{"title":"刚体旋转与平面通道中的流体变形力学","authors":"T. Bridges","doi":"10.1080/00107514.2022.2128881","DOIUrl":null,"url":null,"abstract":"This book is wide ranging, in the area of viscous fluid mechanics in general, and in the areas of rotating viscous flow and plane channel flow in particular. At first, it appears that the theme is classical fluid dynamics, as plane channel flow is one of the great historical problems in fluid dynamics, but a closer examination shows a modern book that is distinctly original. It combines functional analysis, geometry, vector analysis, and most importantly presents a new approach to rotational viscous flows. The book builds up to Part 5 (Plane Channel Flow Stability), where a new viewpoint on vortical flows, as infinitedimensional rotations, is presented. The three chapters in Part 5 are a beautiful blend of insight and elementary analysis, leading into rigorous functional analysis. On the other hand, the functional analysis is presented in a way that is very accessible. Concepts such as non-commutative inertia, vortex phantoms, vortex catastrophe, adjoined spectral problem, and a range of rigorous concepts of stability are introduced and explained. The book ends with a major lemma which takes over two pages to state! However, it is a very accessible lemma (on the Rayleigh function), and takes only two more pages to complete the proof. The remainder of the book is a buildup to Part 5 via Parts 1–4. Part 1 (Velocity Strain) is a review of the basics of fluid motion from a perspective that the author will need later, with a distinctly geometric flavour. Part 2 (Rigid Body Rotations) reviews angular motion in classical mechanics and in particular angular friction with the dissipative spinning top as an example, giving new insight into this classical problem. Part 3 (Conservation Laws) discusses momentum conservation, role of viscosity and heat conductivity, with the highlight of this part a discussion of ‘centrifuge’, which is used to explain some of the anomalies of rotating viscous flows. Torsional rotations are discussed, including some deep analysis of the author, explaining some of the strange behaviour witnessed in experiments. This analysis is supported by direct numerical simulations. Part 4 (Turbulence) starts to get into more challenging aspects of fluid flow. The main theme is the concept of a ‘turbulence force’. The force is normal integration of the correlation matrix of the velocity pulsation. It is in principle measurable experimentally and can be extracted from numerical simulations. A range of results using the turbulence force and its generalisations are proved, going so far afield as to relate it to dark matter in astrophysics. This book is a welcome addition to the literature in fluid mechanics, and I have no hesitation in recommending it. The book is not a textbook as it is too advanced in most places. It is a book about insight along with a body of methodology, which takes the study of channel flow and rotating viscous flows in a new direction. Its most effective audience is postdoctoral scholars and academic researchers, as it presents an alternative view of how to study rotating viscous flows, thereby widening the research perspective. The book is of reasonable length, coming in at less than 300 pages, but it is a bit pricey at £85 for the hardback, although many university libraries willmake it available electronically for researchers.","PeriodicalId":50620,"journal":{"name":"Contemporary Physics","volume":"20 1","pages":"156 - 156"},"PeriodicalIF":3.3000,"publicationDate":"2022-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Mechanics of fluid deformations in rigid body rotations and plane channel F\",\"authors\":\"T. Bridges\",\"doi\":\"10.1080/00107514.2022.2128881\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This book is wide ranging, in the area of viscous fluid mechanics in general, and in the areas of rotating viscous flow and plane channel flow in particular. At first, it appears that the theme is classical fluid dynamics, as plane channel flow is one of the great historical problems in fluid dynamics, but a closer examination shows a modern book that is distinctly original. It combines functional analysis, geometry, vector analysis, and most importantly presents a new approach to rotational viscous flows. The book builds up to Part 5 (Plane Channel Flow Stability), where a new viewpoint on vortical flows, as infinitedimensional rotations, is presented. The three chapters in Part 5 are a beautiful blend of insight and elementary analysis, leading into rigorous functional analysis. On the other hand, the functional analysis is presented in a way that is very accessible. Concepts such as non-commutative inertia, vortex phantoms, vortex catastrophe, adjoined spectral problem, and a range of rigorous concepts of stability are introduced and explained. The book ends with a major lemma which takes over two pages to state! However, it is a very accessible lemma (on the Rayleigh function), and takes only two more pages to complete the proof. The remainder of the book is a buildup to Part 5 via Parts 1–4. Part 1 (Velocity Strain) is a review of the basics of fluid motion from a perspective that the author will need later, with a distinctly geometric flavour. Part 2 (Rigid Body Rotations) reviews angular motion in classical mechanics and in particular angular friction with the dissipative spinning top as an example, giving new insight into this classical problem. Part 3 (Conservation Laws) discusses momentum conservation, role of viscosity and heat conductivity, with the highlight of this part a discussion of ‘centrifuge’, which is used to explain some of the anomalies of rotating viscous flows. Torsional rotations are discussed, including some deep analysis of the author, explaining some of the strange behaviour witnessed in experiments. This analysis is supported by direct numerical simulations. Part 4 (Turbulence) starts to get into more challenging aspects of fluid flow. The main theme is the concept of a ‘turbulence force’. The force is normal integration of the correlation matrix of the