Book contents
- Frontmatter
- Contents
- Preface
- Notation
- Abbreviations
- 1 Brief review of basic hydrodynamic theory
- 2 Properties of distributions of singularities
- 3 Kinematic boundary conditions
- 4 Steady flows about thin, symmetrical sections in two dimensions
- 5 Pressure distributions and lift on flat and cambered sections at small angles of attack
- 6 Design of hydrofoil sections
- 7 Real fluid effects and comparisons of theoretically and experimentally determined characteristics
- 8 Cavitation
- 9 Actuator disc theory
- 10 Wing theory
- 11 Lifting-line representation of propellers
- 12 Propeller design via computer and practical considerations
- 13 Hull-wake characteristics
- 14 Pressure fields generated by blade loading and thickness in uniform flows; comparisons with measurements
- 15 Pressure fields generated by blade loadings in hull wakes
- 16 Vibratory forces on simple surfaces
- 17 Unsteady forces on two-dimensional sections and hydrofoils of finite span in gusts
- 18 Lifting-surface theory
- 19 Correlations of theories with measurements
- 20 Outline of theory of intermittently cavitating propellers
- 21 Forces on simple bodies generated by intermittent cavitation
- 22 Pressures on hulls of arbitrary shape generated by blade loading, thickness and intermittent cavitation
- 23 Propulsor configurations for increased efficiency
- Appendices
- Mathematical compendium
- References
- Authors cited
- Sources of figures
- Index
10 - Wing theory
Published online by Cambridge University Press: 07 May 2010
- Frontmatter
- Contents
- Preface
- Notation
- Abbreviations
- 1 Brief review of basic hydrodynamic theory
- 2 Properties of distributions of singularities
- 3 Kinematic boundary conditions
- 4 Steady flows about thin, symmetrical sections in two dimensions
- 5 Pressure distributions and lift on flat and cambered sections at small angles of attack
- 6 Design of hydrofoil sections
- 7 Real fluid effects and comparisons of theoretically and experimentally determined characteristics
- 8 Cavitation
- 9 Actuator disc theory
- 10 Wing theory
- 11 Lifting-line representation of propellers
- 12 Propeller design via computer and practical considerations
- 13 Hull-wake characteristics
- 14 Pressure fields generated by blade loading and thickness in uniform flows; comparisons with measurements
- 15 Pressure fields generated by blade loadings in hull wakes
- 16 Vibratory forces on simple surfaces
- 17 Unsteady forces on two-dimensional sections and hydrofoils of finite span in gusts
- 18 Lifting-surface theory
- 19 Correlations of theories with measurements
- 20 Outline of theory of intermittently cavitating propellers
- 21 Forces on simple bodies generated by intermittent cavitation
- 22 Pressures on hulls of arbitrary shape generated by blade loading, thickness and intermittent cavitation
- 23 Propulsor configurations for increased efficiency
- Appendices
- Mathematical compendium
- References
- Authors cited
- Sources of figures
- Index
Summary
The flows about wings of finite span are sufficiently analogous to those about propeller blades to warrant a brief examination before embarking on the construction of a mathematical model of propellers. A more detailed account of wing theory is given for example by von K ármán & Burgers (1935).
A basic feature of the flow about a straight upward-lifting wing of finite span and starboard-port symmetry in a uniform axial stream is that the velocity vectors on both the lower and upper surfaces are not parallel to the longitudinal plane of symmetry. On the lower side the vectors are inclined outboard and on the upper side they are inclined inwardly in any vertical plane or section parallel to the vertical centerplane. This is a consequence of the pressure relief at the wing tips and the largest increase in pressure being in the centerplane on the lower side and the greatest decrease in pressure being in the centerplane on the upper or suction side. Thus there are positive spanwise pressure gradients on the lower side and negative spanwise gradients on the upper side which give rise to spanwise flow components which are obviously not present in two-dimensional flows.
In many treatments of wing theory one finds figures purporting to show the flow about a wing of finite aspect ratio in which there is a continuous line of stagnation points near the leading edge, extending from one wing tip to the other.
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- Hydrodynamics of Ship Propellers , pp. 196 - 206Publisher: Cambridge University PressPrint publication year: 1993