Skip to main content Accessibility help
×
Hostname: page-component-76fb5796d-2lccl Total loading time: 0 Render date: 2024-04-29T17:33:05.891Z Has data issue: false hasContentIssue false

6 - Incompressible Flow about Wings of Finite Span

Published online by Cambridge University Press:  05 February 2012

Gary A. Flandro
Affiliation:
The University of Tennessee Space Institute
Get access

Summary

In 1908, Lanchester visited Göttingen (University), Germany and fully discussed his wing theory with Ludwig Prandtl and his student, Theodore von Kàrmàn. Prandtl spoke no English, Lanchester spoke no German, and in light of Lanchester's unclear ways of explaining his ideas, there appeared to be little chance of understanding between the two parties. However, in 1914, Prandtl set forth a simple, clear, and correct theory for calculating the effect of tip vortices on the aerodynamic characteristics of finite wings. It is virtually impossible to assess how much Prandtl was influenced by Lanchester, but to Prandtl must go the credit …

John D. Anderson, Jr., Introduction to Flight, 1978

Introduction

This chapter considers steady, inviscid, incompressible flow about a lifting wing of arbitrary section and planform. Because the flow around a wing is not identical at all stations between the two ends of the wing, the lifting finite wing constitutes a three-dimensional flow problem. The two wing tips are located at distance ±b/2, where b is the wing span.

Certain terms must be defined before a study of finite wings can be begun (Fig. 6.1). The coordinate axis system used is shown in Fig. 6.1a. A wing section is defined as any cross section of a wing as viewed in any vertical plane parallel to the x-z plane. It also is called an airfoil section. The wing may be of constant section or variable section. If a wing is of constant section, wing sections at any spanwise station have the same shape (e.g., NACA 2312). If a wing is of variable section, the wing-section shape varies at different spanwise locations. For example, a wing of variable section might have a NACA 0012 at the root section (i.e., the section in the plane of symmetry at y = 0), then smoothly change in the spanwise direction until the wing had, a NACA 2312 section at the tip.

Type
Chapter
Information
Basic Aerodynamics
Incompressible Flow
, pp. 218 - 280
Publisher: Cambridge University Press
Print publication year: 2011

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Anderson, J. D.Fundamentals of Aerodynamics,McGraw-Hill, New York 1984Google Scholar
Applied Computational AerodynamicsHenne, P. A. 125 1990CrossRef
Bangasser, C. T. 1993
Boermans, L. M. M. 2006
Dillinger, J.Boermans, L. M. M. 2006
Flechner, S. G.Jacobs, P. F.Whitcomb, R. T. 1976
Katz, J.Plotkin, A.Low Speed Aerodynamics—From Wing Theory to Panel MethodsMcGraw Hill, NewYork 1991Google Scholar
Margason, R. J.Kjelgaard, S. O.Sellers, W. L.Morris, C. E.Walkey, K. B.Shields, E. W. 1985
Nelson, R. C. 1991
Polhamus, E. C. 1966
Polhamus, E. C. 1968
Polhamus, E. C. 1971
Ross, H. M.Perkins, J. N.AIAA Journal of Aircraft 31 1994 767CrossRef
Rinoie, K.Stollery, J. L.Experimental Studies of Vortex Flaps and Vortex PlatesAIAA Journal of Aircraft 31 322 1994CrossRefGoogle Scholar
Serrin, J.Flugge, S.Handbuch der PhysikSpringer-VerlagBerlin, Heidelberg, New York125 1959Google Scholar
Thomas, J. L.11 1976
Whitcomb, R. T. 1976

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×