Laminar to Turbulent Transition in Cigarette Smoke
In a previous post I introduced the concept of skin-friction and
pressure drag, and discussed the contradicting aerodynamic conditions to
minimise either of the two types of drag. Overall the minimum resistance of
slender shapes (such as aerofoils) to a fluid is attained with an attached
laminar boundary layer over the entire surface. However, at some point from the
leading edge the boundary layer will naturally transition to turbulent flow
(see example of cigarette smoke), and any curvature in the shape will induce an
adverse pressure gradient that can cause boundary layer separation.
Consequently, laminar flow is generally restricted to a small percentage of the
wing around the leading edge. For aircraft wings considerable research has been
conducted to come up with mechanisms that maintain laminar flow over large
parts of the wings and therefore reduce drag, fuel consumption and increase
flying speeds.
One of the the first aircraft to
attempt to take advantage of laminar flow was the WW II fighter P-51 Mustang.
During the War the Americans and British developed a very slender aerofoil
shape, now known as NACA 45-100, with the point of maximum thickness about
half-way along the camber line in order to reduce the effects of the adverse
pressure gradient. With the maximum camber in the middle it was thus possible
to maintain a larger percentage of laminar flow over the wing. In 1938
wind-tunnel tests on the aerofoil recorded a drag coefficient of .003 which was
about half of the lowest ever recorded for an aerofoil of similar thickness
[1]. On the aircraft however the results of the controlled laboratory tests
were never achieved. Laminar flow is a sensitive phenomenon and the slightest
roughness of the aerofoil surfaceroduced by
splattered insects, protruding rivets or imperfections in machining will cause
premature transition to turbulent flow before the design condition.
Furthermore, the air passing through the propeller produces a highly turbulent
slipstream which is exacerbated by the vibration of the entire fuselage.
The North
American XP-51 Mustang was the first aircraft to incorporate an NACA
laminar-flow airfoil. (Photo credit: Wikipedia)
In order to improve on this early design NASA has conducted an array of
flight tests on aircraft designed for natural laminar flow (NLF). To protect
the leading edge from insect contamination one concept features wrapping the
leading edge with paper during take-off, which is then torn-off at higher
altitudes. A rather resource wasteful solution! Another solution using wire and
felt pad scrapers, to as the name suggests, scrape dead insects from the
surface of the wing. Furthermore, covering the leading edge with a curved
deflector plate known as aKrüger nose-flap has
been investigated on various aircraft. The drawback of these designs is that
they disturb the streamlined profile of the aerofoil and therefore induces
parasitic drag that outweighs the improvements of maintaining laminar flow.
The Krüger flap concept is nowadays
incorporated in high-lift devices but only used during landing and
take-off, which only accounts for a fraction of the full flight time
Tests on an experimental F-16XL aircraft were used in a NASA programme
to assess laminar flow on aircraft flying at supersonic speeds. The main aim
was to assess the merit of swept-wings for future high speed civil aircraft.
The swept delta-wings used active perforated titanium “gloves” attached to the
surface featuring tiny holes through which most of the boundary layer was
drained-off by an internal suction system. The panels covered 60% of the wing’s
leading edge perforated with about 10 million microscopic size laser-cut holes.
Through these holes the suction system in the wing drew away a significant
portion of the slower fluid in the boundary layer close to the surface, thereby
expanding the extent of laminar flow across the wing. The Supersonic Laminar
Flow Control (SLFC) successfully achieved laminar flow over large portions of
the wing up to supersonic speeds of Mach 1.6
The concept of using suction wings to maintain laminar boundary layers
has thus far been the most researched and promising solution. Before these
technologies can be applied issues such acceptable reliability, maintainability
and operational characteristics have to be resolved and the long-term technical
and economic viability of the technology demonstrated. The current legislative
framework requires the development of novel aircraft design in the near future
in order to meet the ambitious fuel economy requirements. Perhaps advances in
micro-machining, nanotechnology and smart-material technologies will lead to
LFC devices becoming integral parts of revolutionary new aircraft.
F-16XL fighter with suction
panels