Why do aircraft fly? How do their wings support them? In the early years of aviation, there was an intense dispute between British and German experts over the question of why and how an aircraft wing provides lift. The British, under the leadership of the great Cambridge mathematical physicist Lord Rayleigh, produced highly elaborate investigations of the nature of discontinuous flow, while the Germans, following Ludwig Prandtl in Göttingen, relied on the tradition called “technical mechanics” to explain the flow of air around a wing. Much of the basis of modern aerodynamics emerged from this remarkable episode, yet it has never been subject to a detailed historical and sociological analysis. In The Enigma of the Aerofoil, David Bloor probes a neglected aspect of this important period in the history of aviation. Bloor draws upon papers by the participants—their restricted technical reports, meeting minutes, and personal correspondence, much of which has never before been published—and reveals the impact that the divergent mathematical traditions of Cambridge and Göttingen had on this great debate. Bloor also addresses why the British, even after discovering the failings of their own theory, remained resistant to the German circulation theory for more than a decade. The result is essential reading for anyone studying the history, philosophy, or sociology of science or technology—and for all those intrigued by flight.

This truly philosophical book takes us back to fundamentals - the sheer experience of proof, and the enigmatic relation of mathematics to nature. It asks unexpected questions, such as 'what makes mathematics mathematics?', 'where did proof come from and how did it evolve?', and 'how did the distinction between pure and applied mathematics come into being?' In a wide-ranging discussion that is both immersed in the past and unusually attuned to the competing philosophical ideas of contemporary mathematicians, it shows that proof and other forms of mathematical exploration continue to be living, evolving practices - responsive to new technologies, yet embedded in permanent (and astonishing) facts about human beings. It distinguishes several distinct types of application of mathematics, and shows how each leads to a different philosophical conundrum. Here is a remarkable body of new philosophical thinking about proofs, applications, and other mathematical activities.

Fluid mechanical aspects of separated and vortical flow in aircraft wing aerodynamics are treated. The focus is on two wing classes: (1) large aspect-ratio wings and (2) small aspect-ratio delta-type wings. Aerodynamic design issues in general are not dealt with. Discrete numerical simulation methods play a progressively larger role in aircraft design and development. Accordingly, in the introduction to the book the different mathematical models are considered, which underlie the aerodynamic computation methods (panel methods, RANS and scale-resolving methods). Special methods are the Euler methods, which as rather inexpensive methods embrace compressibility effects and also permit to describe lifting-wing flow. The concept of the kinematically active and inactive vorticity content of shear layers gives insight into many flow phenomena, but also, with the second break of symmetry---the first one is due to the Kutta condition---an explanation of lifting-wing flow fields. The prerequisite is an extended definition of separation: “flow-off separation” at sharp trailing edges of class (1) wings and at sharp leading edges of class (2) wings. The vorticity-content concept, with a compatibility condition for flow-off separation at sharp edges, permits to understand the properties of the evolving trailing vortex layer and the resulting pair of trailing vortices of class (1) wings. The concept also shows that Euler methods at sharp delta or strake leading edges of class (2) wings can give reliable results. Three main topics are treated: 1) Basic Principles are considered first: boundary-layer flow, vortex theory, the vorticity content of shear layers, Euler solutions for lifting wings, the Kutta condition in reality and the topology of skin-friction and velocity fields. 2) Unit Problems treat isolated flow phenomena of the two wing classes. Capabilities of panel and Euler methods are investigated. One Unit Problem is the flow past the wing of the NASA Common Research Model. Other Unit Problems concern the lee-side vortex system appearing at the Vortex-Flow Experiment 1 and 2 sharp- and blunt-edged delta configurations, at a delta wing with partly round leading edges, and also at the Blunt Delta Wing at hypersonic speed. 3) Selected Flow Problems of the two wing classes. In short sections practical design problems are discussed. The treatment of flow past fuselages, although desirable, was not possible in the frame of this book.

This fully illustrated volume explores German military aviation during WWI through archival photographs and authentically detailed replicas. Fighter aircraft were developed during World War I at an unprecedented rate, as nascent air forces sought to achieve and maintain air supremacy. German manufacturers innovated at top speed, while constantly scrutinizing the development of new enemy aircraft. The Germans also utilized the concept of modular engineering, which allowed them to disassembled or reassembled their aircraft quickly in the field. The pinnacle of their aeronautical innovations was the iconic Fokker D VII—the only aircraft specifically mentioned in the Treaty of Versailles, which forbade Germany from building it after the war. German Fighter Aircraft in World War I explores how German fighter aircraft were developed during the war, the advancements and trials that made the Fokker D VII possible, and the different makes and types of aircraft. Using unpublished images including photographs of surviving aircraft, archive images, and models and replicas, this volume shows details of aircraft that were kept top secret during the war. Extensively illustrated with 140 photos and ten color profiles, this is will be essential reading for all WWI aviation enthusiasts and modelers.

