Rathakrishnan E. Theoretical Aerodynamics

John Wiley & Sons Singapore Pte. Ltd., 2013. XVIII, 541 p. — ISBN: 978-1-118-47934-6 (cloth).Theoretical Aerodynamics is a user-friendly text for a full course on theoretical aerodynamics. The author systematically introduces aerofoil theory, its design features and performance aspects, beginning with the basics required, and then gradually proceeding to higher level.
The mathematics involved is presented so that it can be followed comfortably, even by those who are not strong in mathematics. The examples are designed to fix the theory studied in an effective manner. Throughout the book, the physics behind the processes are clearly explained. Each chapter begins with an introduction and ends with a summary and exercises.This book is intended for graduate and advanced undergraduate students of Aerospace Engineering, as well as researchers and Designers working in the area of aerofoil and blade design.Provides a complete overview of the technical terms, vortex theory, lifting line theory, and numerical methods.
Presented in an easy-to-read style making full use of figures and illustrations to enhance understanding, and moves well simpler to more advanced topics.
Includes a complete section on fluid mechanics and thermodynamics, essential background topics to the theory of aerodynamics.
Blends the mathematical and physical concepts of design and performance aspects of lifting surfaces, and introduces the reader to the thin aerofoil theory, panel method, and finite aerofoil theory.
Includes a Solutions Manual for end-of-chapter exercises, and Lecture slides on the book's Companion Website.Basics.Lift and Drag.
Monoplane Aircraft.
Biplane.
Triplane.
Aspect Ratio.
Camber.
Incidence.
Aerodynamic Force.
Scale Effect.
Force and Moment Coefficients.
The Boundary Layer.Exercise Problems.Essence of Fluid Mechanics.Properties of Fluids.
Thermodynamic Properties.
Surface Tension.
Analysis of Fluid Flow.
Basic and Subsidiary Laws.
Kinematics of Fluid Flow.
Streamlines.
Potential Flow.
Combination of Simple Flows.
Flow Past a Half-Body.
Flow Past a Circular Cylinder without Circulation.
Viscous Flows.
Compressible Flows.Exercise Problems.Conformal Transformation.Basic Principles.
Complex Numbers.Exercise Problems.
Transformation of Flow Pattern.Methods for Performing Transformation.
Examples of Simple Transformation.
Kutta−Joukowski Transformation.
Transformation of Circle to Straight Line.
Transformation of Circle to Ellipse.
Transformation of Circle to Symmetrical Aerofoil.
Transformation of a Circle to a Cambered Aerofoil.
Transformation of Circle to Circular Arc.
Joukowski Hypothesis.
Lift of Joukowski Aerofoil Section.
The Velocity and Pressure Distributions on the Joukowski Aerofoil.
The Exact Joukowski Transformation Process and Its Numerical Solution.
The Velocity and Pressure Distribution.
Aerofoil Characteristics.
Parameters Governing the Aerodynamic Forces.
Aerofoil Geometry.
Wing Geometrical Parameters.
Aerodynamic Force and Moment Coefficients.
Moment Coefficient.Exercise Problems.Vortex Theory.Vorticity Equation in Rectangular Coordinates.
Circulation.
Line (point) Vortex.
Laws of Vortex Motion.
Helmholtz’s Theorems.
Vortex Theorems.
Calculation of uR, the Velocity due to Rotational Flow.
Biot-Savart Law.
Vortex Motion.
Forced Vortex.
Free Vortex.
Free Spiral Vortex.
Compound Vortex.
Physical Meaning of Circulation.
Rectilinear Vortices.
Circular Vortex.
Velocity Distribution.
Size of a Circular Vortex.
Point Rectilinear Vortex.
Vortex Pair.
Image of a Vortex in a Plane.
Vortex between Parallel Plates.
Force on a Vortex.
Mutual action of Two Vortices.
Energy due to a Pair of Vortices.
Line Vortex.Exercise Problems.Thin Aerofoil Theory.General Thin Aerofoil Theory.
Solution of the General Equation.
The Circular Arc Aerofoil.
Lift, Pitching Moment, and the Center of Pressure Location for Circular Arc Aerofoil.
The General Thin Aerofoil Section.
Lift, Pitching Moment and Center of Pressure Coefficients for a Thin Aerofoil.
Flapped Aerofoil.Exercise Problems.Panel Method.Source Panel Method.
The Vortex Panel Method.
Pressure Distribution around a Circular Cylinder by Source Panel Method.
Using Panel Methods.Exercise Problems.Finite Aerofoil Theory.Relationship between Spanwise Loading and Trailing Vorticity.
Downwash.
Characteristics of a Simple Symmetrical Loading – Elliptic Distribution.
Aerofoil Characteristic with a More General Distribution.
The Vortex Drag for Modified Loading.
Lancaster – Prandtl Lifting Line Theory.
Effect of Downwash on Incidence.
The Integral Equation for the Circulation.
Elliptic Loading.
Aerodynamic Characteristics of Asymmetric Loading.
Lifting Surface Theory.
Aerofoils of Small Aspect Ratio.
Lifting Surface.Exercise Problems.
Compressible Flows.Thermodynamics of Compressible Flows.
Isentropic Flow.
Discharge from a Reservoir.
Compressible Flow Equations.
Crocco’s Theorem.
The General Potential Equation for Three-Dimensional Flow.
Linearization of the Potential Equation.
Potential Equation for Bodies of Revolution.
Boundary Conditions.
Bodies of Revolution.
Pressure Coefficient.
Similarity Rule.
Two-Dimensional Flow: Prandtl-Glauert Rule for Subsonic Flow.
Prandtl-Glauert Rule for Supersonic Flow: Versions I and II.
The von Karman Rule for Transonic Flow.
Hypersonic Similarity.
Three-Dimensional Flow: The Gothert Rule.
Moving Disturbance.
Normal Shock Waves.
Change of Total Pressure across a Shock.
Oblique Shock and Expansion Waves.
Thin Aerofoil Theory.
Two-Dimensional Compressible Flows.
General Linear Solution for Supersonic Flow.
Flow over a Wave-Shaped Wall.Exercise Problems.Simple Flights.Linear Flight.
Stalling.
Gliding.
Straight Horizontal Flight.
Sudden Increase of Incidence.
Straight Side-Slip.
Banked Turn.
Phugoid Motion.
The Phugoid Oscillation.Exercise Problems.
Further Readings.