just wanted to add this info that I got froma newsgroup. I had posed the topic there and was given some great info. Basically, the following information puts the p-51 speed issue to bed IMO. Be advised, alot of you know and understand all that isn said in this post, and the majority (me included) do not. Thx Peter.. In several parts--
This is going to be redundant for a lot of people, but I've reviewed
the Bulletin Board thread that's been referenced as part of this
question, and, if you don't mind, I'd like to take the opportunity to
do a small bit of teaching for those who'd like to learn where these
numbers come from. A lot of you know this stuff, so please bear with
me, and if I've typo'ed or Thinko'ed something, please jump in and
correct me.
Let's start with a Glossary. Some of it's pretty basic, but we'll
need it to get all the ducks in a row. These are the things you need
to know if you want to figure out if a performance report is valid:
Flight is a balance of four forces: Weight, Lift, Thrust, and Drag.
When the sum of Weight and Lift is 0, you are in level flight. When
the sum of thrust & drag is 0, you are at the maximum speed.
The Air: Air, of course, is vital to making an airplane work. For
our purposes, there are 3 properties of the air that are important.
The Pressure, (P), the Density (Rho), and the Temperature (T). These
values change as altitude increases. How these values change can vary
from day to day, and from location to location. To get past these
differences, the "Standard Atmosphere" was developed. This is a
mathematical representation of the atmosphere's changes from a given
set of start conditions, how they vary with height, and from this can
be determined the changes due to, say, a difference in temperature or
pressure at ground level. This definition has changed through time,
in order to reflect our better understanding, and better ability to
measure these conditions. For this purpose, I'm using the ICAO 1979
Standard Atmosphere, which does vary somewhat from the 1930s NACA
Standard Atmosphere. (It's not that significant at these altitudes)
The thing that affects an airplane's flight the most is the Dynamic
Pressure, or 'q', This is the pressure generated by the movement of
air. q varied with the square of the velocity, so if you go twice as
fast, q is increased by 4 times.
Because the Pressure, Density, and Temperature of the air decrease as
you travel higher in the atmosphere. (Actually, temperature is
constant about 36,000' or so, but that's not relevant here), the q
generated by a particular airspeed is less than it is at lower
levels. This has led to the definition of several different measures
of airspeed. These are:
True Airspeed - the actual speed of movement through the air.
Equivalent Airspeed - the airspeed at sea level corresponding to a
particular q.
Calibrated Airspeed - the Equivalent Airspeed corrected for the
compressibility of the air at that height and speed. At the speeds
we're talking about, it may amount to 3 or 4 mph.
Indicated Airspeed - The airspeed that shows on the pilot's Airspeed
Indicator. This can be affected by the location and orientation of
the pitot tube used to measure 'q', and internal system peculiarities.
The difference between CAS and IAS is called Position Error, and
varies with the speed of the aircraft. It can be as high as 10-15
mph. We're not actually concerned about it here.
Weight: How much an airplane weighs. Weight doesn't necessarily
affect speed much, but it has big effects on Excess Acceleration, and
therefore Excess Power, and thus Rate of Climb and Maneuverability.
There's a whole bunch of weights, though. There are:
Empty Weight: The weight of an airframe without fuel, oil, crew,
Ammunition, Bomb load, or removable equipment.
Basic Weight, or, sometimes, Empty Equipped Weight. This is the
weight of the airframe with crew, removable equipment, oil, and
unusable fuel. (More or less the true minimum weight that an aircraft
can have.
Normal Loaded Weight: The Basic Weight, plus full internal fuel, and
ammunition.
Maximum Weight: The absolute most weight that you can have without
exceeding some limit. (Like Landing Gear Strength, or strength at some
G load, or engine-out rate of climb, etc.) This usually, for fighters
requires some amount of external load.
Note that there can be a big difference between a
After World War II, the U.S. Department of Defense, in order to help
make sense of it all, came up with the idea of "Combat Weight", Combat
Weight is a stylized representation of what the weight of an airplane
will be as it may be actually engaged in combat. It is defined as the
Basic Weight, + 60% of the Internal fuel (In most cases), plus, in the
case of some bomber aircraft, internal bombs.
