An alternative formulation of the lifting line wing equation and its solution
Gawain, Theodore Henry
MetadataShow full item record
In the report, the standard wing equation, as normally derived from lifting line theory, is further refined and a solution procedure more basic than the usual collocation technique is developed. The calculation method adopted avoids the necessity of performing an explicit matrix inversion; all equations can be solved sequentially, one at a time. On the other hand this technique involves the evaluation of numerous integrals over the span. The calculations are cumulative, and can be carried as far as necessary to achieve any required degree of accuracy. The analysis is interesting not only for purposes of practical calculation but also for the light it sheds on the essential mathematical structure of the basic aerodynamic phenomena involved. This same general method of calculation can also be readily adapted to the solution of other common types of engineering problems. (Author)
RightsThis publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
NPS Report NumberNPS-57GN73121A
Showing items related by title, author, creator and subject.
Johnson, Robert A. (Monterey, California: U.S. Naval Postgraduate School, 1965);Many rotors of recent design must run at the highest possible peripheral speeds, for example, gas or vapor turbines for space flight. Therefore, to reduce weight, a more accurate and adaptable solution is needed. Although ...
Silverberg, Jon P. (Monterey, California. Naval Postgraduate School, 2005-01);Classically, fluid dynamics have been dealt with analytically because of the lack of numerical resources (Yeung, 1982). With the development of computational ability, many formulations have been developed which typically ...
Loveland, Kenneth Wilder (Monterey, California. Naval Postgraduate School, 1968-06);The virtual mass of circular cylinders immersed in a uniformly stratified nonhomogeneous fluid medium has been investigated both theoretically and experimentally. The experimental equipment consisted of a reservoir ...