Stoney, et al.
I need to clarify my original statement. It's misleading because it's a generalization. Things are a bit more complicated than that.
Here's the induced drag equation for level flight:
Di = 2*Weight^2
-----------------------------------------------------
pi*air-density*span-eff*V^2*wingspan^2
For a given airframe there are 3 variables that can increase or decrease induced drag:
(1) Weight
(2) Altitude (air density)
(3) Airspeed
For the 1st graph I posted (I didn't create it BTW) it plots drag vs. airspeed where weight and altitude are fixed.
Weight does impact overall drag by increasing induced drag. The question though is by how much does it effect the max level speed of an airplane. The following is a graph of induced drag and total drag for a P-51D at different fuel load outs at sea level:
At sea level the max speed of the P-51D is ~366mph. Notice that around that velocity the total drag curves are pretty much on top of each other which means the total drag is very similar to each other despite the differences in weight in fuel load.
Here's a closer look at what the differences in drag would mean in terms of max level speed:
Alt %F Weight rho Di CD0 Dp Dtotal Thrust V mph Mach
0 100 12100 0.0023 124 0.019 1427 1551 1552 361 0.474
0 75 10606 0.0023 93 0.019 1458 1551 1552 365 0.479
0 50 9486 0.0023 74 0.019 1477 1551 1552 367 0.482
0 25 8739 0.0023 62 0.019 1490 1552 1552 369 0.484
Note the lbs of induced drag (Di) for the given fuel weight and the max level airspeed associated for a given load out. There's not very much variation because at these speeds and alt parsite drag is much larger than induced drag.
The reason the change in loaded fuel weight doesn't impact a fighter as much is because the % distribution of the total weight is lower compared to that of a bomber.
Plane F % F_lbs Wt_lbs %Wt
P-51D 100% 1494 12100 12%
P-51D 25% 374 8739 4%
B-17G 100% 16680 65500 25%
B-17G 25% 4170 52990 8%
Altitude plays a part on induced drag as well. Here is a plot of the P-51D induced and total drag for different fuel loads at 24,500 ft:
The max level speed of the P-51D is ~437mph at 24,500. At an higher altitude the induced drag difference due to different fuel loads is little more noticeable. Around the 437mph mark the total drag curves are more spread out than how they look for the sea level graph.
Here's a closer look at the impact on max level airspeed for the P-51D at 24.5k alt for the different fuel load outs:
Alt %F Weight rho Di CD0 Dp Dtotal T V mph Mach
24500 100 12100 0.0010 199 0.022 1046 1245 1245 433 0.61777285
24500 75 10606 0.0010 148 0.0226 1096 1244 1245 440 0.629293089
24500 50 9486 0.0010 117 0.0229 1128 1245 1245 443 0.636493239
24500 25 8739 0.0010 99 0.0233 1145 1244 1245 443 0.640813329
The above estimate also factors in compressibility drag as well. The spread in max level speed between 100% fuel vs. 25% at 24.5k is a little more than what is was for at Sea Level.
Without compressibility drag factored in the max level speeds would look something like this:
Alt %F Weight V mph
24500 100 12100 433
24500 75 10606 444
24500 50 9486 451
24500 25 8739 455
If I get a chance, I'll try and work up similar estimates for the B-17G as well.
Tango, XO
412th FS Braunco Mustangs