This affects some aircraft more than others. In a World War 2
context, there's a lot more difference between a P-51B's Basic Weight,
and its loaded weight, than, say, for a Spitfire or an Me 109.
Most of that difference is fuel, or course.
Here's a quick comparison, with weights expressed as a percentage of
Basic Weight:
P-51B Spitfire IX Me 109G-6
8190# 6650# 6550#
Basic weight 100% 100% 100%
Loaded Weight 120% 110% 110%
Combat Weight 112% 104% 106%
When you consider the difference that a relatively small weight change
can make on maneuverability and climb, you'll see that there's a lot
more difference between a Mustang at it's loaded weight, and a Mustang
over the target area than there is for its contemporaries. (Just for
the record, a P-51B carried about 1600# of gas internally. The Spit 9
and 109G both could squeeze i about 650-660# of gas. You can see why
the idea of Combat Weight was considered important.
Lift: What's required to keep you separate from the ground. This is
done by, if you will, "fooling the air" into generating a lower
pressure on the top of the wing vs. the bottom of the wing. For a
given weight, in level flight, Lift is the same as the weight. How
hard the wing has to work to achieve this lift is measured by the Lift
Coefficient, Cl. Lift is defined as Cl * S (Wing Area) * q. As you
can see, since q decreases for a particular True Airspeed with
altitude, the higher you go, the harder the wing has to work. There's
a maximum limit for CL for each airfoil, called Clmax. This limits
how much lift a particular wing can generate. For purposes of Maximum
Speed, Clmax isn't important.
Drag: Drag is the resistance to something moving through the air
generated by pressure on the front parts, friction over the surfaces,
vacuum (low pressure) over the back parts, and drag produced by
generating lift. Basically, for the speeds involved in this
discussion, this can be divided into 2 components, the Profile Drag
(Drag due to shape), and the Induced Drag (Drag due to Lift).
These are expressed as the Induced Drag Coefficient (CdI), and the
Profile Drag Coefficient (CdF). The forces that these produce are
defined, similar to lift, as Coefficient * q * S, where S is a measure
of surface area. There's some difference of opinion over whether to
relate the Profile Drag coefficient to Wing Area (Easy to measure,
usually) or Wetted Area, which takes into account wing, tail, and
fuselage area exposed to the airstream. (Easier to determine the
effects of changes to clean up an airframe aerodynamically) We can
get past that by relating profile drag as an Equivalent Profile Area,
which expresses the drag in terms of an imaginary flat plate with a
Drag Coefficient of 1.0 - basically, the draggier the airplane, the
bigger the plate.
Induced Drag is the drag that's generated by the lift that the wing is
producing. The Coefficient of Induced Drag is defined as:
CdI = (Cl*Cl)/(pi * AR * e)
[pi is of course, pi, as in 3.14157..., AR is the Aspect Ration of the
wing, best calculated as (span * span)/Wing Area, and e is an
efficiency factor related to the shape of the wing.]
As you can tell, Induced Drag, depending on how hard the wing is
working to generate a certain amount of lift, is small at large values
of q. (In other words, it's less as you go faster and/or lower).
Thrust: How much force is being exerted by the aircraft's powerplant
to push it through the air. This is a toughie. Reciprocating engines
don't produce thrust directly, they produce power. (Which is defined
as Torque * rotational Speed - don't sweat that). Power doesn't
directly translate into thrust, so we'll have to do a bit of
arithmetic:
1 HP = 550 ft-lb/sec. Now, thrust is lbf (pounds force), since we're
on Earth, we can safely assume 1G - 32.2 ft/sec^2 and not sweat it)
So, to get lbs out of a horsepower number, we divide by 550
ft/sec. (Hey ft/sec, that's speed!) so, if we do a bit more figgering,
to get the speed part down, we end up with T (Thrust in lbs) = HP *
550/v (v in ft/sec). As you can see, at low speeds, we get bags of
thrust per horsepower. At high speeds, the thrust decreases.
Here's another table that shows this: (remember that 550 ft/sec = 375
mph)
Speed Thrust (1 HP) HP (1# of thrust)
100 mph 3.75# 0.266
200 mph 1.88# 0.533
300 mph 1.25# 0.800
400 mph 0.94# 1.067
500 mph 0.75# 1.333