velocity pulsation. It is in principle measurable experimentally and can be extracted from numerical simulations. A range of results using the turbulence force and its generalisations are proved, going so far afield as to relate it to dark matter in astrophysics. This book is a welcome addition to the literature in fluid mechanics, and I have no hesitation in recommending it. The book is not a textbook as it is too advanced in most places. It is a book about insight along with a body of methodology, which takes the study of channel flow and rotating viscous flows in a new direction. Its most effective audience is postdoctoral scholars and academic researchers, as it presents an alternative view of how to study rotating viscous flows, thereby widening the research perspective. The book is of reasonable length, coming in at less than 300 pages, but it is a bit pricey at £85 for the hardback, although many university libraries willmake it available electronically for researchers.\",\"PeriodicalId\":50620,\"journal\":{\"name\":\"Contemporary Physics\",\"volume\":\"20 1\",\"pages\":\"156 - 156\"},\"PeriodicalIF\":3.3000,\"publicationDate\":\"2022-04-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Contemporary Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1080/00107514.2022.2128881\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Contemporary Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1080/00107514.2022.2128881","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Mechanics of fluid deformations in rigid body rotations and plane channel F
This book is wide ranging, in the area of viscous fluid mechanics in general, and in the areas of rotating viscous flow and plane channel flow in particular. At first, it appears that the theme is classical fluid dynamics, as plane channel flow is one of the great historical problems in fluid dynamics, but a closer examination shows a modern book that is distinctly original. It combines functional analysis, geometry, vector analysis, and most importantly presents a new approach to rotational viscous flows. The book builds up to Part 5 (Plane Channel Flow Stability), where a new viewpoint on vortical flows, as infinitedimensional rotations, is presented. The three chapters in Part 5 are a beautiful blend of insight and elementary analysis, leading into rigorous functional analysis. On the other hand, the functional analysis is presented in a way that is very accessible. Concepts such as non-commutative inertia, vortex phantoms, vortex catastrophe, adjoined spectral problem, and a range of rigorous concepts of stability are introduced and explained. The book ends with a major lemma which takes over two pages to state! However, it is a very accessible lemma (on the Rayleigh function), and takes only two more pages to complete the proof. The remainder of the book is a buildup to Part 5 via Parts 1–4. Part 1 (Velocity Strain) is a review of the basics of fluid motion from a perspective that the author will need later, with a distinctly geometric flavour. Part 2 (Rigid Body Rotations) reviews angular motion in classical mechanics and in particular angular friction with the dissipative spinning top as an example, giving new insight into this classical problem. Part 3 (Conservation Laws) discusses momentum conservation, role of viscosity and heat conductivity, with the highlight of this part a discussion of ‘centrifuge’, which is used to explain some of the anomalies of rotating viscous flows. Torsional rotations are discussed, including some deep analysis of the author, explaining some of the strange behaviour witnessed in experiments. This analysis is supported by direct numerical simulations. Part 4 (Turbulence) starts to get into more challenging aspects of fluid flow. The main theme is the concept of a ‘turbulence force’. The force is normal integration of the correlation matrix of the velocity pulsation. It is in principle measurable experimentally and can be extracted from numerical simulations. A range of results using the turbulence force and its generalisations are proved, going so far afield as to relate it to dark matter in astrophysics. This book is a welcome addition to the literature in fluid mechanics, and I have no hesitation in recommending it. The book is not a textbook as it is too advanced in most places. It is a book about insight along with a body of methodology, which takes the study of channel flow and rotating viscous flows in a new direction. Its most effective audience is postdoctoral scholars and academic researchers, as it presents an alternative view of how to study rotating viscous flows, thereby widening the research perspective. The book is of reasonable length, coming in at less than 300 pages, but it is a bit pricey at £85 for the hardback, although many university libraries willmake it available electronically for researchers.
期刊介绍:
Contemporary Physics presents authoritative and lucid introductory review articles on important recent developments in physics. The articles are specially commissioned from experts in their field. The authors aim to review comprehensively the current state of their subject and place it within a broader context of contemporary research, industrial possibilities and applications in an accessible way.
The Journal is of particular use to undergraduates, teachers and lecturers and those starting postgraduate studies who wish to be introduced to a new area. Readers should be able to understand the review without reference to other material, although authors provide a full set of references so that those who wish to explore further can do so. The reviews can also be profitably read by all those who wish to keep abreast of the fields outside their own, or who need an accessible introduction to a new area.
Articles are written for a wide range of readers, whether they be physicists, physical scientists or engineers employed in higher education, teaching, industry or government.
Contemporary Physics also contains a major section devoted to standard book reviews and essay reviews which review books in the context of the general aspects of a field.