Airfoils
for a Gyroplane Rotor
by Dan M. Somers, President
Airfoils, Incorporated
State College, Pennsylvania
A family of
natural-laminar-flow airfoils for the rotor of the Groen Brothers
Aviation (GBA) H2X gyroplane has been designed and analyzed theoretically.
The family consists of a primary and a tip airfoil intended for
the 0.75 and 1.00 blade radial stations, respectively.
The
design specifications for the airfoils were determined from rotor-performance
calculations performed by Mark D. Maughmer (Associate Professor,
Department of Aerospace Engineering, Pennsylvania State University),
under contract to GBA, using a computer code developed especially
for gyroplane rotors by Barnes W. McCormick (Boeing Professor
Emeritus, Department of Aerospace Engineering, Pennsylvania State
University), also under contract to GBA. The specifications were
refined through discussions with GBA personnel and Peter G. Dixon
of Advanced Technologies Incorporated (Newport News, Virginia),
the manufacturer of the prototype blades.
Two primary objectives
are evident from the design specifications. The first objective
is to achieve a high maximum lift coefficient. This objective
corresponds to the retreating blade at high airspeeds. A requirement
related to this objective is that the maximum lift coefficient
not decrease significantly with transition fixed near the leading
edge on both surfaces. The second objective is to obtain low profile-drag
coefficients over a wide range of lift coefficients. The lower
limit of the low-drag range corresponds to the advancing blade
at high airspeeds; the upper limit, to the blade when pointing
aft.
Two
major constraints were placed on the designs. First, the absolute
value of the zero-lift pitching-moment coefficient must be no
greater than a certain limit. Second, the airfoils must have certain
thicknesses to satisfy structural requirements and to provide
sufficient volume for tip weights.
The design of the
airfoils is complicated by the myriad operating conditions. Specifically,
the local flow should remain subsonic for all operating conditions.
The philosophy employed
in the design of the airfoils was to satisfy the constraints while
meeting the objectives to the greatest extent possible. Of course,
compromises between the various objectives were inevitable. In
particular, the relatively thin airfoil thicknesses necessary
to maintain locally subsonic flow resulted in low-drag ranges
narrower than specified.
The Eppler Airfoil
Design and Analysis Code (refs. 1 and 2, below) was used because
of its unique capability for multipoint design and because of
confidence gained during the design, analysis and experimental
verification of many other airfoils. (See ref 3, below, for example.)
The primary airfoil
is designated the S401. The tip airfoil, the S402, was derived
from the S401 airfoil to increase the aerodynamic and geometric
compatibilities of the airfoils.
The theoretical results
show that the two primary objectives of a high maximum lift coefficient,
insensitive to leading-edge roughness, and low profile-drag coefficients
have been achieved; the constraints on the zero-lift pitching-moment
coefficient and the airfoil thicknesses have been satisfied. Comparisons
with other airfoils typically used on rotor blades illustrate
the higher maximum lift coefficient and the lower profile-drag
coefficients, thus confirming the achievement of the design objectives.
References:
1. Eppler, Richard: Airfoil Design and Data. Springer-Vorlag
(Berlin), 1990.
2. Eppler, Richard: Airfoil Program System. User's Guide.
R. Eppler, c. 1994.
3. Somers, Dan M.: Subsonic Natural-Laminar-Flow Airfoils.
Natural Laminar Flow and Laminar Flow Controlas, R. W. Barnwell
and M. Y. Hussaini, eds., Springer-Verlag New York, Inc., 1992,
pp. 143-176.