MAGNETOHYDRODYNAMICS OF INCOMPRESSIBLE MEDIA

G. G. BRANOVER, A. B. TSINOBER

Research output: Contribution to journalArticlepeer-review

Abstract

THE FUNDAMENTAL ROLE PLAYED BY MAGNETOHYDRODYNAMICS (MHD) IN RECENT YEARS HAS LEAD TO AN UNUSUAL AMOUNT OF INTEREST AMONG RESEARCHERS IN THIS FIELD.BASED ON THEIR THEORETICAL AND EXPERIMENTAL RESEARCH AND AN EXTENSIVE STUDY OF THE SIGNIFICANT RUSSIAN AND FOREIGN LITERATURE, THE AUTHORS PRESENT A THOROUGH REVIEW OF VARIOUS IMPORTANT ASPECTS OF MHD FLOWS.AN INDICATION OF THE STRUCTURE OF THE BOOK IS REVEALED BY ITS CONTENTS.EVEN A BRIEF LISTING OF THE TITLES SHOWS THE GREAT VARIETY OF SUBJECTS TREATED IN THIS BOOK.THE INTRODUCTORY CHAPTER SERVES TO PRESENT THE BASIC LAMINAR AND TURBULENT EQUATIONS OF FLUID MOTION.CHAPTER CONCLUDES WITH INDICATION OF SOME TECHNICAL ASPECTS OF MHD FLOWS.THE SECOND CHAPTER, ENTITLED 'MHD DUCT FLOWS', BRINGS TOGETHER THE ANALYTICAL AND NUMERICAL SOLUTIONS OF THE FLOW OF CONDUCTING FLUID IN DUCTS UNDER TRANSVERSE MAGNETIC FIELDS.THE VELOCITY PROFILE, PRESSURE DISTRIBUTION, AND WALL-SHEAR STRESS ARE OBTAINED FOR A RANGE OF HARTMANN NUMBERS.THE FOLLOWING CHAPTER (THREE) IS DEVOTED TO THE STABILITY OF MHD FLOW AND TRANSITION FROM LAMINAR TO TURBULENT FLOW IN DUCTS AND CHANNELS.THE EXTENSIVE FOURTH CHAPTER (57 PAGES) TREATS 'TURBULENT FLOW IN DUCTS IN THE PRESENCE OF TRANSVERSAL AND LONGITUDINAL MAGNETIC FIELD.' A RELATIVELY SHORT FIFTH CHAPTER ON 'EXACT SOLUTIONS OF MHD FLOW' IS CONVENTIONAL IN REVIEWING THE FLOW OVER AN INFINITE FLAT WALL, STEADY MOTION OF A CIRCULAR CYLINDER IN A CONDUCTING FLUID, AND THE MHD JEFFREY-HAMEL PROBLEM.THE SIXTH CHAPTER DEALS WITH THE STOKES AND OSEEN FLOW OF A CONDUCTING FLUID.MHD BOUNDARY LAYER IS DESCRIBED IN CHAPTER 7.HERE, THE CLASSICAL PROBLEM OF BLASIUS BOUNDARY LAYER IS EXTENDED TO THE CASE OF A CONSTANT MAGNETIC FIELD.THE AUTHORS MAKE A DETAILED INVESTIGATION OF THIS PROBLEM TO ANALYZE THE CONNECTION BETWEEN ORDINARY AND MHD BOUNDARY LAYERS.CHAPTER 8 PRESENTS THE NUMERICAL SOLUTION OF MHD FLOW PAST A CIRCULAR CYLINDER AND A SEMI-INFINITE FLAT PLATE.THE LAST TWO CHAPTERS (9 AND 10) ARE DEVOTED TO EXPERIMENTS AND JETS IN MAGNETO-FLUID DYNAMICS.SIGNIFICANT EXPERIMENTAL CONTRIBUTIONS BY AUTHORS AND COLLEAGUES ARE ALSO PRESENTED HERE.FINALLY, TWO APPENDICES ON SOME SPECIAL ENGINEERING PROBLEMS AND ON HYDRODYNAMICS OF LIQUID METALS ARE ADDED.SOME RESULTS OBTAINED BY THE AUTHORS WHEN THE BOOK WAS IN PRINT CONCLUDE THE WORK.IN THE OPINION OF THE REVIEWER, THE AUTHORS' DEVELOPMENT OF TOPICS IS LOGICAL AND THE COMPOSITION OF CONTENTS IS EXCELLENT.EACH CHAPTER IN THE BOOK IS DEVELOPED RIGOROUSLY AND THE MATERIAL IS PRESENTED IN A CONCISE MANNER.THE MATHEMATICAL TREATMENT IS REMARKABLY CLEAR.MANY NUMERICAL AND EXPERIMENTAL DATA PROVIDE BETTER UNDERSTANDING.FIGURES ARE PLENTIFUL AND GENERALLY CLEAR.THE BOOK HAS A VAST BIBLIOGRAPHY INCLUDED AT THE END OF EACH CHAPTER, WHICH IS ESPECIALLY HELPFUL FOR RESEARCHERS.THE TEXT INCORPORATES MANY OF THE AUTHORS' ORIGINAL CONTRIBUTIONS.HOWEVER, REVIEWER BELIEVES THAT A MENTION OF THE ANALYTICAL AND NUMERICAL INVESTIGATIONS OF THE UNSTEADY MHD FLOW PROBLEMS WOULD BE OF INTEREST FOR RESEARCHERS IN THIS FIELD.IT IS HOPED THAT THE BOOK WILL BE MADE ACCESSIBLE IN ENGLISH BY SOME AMERICAN OR BRITISH PUBLISHER, SO THAT IT CAN BE STUDIED BY RESEARCHERS IN THIS FIELD.

Original languageEnglish
Journal[No source information available]
Issue number(1970)
StatePublished - 1970

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