Jeff McFadden, NIST Sam Coriell, NIST Bruce Murray, SUNY Binghamton Rich Braun, U. Delaware Marty Glicksman, RPI Marty Selleck, RPI Taylor-Couette Instabilities.

Slides:

Advertisements

Similar presentations

INSTABILITY OF ROTATING MAGNETIC FIELD DRIVEN FLOW IN A COUNTER-ROTATING CYLINDER Alexander Pedchenko and Ilmars Grants Institute of Physics, University.

Advertisements

Charles A. Ward Thermodynamics and Kinetics Laboratory, University of Toronto Fluid Behavior In Absence Of Gravity: Confined Fluids and Phase Change Second.

Louisiana Tech University Ruston, LA Slide 1 Energy Balance Steven A. Jones BIEN 501 Wednesday, April 18, 2008.

Chapter 2 Introduction to Heat Transfer

Basic law of heat conduction --Fourier’s Law Degree Celsius.

Separation in B.L.T. context

NASA Microgravity Research Program

Experimental illustrations of pattern-forming phenomena: Examples from Rayleigh-Benard convection, Taylor-vortex flow, and electro convection  Guenter.

Heat Transfer Chapter 2.

THE NATURE OF SOLIDS SECTION 10.3 After reading Section 10.3, you should know: properties of solids the difference between single-cubic, body- centered.

Granular flows under the shear Hisao Hayakawa* & Kuniyasu Saitoh Dept. Phys. Kyoto Univ., JAPAN *

Heat Transfer Overview

An Introduction to Heat Flow

Thermally Activated Processes and Diffusion in Solids

The Instability of Laminar Axisymmetric Flows. The search of hydrodynamical instabilities of stationary flows is classical way to predict theoretically.

STEADY HEAT TRANSFER AND THERMAL RESISTANCE NETWORKS

K.F. Gurski and G.B. McFadden

G.B. McFadden and S.R. Coriell, NIST and R.F. Sekerka, CMU Analytic Solution of Non-Axisymmetric Isothermal Dendrites NASA Microgravity Research Program,

Materials Process Design and Control Laboratory CONTROLLING SEMICONDUCTOR GROWTH USING MAGNETIC FIELDS AND ROTATION Baskar Ganapathysubramanian, Nicholas.

Modeling of a continous casting process. Introduction The purpose of this model is to describe the transition from melt to solid in the flow in the continous.

Physics of Convection " Motivation: Convection is the engine that turns heat into motion. " Examples from Meteorology, Oceanography and Solid Earth Geophysics.

NASA Microgravity Research Program

VISCOUS MEANS FLOWS IN NEARLY INVISCID FARADAY WAVES Elena Martín Universidad de Vigo, Spain - Drift instabilities of spatially uniform Faraday waves.

BAMC 2001 Reading Diffuse Interface Models Adam A Wheeler University of Southampton Jeff McFadden, NIST Dan Anderson, GWU Bill Boettinger, NIST Rich Braun,

3D Long-Wave Oscillatory Patterns in Thermocapillary Convection with Soret Effect A. Nepomnyashchy, A. Oron Technion, Haifa, Israel, and S. Shklyaev, Technion,

One Dimensional Non-Homogeneous Conduction Equation P M V Subbarao Associate Professor Mechanical Engineering Department IIT Delhi A truly non-homogeneous.

BGU WISAP Spectral and Algebraic Instabilities in Thin Keplerian Disks: I – Linear Theory Edward Liverts Michael Mond Yuri Shtemler.

Ch. 7.2 Fluids and the Particle Theory of Matter

Wavy Vortex Flow A tale of chaos, symmetry and serendipity in a steady world Greg King University of Warwick (UK) Collaborators: Murray Rudman (CSIRO)

CEE 262A H YDRODYNAMICS Lecture 15 Unsteady solutions to the Navier-Stokes equation.

Lecture 19-20: Natural convection in a plane layer. Principles of linear theory of hydrodynamic stability 1 z x Governing equations: T=0T=0 T=AT=A h =1.

States of Matter 3 States of Matter: 1)solid- a substance with a definite shape and a definite volume. The particles of a solid vibrate, but do not move.

Analysis of Hydrodynamic and Interfacial Instabilities During Cooperative Monotectic Growth  Cooperative monotectic growth  Sources of flow with a fluid-fluid.

Geometry Group Summer 08 Series Toon Lenaerts, Bart Adams, and Philip Dutre Presented by Michael Su May

CHAPTER 16 Get ready to take notes! SOLIDS, LIQUIDS & GASES.

Nigel Clarke Department of Chemistry Durham University Effect of Shear Flow on Polymer-Polymer Miscibility: Theoretical Advances and Challenges With.

CHAPTER 5 Diffusion 5-1. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display Atomic Diffusion in Solids Diffusion.

Effect of mean flow on Spatial patterns Hira Affan Institute für Theoretische Physik, Westfälische Wilhelms Universität Münster.

Chapter 1: Fourier Equation and Thermal Conductivity

Double diffusive mixing (thermohaline convection) 1. Semiconvection ( ⇋ diffusive convection) 2. saltfingering ( ⇋ thermohaline mixing) coincidences make.

Application of Bezier splines and sensitivity analysis in inverse geometry and boundary problems Iwona NOWAK*, Andrzej J. NOWAK** * Institute of Mathematics,

Shear Localization/Banding Michael Dennin UC Irvine.

Numerical Simulation of Dendritic Solidification

Convection in Flat Plate Boundary Layers P M V Subbarao Associate Professor Mechanical Engineering Department IIT Delhi A Universal Similarity Law ……

27 October 2005 Konstantin Blyuss, University of Exeter 1 Konstantin Blyuss, University of Exeter 1 Spatio-temporal dynamics in a phase- field model with.

