Wing Geometry |
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An
airfoil or (aerofoil), such as the wing of an aircraft, produces
a resultant force acting upwards, i.e., transversely to the
direction of flight. The forces involved are dependent on
the speed of the aircraft (the dynamic pressure increases
proportionally to the square of the speed) and more particularly
also on the geometric features of the wing – i.e., its-cross
sectional shape and its shape in plan.
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The
term drag in a general wording clarify a resistant force acting
in a direction opposite to the direction of motion and parallel
to the relative airstream. The wing of an aircraft flying
at less than half the speed of sound encounters, in addition
to surface-friction drag and pressure drag, a resistance called
induced drag, which is the part of the drag associated with
the development of lift and is proportional to the square
of the lift coefficient.
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This
coefficient represents the relative lift of a particular airfoil.
The induced resistance can be kept down to a low value by
providing a large ratio of wingspan to mean chord –
i.e., the ratio of the length of the wing to its average width
(Fig.1). This ratio is especially important in aircraft whose
wings are required to have a high lift coefficient and therefore
develop a large lift e.g., gliders.
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The
sweep denotes the slant of the wing in relation to a line
perpendicular to the longitudinal axis of the aircraft. It
influences the behavior of the flow conditions in the so-called
boundary layer immediately adjacent to the wing surface. In
the case of a swept-wing aircraft with sweepback of the wing
(Fig.2), the streamline flow first separates from the surface
of the wing in the region of the wing tips when the angle
of attack is very large.
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Since the ailerons are located in that part
of the wing they are liable to become ineffective under such
conditions, so that any minor disturbance may cause stalling
and uncontrolled rolling motion. On the other hand, with a
forward sweep of the wing (Fig.3), separation of the flow
starts nearer the wing root, so that the ailerons continue
to be effective and the aircraft remains under control.
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In
the case of an aircraft flying at more than half the speed
of sound supersonic speeds will occur in certain parts of
the streamline flow around the wing, which are associated
with shock waves that give rise to a considerable increase
in drag. If the wing is given a sweep, the critical speed
at which this objectionable effect occurs is shifted to a
higher value. For this reason all aircraft designed to operate
in the speed range between mach 0.5 (half the speed of sound)
and mach 1.0 (the speed of sound) have swept wings.
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For
supersonic speeds, i.e., exceeding mach 1.0, the optimum wing
shape in plan is different from the optimum shape for subsonic
speeds. The ratio of span to mean chord is now of less importance;
on other hand, a more pronounced sweep is desirable. These
considerations led to the development of the delta-wing aircraft
(Fig.4). Such aircraft develop a large lift only at high angles
of attack as compared with straight-wing aircraft. This is
especially important in connection with takeoff and landing.
Landing speeds are very high.
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At
supersonic speeds above mach 1.5 the nonswept short-span wing
(Fig.5) is, in terms of drag, more favorable than any other
shape. However, though important, this is not the only consideration
that governs the geometry of aircraft wings. In modern military
aircraft the variable-geometry wing has been introduced in
order to obtain relatively favorable conditions for takeoff
and landing (long wingspan, position ‘a’ in Fig.6)
and for super-sonic flight (position b). The changeover is
affected by swinging the wings back when the aircraft is in
flight (swing-wing aircraft).
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