Written to teach students the nature of transonic flow and its mathematical foundation, this book offers a much-needed introduction to transonic aerodynamics. The authors present a quantitative and qualitative assessment of subsonic, supersonic and transonic flow around bodies in two and three dimensions. The book reviews the governing equations and explores their applications and limitations as employed in modeling and computational fluid dynamics. Some concepts, such as shock and expansion theory, are examined from a numerical perspective. Others, including shock-boundary-layer interaction, are discussed from a qualitative point of view. The book includes 60 examples and more than 200 practice problems. The authors also offer analytical methods such as Method of Characteristics (MOC) that allow readers to practice with the subject matter. The result is a wealth of insight into transonic flow phenomena and their impact on aircraft design, including compressibility effects, shock and expansion waves, shock-boundary-layer interaction and aeroelasticity.

This self-contained book begins with fundamental principles and proceeds to the latest developments in the field. Using a systematic mathematical approach, it covers linearized and transonic theories, simple flows, general theories of lift and drag, subsonic flows, sonic flows, shock waves, airfoils and three-dimensional wings. Also discussed are far fields and the transonic law of stabilization.Significant mathematical areas which enter the discussion are: Partial Differential Equations of Mixed Type, Weak Solutions (Shock Waves), Hodograph Transformations, Similarity Solutions and New Numerical Methods for Equations of Mixed Type.

This volume offers exciting results, perspectives, and case studies for the treatment of problems arising in transonic aerodynamics. New advances including triple deck theory, analysis of stagnation at the nose of a body, transonic choked flow, and the transonic area rule are presented. Interest in analyzing the transonic range of flight, its stability properties, and especially the question of designing reduced drag (shockless or weak shock) airfoils keeps growing. Present day commercial aircraft cruise in the transonic range. Mechanical and aeronautical engineers interested in compressible fluid flows, design of optimal wings, and an understanding of transonic flow held about wings and airfoils will find the book invaluable. This book is understandable to those with a knowledge of continuum mechanics (fluids) and asymptotic methods. It is appropriate for graduate courses in aerodynamics and mathematical methods.

This volume complements Transonic aerodynamics (v.81 in the series) which is concerned with steady flow. This is the only book to address the subject of unsteady transonic aerodynamics, a field much different from steady aerodynamics. The most pronounced difference is the complex shock wave motions

ELEMENTS OF AERODYNAMICS An accessible and hands-on textbook filled with chapter objectives, examples, practice problems, sample tests, and an online aero-calculator In Elements of Aerodynamics, Professor Oscar Biblarz delivers a concise and fundamentals-oriented approach to aerodynamics suitable for both undergraduate and graduate-level students. The text offers numerous problems, examples, and check tests, allowing readers to gain and cement their knowledge through hands-on practice. Using a unique blend of fundamentals, the book provides students with a new approach to high lift airfoils including examples designed to complement the theory. It covers the most vital information on incompressible and compressible flow over two-dimensional and three-dimensional wings. A companion website that includes an interactive aero-calculator and additional student resources makes this a suitable text for online, hybrid, and distance learning. Readers will also find: A concise introduction to units and notation with discussion of the proper usage of dimensionless coefficients in aerodynamics, featuring descriptions of airflow as an incompressible and compressible low-viscosity medium past streamlined wings Comprehensive re-evaluation of the fundamentals of fluid dynamics, including the differential control volume approach and formulation of lift, drag, and pitching moments for thin, attached boundary layers over slender wings at high angles of attack Practical applications of mass, momentum, and energy relations, derived from Euler’s equation, Bernoulli’s equation, and the Kutta-Joukowski theorem Selected treatment of transonic and hypersonic aerodynamic aspects, including supercritical airfoils, the non-linear small perturbation potential equation, Newtonian theory, and hypersonic lift and drag Well-suited for students enrolled in an introductory aerodynamics course as part of an engineering program, Elements of Aerodynamics will also earn a place in the libraries of physics students and those interested in basic fluid mechanics.

Concise text discusses properties of wings and airfoils in incompressible and primarily inviscid flow, viscid flows, panel methods, finite difference methods, and computation of transonic flows past thin airfoils. 1984 edition.