The Golden Age of Aviation is brought to life in this story of the giant Zeppelin airships that once roamed the sky—a story that ended with the fiery destruction of the Hindenburg. “Genius . . . a definitive tale of an incredible time when mere mortals learned to fly.”—Keith O’Brien, The New York Times At the dawn of the twentieth century, when human flight was still considered an impossibility, Germany’s Count Ferdinand von Zeppelin vied with the Wright Brothers to build the world’s first successful flying machine. As the Wrights labored to invent the airplane, Zeppelin fathered the remarkable airship, sparking a bitter rivalry between the two types of aircraft and their innovators that would last for decades, in the quest to control one of humanity’s most inspiring achievements. And it was the airship—not the airplane—that led the way. In the glittery 1920s, the count’s brilliant protégé, Hugo Eckener, achieved undreamed-of feats of daring and skill, including the extraordinary Round-the-World voyage of the Graf Zeppelin. At a time when America’s airplanes—rickety deathtraps held together by glue, screws, and luck—could barely make it from New York to Washington, D.C., Eckener’s airships serenely traversed oceans without a single crash, fatality, or injury. What Charles Lindbergh almost died doing—crossing the Atlantic in 1927—Eckener had effortlessly accomplished three years before the Spirit of St. Louis even took off. Even as the Nazis sought to exploit Zeppelins for their own nefarious purposes, Eckener built his masterwork, the behemoth Hindenburg—a marvel of design and engineering. Determined to forge an airline empire under the new flagship, Eckener met his match in Juan Trippe, the ruthlessly ambitious king of Pan American Airways, who believed his fleet of next-generation planes would vanquish Eckener’s coming airship armada. It was a fight only one man—and one technology—could win. Countering each other’s moves on the global chessboard, each seeking to wrest the advantage from his rival, the struggle for mastery of the air was a clash not only of technologies but of business, diplomacy, politics, personalities, and the two men’s vastly different dreams of the future. Empires of the Sky is the sweeping, untold tale of the duel that transfixed the world and helped create our modern age.

This book integrates history of science and technology with modern social network theory. Using examples from the history of machines, as well as case studies from wireless, radio and chaos theory, the author challenges the genius model of invention. Network analysis concepts are presented to demonstrate the societal nature of invention in areas such as steam power, internal combustion engines, early aviation, air conditioning and more. Using modern measures of network theory, the author demonstrates that the social networks of invention from the 19th and early 20th centuries have similar characteristics to modern 21st C networks such as the World Wide Web. The book provides evidence that exponential growth in technical innovation is linked to the growth of historical innovation networks.

Keith Lucas was killed instantly when his BE2 biplane collided with that of a colleague over Salisbury Plain on 5 October 1916. As a captain in the Royal Flying Corps, Lucas would have known that his death was a very real risk of the work he was doing in support of Britain's war effort. But Lucas wasn't a career pilot - he was a scientist. The Flying Mathematicians of World War I details the advances and sacrifices of a select group of pioneers who left the safety of their laboratories to drive aeronautics forward at a critical moment in history. These mathematicians and scientists, including Lucas, took up the challenge to advance British aviation during the war and soon realized that they would need to learn how to fly themselves if they were to complete their mission. Set in the context of a new field of engineering, driven apace by conflict, the book follows Lucas and his colleagues as they endured freezing cockpits and engaged in aerial versions of Russian roulette in order to expand our understanding of aeronautics. Tony Royle deftly navigates this fascinating history of technical achievement, imagination, and ingenuity punctuated by bravery, persistence, and tragedy. As a result, The Flying Mathematicians of World War I makes accessible the mathematics and the personal stories that forever changed the course of aviation.

How did science come to have such a central place in Western culture? How did our ways of thinking, and our moral, political, and social values, come to be modelled around scientific values? Stephen Gaukroger traces the story of how these values developed, and how they influenced society and culture from the 19th to the mid-20th century.

The present book describes the development history of turbojet engines, mainly in the web-type triangle Great Britain (USA) - Germany - Switzerland from early beginnings in the 1920s up to the first practical usage in the 1950s, before the still unbroken, grand impact of aero propulsion technology on global air traffic started. interconnections are highlighted, including the considerable impact of axial-flow compressor design know-how of the Swiss/German company BBC Brown Boveri & Cie. on both sides. The author reveals significant undercurrents which led to a considerable exchange, and thus change in understanding of the technical-historical perspective, especially in the decisive years before WWII, and thus closes gaps in the unilateral views of this ground-breaking technical advancement. The old ‘Whittle vs. von Ohain Saga’ is not repeated in full, but addressed in sufficient detail to understand the considerably enlarged narrative scope.

For a long time, World War I has been shortchanged by the historiography of science. Until recently, World War II was usually considered as the defining event for the formation of the modern relationship between science and society. In this context, the effects of the First World War, by contrast, were often limited to the massive deaths of promising young scientists. By focusing on a few key places (Paris, Cambridge, Rome, Chicago, and others), the present book gathers studies representing a broad spectrum of positions adopted by mathematicians about the conflict, from militant pacifism to military, scientific, or ideological mobilization. The use of mathematics for war is thoroughly examined. This book suggests a new vision of the long-term influence of World War I on mathematics and mathematicians. Continuities and discontinuities in the structure and organization of the mathematical sciences are discussed, as well as their images in various milieux. Topics of research and the values with which they were defended are scrutinized. This book, in particular, proposes a more in-depth evaluation of the issue of modernity and modernization in mathematics. The issue of scientific international relations after the war is revisited by a close look at the situation in a few Allied countries (France, Britain, Italy, and the USA). The historiography has emphasized the place of Germany as the leading mathematical country before WWI and the absurdity of its postwar ostracism by the Allies. The studies presented here help explain how dramatically different prewar situations, prolonged interaction during the war, and new international postwar organizations led to attempts at redrafting models for mathematical developments.