Topical Problems of Fluid Mechanics


Institute of Thermomechanics AS CR, v.v.i.	CTU in Prague Faculty of Mech. Engineering Dept. Tech. Mathematics	MIO Université du Sud Toulon Var - AMU - CNRS - IRD	Czech Pilot centre ERCOFTAC

Biplane Aerodynamics Revisited
Morishita E.
Abstract:
Biplane is a classical aerodynamic problem. In this paper, we first introduce a well-known simple analytical method based on a pair of vortices on each airfoil. This method give a pretty accurate result in spite of its simplicity. We then revisit Moriya’s conformal mapping approach which is an exact analytical solution. This method is an old one with some mathematical beauty and the present author think that it is worthwhile to repeat it here, because it was written in his native language and possibly not known to the rest of the world. We finally use the modern discrete vortex method for comparison. The lift ratio, a biplane to two isolated airfoils, is obtained as a function of pitch and stagger.
Keywords:
aerodynamics, potential flow, conformal mapping, vortex method

Fulltext: PDF DOI: http://dx.doi.org/10.14311/TPFM.2016.019

In Proceedings Topical Problems of Fluid Mechanics 2016, Prague, 2016 Edited by David Šimurda and Tomáš Bodnár, pp. 141-150 ISBN 978-80-87012-58-1 (Print) ISSN 2336-5781 (Print)