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Gary,
Please go back and re-read what I wrote. Where did you find the
formulation that the reduction in wing load is related to the cosine of the
descent angle in a wings level descent at some arbitrary speed? After all,
then the "cosine" of a zero degree descent should be 1.
Remember that in a banked turn there are two components, wing loading
(perpendicular to the aircraft) and vertical due to gravity. Do not be
confused by a term like G as it is only used as a substitute for the weight
of the airplane.
Please plug some numbers in the spread sheet. Note that as turns
become more shallow the turn rate slows, the aircraft travels a
greater distance and there is a greater loss of altitude. If you are below
a critical altitude, a 30 degree banked turn will not get you back.
Instrument reference is best used for engine failures at night or that
risky takeoff in 0-0 conditions.
Good Luck,
Scott
In a message dated 6/6/2013 3:44:42 P.M. Central Daylight Time,
casey.gary@yahoo.com writes:
Terrence, Scott and George are all correct - sort of. George said
in a steady-state descent the wing is still supporting 1 G, but Scott says it
is supporting less than 1 G because of the descent. For a typical
descent of 500 ft/min at a speed of 180 statute miles per hour the wing is
supporting 99.95 percent of the weight (the cosine of the descent angle, which
is 1.8 degrees). So for all normal climbs and descents George is
essentially correct. Of course, for a vertical climb or descent the wing
supports nothing. For a higher descent angle, such as for turning back
with no engine, is the descent angle significant enough to change the stall
speed? I haven't run the numbers, but I suspect it is a very small
factor compared to the increase in lift required for the bank.
Here's
the technique I think is theoretically correct, and one that I have practiced.
As Terrence said, "Angle, angle, angle." When power failure is
first perceived, simultaneously roll into a steep bank while keeping the AOA
at the optimum value with back pressure on the stick. Initially, that
will require forward stick movement - remember, just because the plane is
banked doesn't mean the G force goes up. Now as the airspeed increases,
increase back pressure to hold the same AOA. With an
AOA-indicator-equipped plane you only control 2 things - the bank angle and
AOA. When you are again pointed at the runway (at an angle, but don't be
picky) immediately level the wings. What bank angle? I haven't run
the numbers, but as Dave has said, it is a steep angle. The steeper the
angle the more difficult the maneuver, so I have picked 45 degrees as my
personal target. 60, 70, or even more might be the theoretical optimum,
but that requires more skill than I think I would have in a crisis situation.
The completion of the turn could happen quite close to the ground, but
the extra speed required for the turn will be used to arrest the rapid descent
and return to the "normal" glide speed (remember to hold the AOA after
the wings are level).
What
to do if your plane is not AOA-indicator-equipped? The maneuver is still
the same, but you have to control G loading as a function of airspeed.
Of course, you likely don't have a G meter either, so you have to use
your own derriere for that purpose. The mental gymnastics get to be a
real challenge and I suspect that very few pilots would be able to accurately
control AOA during the maneuver. The result is that the bank angle has
to be reduced to maintain some degree of accuracy in AOA. I would guess
that 30 degrees bank might be a good target for most non test pilots. If
you get the AOA too high you will certainly arrive at crash scene much sooner
- too low and you will lose more altitude than necessary.
I'm
sure that the maneuver can best be performed in reference solely to
instruments, as the view of the ground, close-up, oddly angled and rapidly
rotating would be a huge distraction. Practicing at altitude doesn't
really prepare one for that. However, it does prepare you to concentrate
on the instruments, and that might help. In principle, the turn is
exactly similar (my favorite words) to the Chandelle performed for the
Commercial ticket, except done without power.
Just
my 2 cents worth,
Gary
Casey
Yes
Terrence, AOA. No mental exercise necessary if one has an AOA
sensor. And, Charles' comment is a bit off.
In level flight,
the wing AOA provides sufficient lift (wing loading) to equal
the effect of the force of gravity (1 G) on the aircraft weight
(W). Thrust overcomes drag to result in forward
speed.
In a descent at the same speed used in level flight, lift
is less than W and either power (thrust) is reduced or drag is
increased. Remember that G is just for relative
reference.
Again, in level flight at the same power, but in a
coordinated banked turn, the wing AOA has been increased to add
enough bank angle lift necessary to maintain 1 G with respect
to the vertical. I.E. The wing load must be increased to keep
the plane at the same altitude - The lift has to equal
the weight divided by the cosine of the bank angle. To
visualize:
One could redraw this with force vectors to see it
better. Of course, because of increased load, the induced
drag is also increased.
Finally, in a coordinated banked turn
without power and even further drag from other bits and pieces,
descent (glide) will occur unless the AOA could be increased
provide sufficient lift to offset the vertical component
(the pull of gravity). But, there is a limit AOA at which
a stall would occur - thus descent. In a banked turning descent
at a certain speed (best glide for the conditions), less lift
is required, thus less load on the wing, thus a lower stall
speed than a higher load. This supports the
statements made by both Dave Morss and myself. Dave's
point is that large bank angle conducted at a optimal speed
shortens the time (distance) and lessens the altitude loss plus
in the descent the stall speed is not as great as that in the
same bank holding altitude.
An optimal speed is somewhere
above stall speed. Factors affecting stall speed are load
and drag (wheels, flaps, prop, etc.) - hence the
requirement that you point the nose down making use of kinetic energy
rather than gasoline to keep up the speed.
Uh, the
Aeronautics for Naval Aviators is silent on powerless
descending turns (maybe a glider tech manual would be more
informative). I have included the simplified Excel
spreadsheet to give you a feel for some of these parameters
before testing at high altitudes.
Blue Skies,
Scott
Krueger
In a message dated 6/3/2013 8:29:23 A.M. Central Daylight
Time, troneill@charter.net writes:
Angle,
angle, angle. Angle of stall is constant, no matter what.
Simpler, not requiring mental gymnastics. Terrence.
Sent
from my iPad
On Jun 3, 2013, at 7:03 AM, Charles Brown <_browncc1@verizon.net_ (mailto:browncc1@verizon.net) >
wrote:
In a straight ahead descent, the wing is producing
1g lift and the stall speed is the same as in level
flight. You guys may be thinking of the change in stall
speed when *initiating* a descent (pushover, less than 1g for
a moment), or when *terminating* a descent (pull-up, or flare,
momentarily more than
1g). |
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