Fluctuating hydrodynamics for nonequilibrium steady states José M. Ortiz de Zárate Complutense University. Madrid, Spain.

Heat Transfer: Physical Origins and Rate Equations Chapter One Sections 1.1 and 1.2.

Heat Transfer Introduction and Conduction. Conduction  If a temperature gradient exits in a continuous substance, heat can flow unaccompanied by any.

Materials Process Design and Control Laboratory TAILORED MAGNETIC FIELDS FOR CONTROLLED SEMICONDUCTOR GROWTH Baskar Ganapathysubramanian, Nicholas Zabaras.

The 3 States of Matter. Kinetic Theory : Concepts for “States” of Matter All atoms and molecules are always in Motion Molecules in solids, liquids and.

Phases and Phase Changes. The Phases Solid Liquid Gas Plasma ColdestHottest.

Convection Heat Transfer in Manufacturing Processes P M V Subbarao Professor Mechanical Engineering Department I I T Delhi Mode of Heat Transfer due to.

Heat Transfer Su Yongkang School of Mechanical Engineering # 1 HEAT TRANSFER CHAPTER 9 Free Convection.

States of Matter Chapter 3.

Diffusion Thermally activated process

Numerical Model on the Effects of Gravity on Diffusion Flames

Chapter 2: Introduction to Conduction

The 3 States of Matter.

LAMINAR DIFFUSION FLAMES IN EARTH GRAVITY(1g) AND MICROGRAVITY (µg)

Spectral and Algebraic Instabilities in Thin Keplerian Disks: I – Linear Theory Edward Liverts Michael Mond Yuri Shtemler.

Dimensional Analysis in Mass Transfer

Numerical Simulation of Dendritic Solidification

MAE 5130: VISCOUS FLOWS Taylor-Couette Flow September 23, 2010

Liquids and Solids.

The 3 States of Matter.

MIT Microstructural Evolution in Materials 14: Interface Stability

Ch. 16: Solids, Liquids, and Gases

CREEP CREEP Dr. Mohammed Abdulrazzaq Materials Engineering Department.

FLUID MECHANICS - Review

The Three States of Matter on Earth

Presentation transcript:

Jeff McFadden, NIST Sam Coriell, NIST Bruce Murray, SUNY Binghamton Rich Braun, U. Delaware Marty Glicksman, RPI Marty Selleck, RPI Taylor-Couette Instabilities with a Crystal-Melt Interface G.I. Taylor Medalist Symposium in Honor of Steve Davis June 28, 2001 NASA Microgravity Research Program

28 June Coupled Hydrodynamic/ Morphological Instabilities Flow in the melt modifies the thermal and solutal gradients at the crystal-melt interface that determine the morphological stability of the interface. The shape of the crystal-melt interface modifies the fluid flow near the interface and affects the hydrodynamic stability of the melt. S.H. Davis, Effects of Flow on Morphological Stability, Handbook of Crystal Growth, Vol. I, ed. D.T.J. Hurle (Elsevier, Amsterdam, 1993), Ch. 13.

28 June Benard Convection The interface morphology changes from rolls to hexagons as the solid thickness is varied. S.H. Davis, U. Muller, and C. Dietsche, JFM (1984)

28 June Modulated Taylor-Couette Flow Rigidly Co-Rotating Cylinders in Time-Harmonic Motion Radial Temperature Gradient

28 June Interface Instability Succinonitrile (SCN)

28 June Taylor-Vortex Flow Multiple-exposure image capturing marker particle at periodic intervals of the motion

28 June Floquet Theory Discretize in space; solve ODEs in time over one period; or Fourier series in time; solve spatial eigenproblem: (rigid) (crystal-melt)

28 June Steady Rotation

28 June Linear Eigenmodes

28 June Counter-Rotating Cylinders Instability is localized away from the interface.

28 June Bouyancy-Driven Flow

28 June Summary An otherwise stable interface is destabilized by the flow Taylor-Couette flow is strongly destabilized for materials with moderate Prandtl numbers Organics and oxides have moderate-to-large Prandtl numbers; metals and semiconductors have small Prandtl numbers. (For solute diffusion, the Schmidt number is usually large.) Weakly-nonlinear analysis hasn’t been done for these problems General understanding of when strong coupling will occur is lacking

28 June Material Properties of SCN

28 June References G.B. McFadden, S.R. Coriell, M.E. Glicksman, and M.E. Selleck, Instability of a Taylor- Couette flow interacting with a crystal-melt interface, PCH Physico-Chem. Hydro. 11 (1989) G.B. McFadden, S.R. Coriell, B.T. Muarray, M.E. Glicksman, and M.E. Selleck, Effect of a crystal-melt interface on Taylor-vortex flow, Phys. Fluids A 2 (1990) G.B. McFadden, B.T. Murray, S.R. Coriell, M.E. Glicksman, and M.E. Selleck, Effect of modulated Taylor-Couette flows on crystal-melt interfaces: Theory and initial experiments, in On the Evolution of Phase Boundaries, ed. M.E. Gurtin and G.B. McFadden (Springer-Verlag, New York, 1992), pp R.J. Braun, G.B. McFadden, B.T. Murray, S.R. Coriell, M.E. Glicksman, and M.E. Selleck, Asymptotic behavior of modulated Taylor-Couette flows with a crystalline inner cylinder, Phys. Fluids A 5 (1993) G.B. McFadden, B.T. Murray, S.R. Coriell, M.E. Glicksman, and M.E. Selleck, Effect of a crystal-melt interface on Taylor-vortex flow with buoyancy, in Emerging Applications in Free Boundary Problems, ed. J.M. Chadham and H. Rasmussen (Longman Scientific & Technical, New York, 1993), pp