Theoretical Calculation of Viscous-inviscid Transonic Flows

Theoretical Calculation of Viscous-inviscid Transonic Flows
Author: Tsze C. Tai
Publisher:
Total Pages: 58
Release: 1980
Genre: Viscous flow
ISBN:

The current status of computational capabilities for calculating viscous-inviscid transonic flows other than the solution of Navier-Stokes equations is presented. Techniques for solving transonic inviscid flows and compressible integral boundary layer methods are reviewed, and systems for strong viscous-inviscid interactions are described. Generally, the transonic viscous-inviscid interaction is characterized by a subcritical boundary layer with a supersonic outer stream. The thickening boundary layer produces a pressure rise which causes further thickening of the boundary layer. The physical flow is best modeled by direct coupling of the viscous and inviscid systems to allow immediate interaction between the shock wave and the boundary layer. It appears that the method of integral relations for the outer inviscid flow, combined with an integral boundary layer scheme, possesses such a capability. To facilitate the computation, an hybrid approach to the transonic inviscid solution, which consists of the finite difference method for solving the overall transonic inviscid potential flow field and the method of integral relations for solving Euler's equation in the shock region, is suggested. Finally, the application of the steady two-dimensional methods to the quasi two-dimensional problem on axisymmetric stream surface of a cascade flow at transonic speeds is discussed. (Author).

Introduction to Transonic Aerodynamics

Introduction to Transonic Aerodynamics
Author: Roelof Vos
Publisher: Springer
Total Pages: 561
Release: 2015-03-04
Genre: Technology & Engineering
ISBN: 9401797471

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.

Numerical and Physical Aspects of Aerodynamic Flows II

Numerical and Physical Aspects of Aerodynamic Flows II
Author: T. Cebeci
Publisher: Springer Science & Business Media
Total Pages: 412
Release: 2013-06-29
Genre: Science
ISBN: 3662090147

The Second Symposium on Numerical and Physical Aspects of Aerodynamic Flows was held at California State University, Long Beach, from 17 to 20 January 1983. Forty-eight papers were presented, including Keynote Lec tures by A. M. 0. Smith and J. N. Nielsen, in ten technical sessions which were supplemented and complemented by two Open Forum Sessions, involving a further sixteen technical presentations and a Panel Discussion on the "Identification of priorities for the development of calculation methods for aerodynamic bodies. " The Symposium was attended by 120 research workers from nine countries and, as in the First Symposium, provided a basis for research workers to communicate, to assess the present status of the subject and to formulate priorities for the future. In contrast to the First Symposium, the papers and discussion were focused more clearly on the subject of flows involving the interaction between viscous and inviscid regions and the calculation of pressure, velocity and temperature characteristics as a function of geometry, angle of attack and Mach number. Rather more than half the papers were concerned with two-dimensional configurations and the remainder with wings, missiles and ships. This volume presents a selection of the papers concerned with two dimensional flows and a review article specially prepared to provide essen tial background information and link the topics of the individual papers.