotary viscometer Determining material coefficients I B. Emek Abali, Wilhelm Hübner @ LKM - TU Berlin Abstract A non-newtonian fluid can be modeled with three-parameter-constitutive

More information

A RHEOLOGICAL MODEL FOR MAGNETO-RHEOLOGICAL FLUIDS

A RHEOLOGICAL MODEL FOR MAGNETO-RHEOLOGICAL FLUIDS A RHEOLOGICAL MODEL FOR MAGNETO-RHEOLOGICAL FLUIDS Daniela Susan-Resiga 1, Ladislau Vékás 2, Romeo Susan-Resiga 3 Introduction Magneto-rheological fluids (MRF) are suspensions of particles which can be

More information

Non-Newtonian Fluids and Finite Elements

Non-Newtonian Fluids and Finite Elements Non-Newtonian Fluids and Finite Elements Janice Giudice Oxford University Computing Laboratory Keble College Talk Outline Motivating Industrial Process Multiple Extrusion of Pastes Governing Equations

More information

SIMULATION ASSISTED DESIGN OF A PV MODULE INCORPORATING ELECTRICALLY CONDUCTIVE ADHESIVE INTERCONNECTS

SIMULATION ASSISTED DESIGN OF A PV MODULE INCORPORATING ELECTRICALLY CONDUCTIVE ADHESIVE INTERCONNECTS SIMULATION ASSISTED DESIGN OF A PV MODULE INCORPORATING ELECTRICALLY CONDUCTIVE ADHESIVE INTERCONNECTS Marcel Meuwissen 1*, Monique van den Nieuwenhof 1, Henk Steijvers 1, Tom Bots 1, Kees Broek 2, Mario

More information

Influence of a DLC Coating on the Temperature and Friction in a Helical Tooth Flank Contact

Influence of a DLC Coating on the Temperature and Friction in a Helical Tooth Flank Contact Influence of a DLC Coating on the Temperature and Friction in a Helical Tooth Flank Contact, Lars Bobach, Dirk Bartel Institute of Machine Design Chair of Machine Elements and Tribology Otto von Guericke

More information

Rheology of cellulose solutions. Puu Cellulose Chemistry Michael Hummel

Rheology of cellulose solutions. Puu Cellulose Chemistry Michael Hummel Rheology of cellulose solutions Puu-23.6080 - Cellulose Chemistry Michael Hummel Contents Steady shear tests Viscous flow behavior and viscosity Newton s law Shear thinning (and critical concentration)

More information

Dynamic (absolute) Viscosity

Dynamic (absolute) Viscosity Viscosity Taken from: http://www.engineeringtoolbox.com/dynamic-absolute-kinematic-viscosity-d_412.html The viscosity of a fluid is an important property in the analysis of liquid behavior and fluid motion

More information

Regional-Scale Salt Tectonics Modelling: Bench-Scale Validation and Extension to Field-Scale Predictions

Regional-Scale Salt Tectonics Modelling: Bench-Scale Validation and Extension to Field-Scale Predictions Software Limited Bench-Scale to Field-Scale Regional-Scale Salt Tectonics Modelling: Bench-Scale Validation and Extension to Field-Scale Predictions Thornton, Dean A., Roberts, Daniel T., Crook, Anthony

More information

A Technique for Characterizing Complex Polymer Solutions in Extensional Flows. Gavin Braithwaite Stephen Spiegelberg

A Technique for Characterizing Complex Polymer Solutions in Extensional Flows. Gavin Braithwaite Stephen Spiegelberg A Technique for Characterizing Complex Polymer Solutions in Extensional Flows Gavin Braithwaite Stephen Spiegelberg Cambridge Polymer Group Inc. Ward Street, Somerville. MA 0243 http://www.campoly.com

More information

Fluid Flow. Fundamentals of Rheology. Rheology is the science of deformation and flow. Food rheology is the material science of food

Fluid Flow. Fundamentals of Rheology. Rheology is the science of deformation and flow. Food rheology is the material science of food 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

More information