Interactive Dynamics of Convection and Solidification - Nato Science Series E: 1992 edition

Marc Notes: Proceedings of the NATO Advanced Study Institute on Interactive Dynamics of Convection and Solidification, Chamonix, France 8-13 March, 1992--T.p. verso.; Includes bibliographical references.; Published in cooperation with NATO Scientific Affairs Division.. Table of Contents: Contents Preface. Morphological Stability and Convective Flow: Some Old and New Problems. Microscale Coupling of Solidification and Flow. Flow Interactions with Dendritic Mushy Zones. The Dynamics of Mushy Layers. Convective Aspects of Solidification Experiments under Low Gravity. Convective Effects on Solidification Grain Structure. Convection and Macrosegragation in Magma Chambers. Publisher Marketing: The phase transformation from liquid to solid is a phenomenon central to a wide range of manufacturing and natural processes. The presence of phase transformation can drive convection in the melt through the liberation of latent heat, the rejection of solute, and the change of density upon freezing. The fluid mechanics itself can playa central role; the phase transformation can be strongly altered by convective transport in the liquid through the modification of the thermal and solutal environment of the solid-liquid interface; these local fields control the freezing characteristics at the interface. The convection can be generated naturally by buoyancy forces arising from gradients of temperature and concentration in the liquid, by density changes upon freezing, and by thermocapillary and solutocapillary forces on liquid-solid interfaces. The interactive coupling between solidification and convection forms the subject of this volume. Such coupled processes are significant on a large range of scales. Among the applications of interest are the manufacture of single crystals, the processing of surfaces using laser or molecular beams, and the processes of soldering and welding. One wants to understand and predict macrosegregation in castings, transport and fractionation in geological and geophysical systems, and heat accumulation in energy redistribution and storage systems. This volume contains papers presented at the NATO Advanced Research Workshop on "Interactive Dynamics of Convection and Solidification" held in Chamonix, France, March 8-13, 1992.

Contributor Bio:  North Atlantic Treaty Organization Dedication. Preface. Acknowledgments. Clifford Geometric Algebras in Multilinear Algebra and Non-Euclidean Geometries.- Geometric algebra Projective Geometries; Affine and other geometries; Affine Geometry of pseudo-euclidean space; Conformal Geometry and the Horosphere; References. Content-Based Information Retrieval by Group Theoretical Methods.- Introduction; Motivating Examples; General Concept; Fault Tolerance.- Applications, Prototypes, and Test Results; Related Work and Future Research; References.- Four Problems in Radar.-Introduction; Radar Fundamentals; Radar Waveforms; Signal Processing; Space-Time Adaptive Processing; Four Problems in Radar; Conclusions. Introduction to Generalized Classical and Quantum Signal and System Theories on Groups and Hypergroups.-Generalized classical signal/system theory on hypergroups; Generalized quantum signal/system theory on hypergroups; Conclusion; References. Lie Groups and Lie Algebras in Robotics.- Introduction -- Rigid Body Motions; Lie Groups; Finite Screw Motions; Mechanical Joints; Invisible Motion and Gripping; Forward Kinematics; Lie Algebra; The Adjoint Representation; The Exponential Map Derivatives of Exponentials; Jacobians; Concluding Remarks; References. Quantum/Classical Interface: a Geometric Approach from the Classical Side.- Introduction Paravector Space as Spacetime; Eigenspinors; Spin; Dirac Equation; Bell's Theorem; Qubits and Entanglement; Conclusions; References. PONS, Reed-Muller Codes, and Group Algebras.- Introduction; Analytic Theory of One-Dimensional PONS (Welti); Shapiro Sequences, Reed-Muller Codes, and Functional Equations; Group Algebras; Reformulation of Classical PONS; Group Algebra of Classical PONS; GroupAlgebra Convolution; Splitting Sequences; Historical Appendix on PONS; References. Clifford Algebras as a Unified Language.- Introduction; Clifford algebras as models of physical spaces; Clifford Algebras as Models of Perceptual Multicolor Spaces; Hypercomplex-Valued invariants of nD multicolor images; Conclusions; Acknowledgments; References. Recent Progress and Applications in Group FFTs.-Introduction; Finite group FFTs; FFTs for compact groups; Noncompact groups; References. Group Filters and Image Processing.- Introduction: Classical Digital Signal Processing; Abelian Group DSP; Nonabelian Groups; Examples; Group Transforms; Group Filters; Line-like Images; Acknowledgments; References. A Geometric Algebra Approach to Some Problems of Robot Vision.- Introduction; Local Analysis of Multi-dimensional Signals; Knowledge Based Neural Computing; Acknowledgments; References. Group Theory in Radar and Signal Processing.- Introduction; How a Radar Works; Representations; Representations and Radar; Ambiguity Functions; The Wide Band Case; References. Geometry of Paravector Space with Applications to Relativistic Physics.- Clifford Algebras in Physics; Paravector Space as Spacetime; Interpretation; Eigenspinors; Maxwell's Equation; Conclusions; References. A Unified Approach to Fourier-Clifford-Prometheus Transforms- Introduction; New construction of classical and multiparametric Prometheus transforms; PONS associated with Abelian groups; Fast Fourier-Prometheus Transforms; Conclusions; Acknowledgments; References. Fast Color Wavelet Transforms.- Introduction; Color images; Color Wavelet-Haar-Prometheus transforms; Edge detection and compression of color images; Conclusion; Acknowledgments; References. Selected Problems; Various Authors.- Transformations of Euclidean Space and Clifford Geometric; Algebra; References; On the Distribution of Kloosterman Sums on Polynomials over Quaternions; References; Harmonic Sliding Analysis Problems; References; Spectral Analysis under Conditions of Uncertainty; A Canonical Basis for Maximal Tori of the Reductive Centrizer of a Nilpotent Element; References; 6 The Quantum Chaos Conjecture References; Four Problems in Radar; Topic Index; Author IndexContributor Bio:  Muller, Ulrich Ulrich Muller. Born in 1940 in Bogota, Colombia. School attendance in Bogota, then in Elizabeth, New Jersey, and finally in Fellbach, Germany. Studied chemistry at the Technische Hochschule in Stuttgart, Germany, obtaining the degree of Diplom-Chemiker in 1963. Work on the doctoral thesis in inorganic chemistry was performed in Stuttgart and at Purdue University in West Lafayette, Indiana, in the research groups of K. Dehnicke and K. S. Vorres, respectively. The doctor's degree in natural sciences (Dr. rer. nat.) was awarded by the Technische Hochschule Stuttgart in 1966. Subsequent post-doctoral work in crystallography and crystal structure determinations was performed in the research group of H. Barnighausen at the Universit ]at Karlsruhe, Germany. Appointed in 1972 as professor of inorganic chemistry at the Philipps-Universitat Marburg, Germany, then from 1992 to 1999 at the Universit]at Kassel, Germany, and since 1999 again in Marburg. Helped installing a graduate school of chemistry as visiting professor at the Universidad de Costa Rica from 1975 to 1977. Courses in spectroscopic methods were repeatedly given at different universities in Costa Rica, Brazil and Chile. Main areas of scientific interest: synthetic inorganic chemistry, crystallography and crystal structure systematics, crystallographic group theory. Co-author of "Chemie," a textbook for beginners, "Schwingungsspektroskopie," a textbook about the application of vibrational spectroscopy, and of "Schwingungsfrequenzen I" and "II" (tables of characteristic molecular vibrational frequencies); co-author and co-editor of "International Tables for Crystallography," Vol. "A"1.