Aero-hydrodynamics and the Performance of Sailing Yachts


Book Description

A groundbreaking technical analysis of yacht design based on cutting edge research in the field of aero-hydrodynamics.




Hurricane Mitigation for the Built Environment


Book Description

"Alvarez drives home the point that for buildings and communities located in hurricane-prone regions, it is not a question of whether the area will be impacted, but when it will be impacted. The book makes a strong case for taking responsibility to understand the vulnerabilities of buildings and structures to hurricane impacts." Timothy Reinhold, P




Applications of Group-Theoretical Methods in Hydrodynamics


Book Description

It was long ago that group analysis of differential equations became a powerful tool for studying nonlinear equations and boundary value problems. This analysis was especially fruitful in application to the basic equations of mechanics and physics because the invariance principles are already involved in their derivation. It is in no way a coincidence that the equations of hydrodynamics served as the first object for applying the new ideas and methods of group analysis which were developed by 1. V. Ovsyannikov and his school. The authors rank themselves as disciples of the school. The present monograph deals mainly with group-theoretic classification of the equations of hydrodynamics in the presence of planar and rotational symmetry and also with construction of exact solutions and their physical interpretation. It is worth noting that the concept of exact solution to a differential equation is not defined rigorously; different authors understand it in different ways. The concept of exact solution expands along with the progress of mathematics (solu tions in elementary functions, in quadratures, and in special functions; solutions in the form of convergent series with effectively computable terms; solutions whose searching reduces to integrating ordinary differential equations; etc. ). We consider it justifiable to enrich the set of exact solutions with rank one and rank two in variant and partially invariant solutions to the equations of hydrodynamics.










The Symmetry of Sailing


Book Description

Here is a detailed study of the motive forces of a yacht written in clear and accessible terms. The author has the rare gift of enabling his readers to relate the nautical phenomena with which they are so familiar to a scientific explanation of how and why these occur. The first part covers downwind sailing, upwind sailing, sails, the hull, and the dynamic motion of a yacht. Part Two is devoted to more mathematical explanations of the same phenomena for those requiring a more scientific approach.




The Natural Law of Cycles


Book Description

The Natural Law of Cycles assembles scientific work from different disciplines to show how research on angular momentum and rotational symmetry can be used to develop a law of energy cycles as a local and global influence. Angular momentum regulates small-scale rotational cycles such as the swimming of fish in water, the running of animals on land, and the flight of birds in air. Also, it regulates large-scale rotation cycles such as global currents of wind and water.James H. Bunn introduces concepts of symmetry, balance, and angular momentum, showing how together they shape the mobile symmetries of animals. Chapter 1 studies the configurations of animals as they move in a head-first direction. Chapter 2 shows how sea animals follow currents and tides generated by the rotational cycles of the earth. In chapter 3, Bunn explores the biomechanical pace of walking as a partial cycle of rotating limbs. On a large scale, angular momentum governs balanced shifts in plate tectonics.Chapter 4 begins with an examination of rotational wind patterns in terms of the counter-balancing forces of angular momentum. The author shows how these winds augment the flights of birds during migrations. A final chapter centres on the conservation of energy as the most basic principle of science. Bunn argues that in the nineteenth century the unity of nature was seen in the emergent concept of energy, not matter, as the source of power, including the movements of animals and machines. In each chapter Bunn features environmental writers who celebrate mobile symmetries. This book will interest students, naturalists, and advocates of the environmental movement.




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Book Description