Study of the Reverse Delta Wing
Afaq Altaf,
*
Ashraf A. Omar,
†
Waqar Asrar,
‡
and Hani Bin Ludin Jamaluddin
*
International Islamic University Malaysia, Kuala Lumpur 50728, Malaysia
DOI: 10.2514/1.C031101
Particle image velocimetry was used in a low-speed wind tunnel to investigate the vortex structures of a slender
reverse delta wing at various angles of attack and roll. This work investigates the characteristics of the vortices
generated downstream in planes perpendicular to the freestream direction and their dependence on angles of attack
and roll at a chord-based Reynolds number of Re
c
3:82 10
5
. The peak tangential velocities at > 5
show a trend
similar to a delta wing. A six-component balance was used to obtain the aerodynamic coefficients for a reverse delta
wing as well as a delta wing for comparison. A simulation of the streamlines, velocity vectors, and surface pressure
contours was carried out using computational fluid dynamics software to show the characteristics of the flow over a
reverse delta wing.
Nomenclature
C
D
= drag coefficient
C
L
= lift coefficient
C
m
= moment coefficient
c = chord length, m
k = number of points
L=D = lift-to-drag ratio
Re
c
= Reynolds number based on chord
r = radius, m
r
c
= core radius, m
V
= tangential velocity, m=s
V
1
= freestream velocity, m=s
x = streamwise coordinate, m
y = spanwise coordinate, m
z = transverse coordinate, m
= angle of attack, deg
= circulation, m
2
=s
= roll angle, deg
I. Introduction
T
HE purpose of this paper is to investigate the flow over a reverse
delta wing. Reverse delta wings may be used in vortex
alleviation [1]. They may also be used in forward-swept-winged
aircraft [2].
Vortex flows play a vital role in modern aerodynamic applications
such as in the control of wingtip vortices of large aircraft so as to
minimize the hazard posed by trailing aircraft from such wake-vortex
encounters [1,2].
Vortices created by aircraft are an inevitable consequence of the
creation of lift. Vortices persist for many miles, and wake-vortex
encounters pose a grave hazard to trailing aircraft that fly in close
proximity near the airport runway, especially during takeoff and
landing [3], because the tip vortex circulation is at a maximum. This
limits the spacing between aircraft within the takeoff and landing
corridors at busy airports and hence increases the time intervals
between consecutive landings and takeoffs [4].
Worldwide research has been focused on increasing airport
capacity by minimizing the wake-vortex hazard. The studies of
forward-swept wings, which resemble a reverse delta wing, have
shown promising results. Interest in forward-swept-wing aircraft is
growing. The aerodynamics of a forward-swept wing shows that air
moving over it tends to flow inward toward the root of the wing
instead of outward toward the wingtip, as occurs on sweptback
wings. This reverse airflow does not allow the wingtips and their
ailerons to stall at high angles of attack. Both X-29 and Sukhoi Su-47
supersonic aircraft make use of forward-swept wings for superb
maneuverability and operation at angles of attack up to 45 deg or
more [5]. This type of configuration is made possible by lightweight
nonmetallic composite materials that can withstand the increased
amounts of aerodynamic forces. This configuration would provide a
number of advantages, such as higher lift-to-drag ratio, higher
capability in dogfight maneuvers, higher range at subsonic speed,
improved stall resistance and antispin characteristics, improved
stability at high angles of attack, a lower minimum flight speed, and
shorter takeoff and landing distances [6].
A reverse delta wing has certain favorable aerodynamic char-
acteristics that can be exploited for efficient supersonic flight. Early
investigations into the aerodynamics of reverse delta wings were
carried out by NACA in 1947 [7].
Gerhardt [7] has also studied the reverse delta wing at high Mach
numbers and has observed significant differences between the
regular delta wing and a reverse delta wing. According to his study,
surface pressure contours of a reverse delta wing are expected to
exhibit a more regular change in pressure than a delta wing and strong
pressure gradients are expected to be confined to the trailing-edge
regions.
In 1999, a group of Northrop Grumman designers came up with
an innovative supersonic transport design incorporating an un-
usual reverse delta wing. Designers from Northrop Grumman
claimed that, “The reverse delta wing design allows additional lift to
be created at low speeds, reducing power requirements and therefore
noise, during the environmentally crucial takeoff and landing
phases” [8].
Recent investigations into the aerodynamics of a reverse delta
wing were carried out by Elsayed et al. [9]. The vortex characteristics
of the reverse delta wing showed promising results. Their inves-
tigation suggests that a reverse delta wing, as a wake alleviation add-
on device, may excite some instability through stable laminar or
unstable wave phase or through modifying the vortex roll-up process
as a result of interaction with the turbulent phase. These can lead to
rapid diffusion of vorticity, which can enhance wake-vortex decay
and thus lead to wake-vortex alleviation.
A lot of research has been done on delta wings, especially on
leading-edge vortex breakdown control [10], vortex bursting [11],
simulation [12], and experimental and numerical investigation of
delta wings [13]. Most of the research on delta wings has been per-
formed using flow visualization and simulation to better understand
Received 7 May 2010; revision received 12 August 2010; accepted for
publication 20 August 2010. Copyright © 2010 by the American Institute of
Aeronautics and Astronautics, Inc. All rights reserved. Copies of this paper
may be made for personal or internal use, on condition that the copier pay the
$10.00 per-copy fee to the Copyright Clearance Center, Inc., 222 Rosewood
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correspondence with the CCC.
*
Research Assistant, Department of Mechanical Engineering, Gombak,
P.O. Box 10.
†
Professor, Department of Mechanical Engineering, Gombak, P.O. Box
10. Member AIAA.
‡
Professor, Department of Mechanical Engineering, Gombak, P.O. Box
10.
JOURNAL OF AIRCRAFT
Vol. 48, No. 1, January–February 2011
277