Author Topic: Comparative turn performance  (Read 1355 times)

Offline oboe

  • Plutonium Member
  • *******
  • Posts: 9805
Comparative turn performance
« on: March 03, 2001, 08:00:00 AM »
Does anybody have a good method of establishing turn performance numbers for AH aircraft?

I'm interested in testing the a/c but a little unsure how to measure instantaneous turn rates, corner velocities, etc.  I've checked over Iddon's turn methods for WBs a/c testing, but at 6g in AH I am blacked out and can't see the instruments...

Thanks!

Offline Widewing

  • Plutonium Member
  • *******
  • Posts: 8801
Comparative turn performance
« Reply #1 on: March 03, 2001, 09:07:00 AM »
 
Quote
Originally posted by oboe:
Does anybody have a good method of establishing turn performance numbers for AH aircraft?

You can use the minimum turn radius "index number" method. To use this method, you need to know the following:

Gross Weight.
Wing Area in Square Feet.
Maximum Lift Coefficient.

Finding or determining the lift coefficient will be your biggest challenge.

Here's how it works:

Gross weight/wing area/lift coefficient= turn rate index.

Here's the calculation for the P-38L:
Without 8 degrees of Fowler flaps.
17,100/327.5 = 52.21/2.17 = 24.06
With maneuvering flaps deployed:
17,100/369.8 = 46.24/2.73 = 16.93

Let's compare the P-38L to the F4U-1:

11,800/314.0 = 37.58/1.48 = 25.39

The F4U performs so badly due to the spoiler added to the right wing (to cure the wing drop in a stall condition), which kills the lift coefficient.

On the other hand, the big P-38 turns remarkably tight if the pilot sets the flap handle to the 'maneuver' position. By doing so, the P-38 can turn with the Hellcat and run rings around the P-51 and any Luftwaffe fighter. The P-38 pilot could briefly tighten his turn by deploying his dive recovery flaps in the turn, which would pitch up the nose. Amazingly, the huge P-61 Black Widow can turn tighter than all the above with a 16.0 index #.

Finally, lets look at the index # for the A6M5:

6,025/229.3/2.46 = 10.68

Here's some index numbers for some AH aircraft:

F6F-5: 16.52
P-38L: 16.93
P-51D: 21.49
F4U-1D: 25.39
P-47D-30: 24.68
A6M5: 10.68

Others:

FM-2: 11.99
P-63A: 14.87
P-40B: 15.30

So, let's put them in order of turn index:

1) A6M5
2) FM-2
3) P-63A
4) P-40B
5) P-61B
6) F6F-5
7) P-38L
8) P-51D
9) P-47D
10) F4U-1D

If you locate the Lift Coefficients of the other aircraft in AH, you can calculate their turn index relative to each other.

My regards,

Widewing

My regards,

Widewing

YGBSM. Retired Member of Aces High Trainer Corps, Past President of the DFC, retired from flying as Tredlite.

Offline Widewing

  • Plutonium Member
  • *******
  • Posts: 8801
Comparative turn performance
« Reply #2 on: March 03, 2001, 09:42:00 AM »
One additional note: Forget calculating the coefficient of lift. The formula is extremely complex and requires data that can only be determined emprically. As a rule, this is determined experimentally in a wind tunnel.

My regards,

Widewing
My regards,

Widewing

YGBSM. Retired Member of Aces High Trainer Corps, Past President of the DFC, retired from flying as Tredlite.

Offline R4M

  • Parolee
  • Nickel Member
  • ***
  • Posts: 662
Comparative turn performance
« Reply #3 on: March 03, 2001, 09:46:00 AM »
Do I read correctly? you say that the F4U1-D should turn worse than the P51D?

I find that hard to believe.

Offline F4UDOA

  • Silver Member
  • ****
  • Posts: 1731
      • http://mywebpages.comcast.net/markw4/index.html
Comparative turn performance
« Reply #4 on: March 03, 2001, 09:46:00 AM »
Widewing,

F4U max Cl with 50 degrees flap is 1.88.

I will post the naca doc with max cl's all birds.

Offline Widewing

  • Plutonium Member
  • *******
  • Posts: 8801
Comparative turn performance
« Reply #5 on: March 03, 2001, 09:49:00 AM »
 
Quote
Originally posted by Widewing:
emprically??!!

Empirically....... I should have used the spell check button.

My regards,

Widewing
My regards,

Widewing

YGBSM. Retired Member of Aces High Trainer Corps, Past President of the DFC, retired from flying as Tredlite.

Offline Widewing

  • Plutonium Member
  • *******
  • Posts: 8801
Comparative turn performance
« Reply #6 on: March 03, 2001, 09:53:00 AM »
 
Quote
Originally posted by R4M:
Do I read correctly? you say that the F4U1-D should turn worse than the P51D?

I find that hard to believe.

Both aircraft, no flaps, the Mustang wins. Also, the Mustang had a maneuver setting for the flaps, which tightens the turn radius further.

My regards,

Widewing

My regards,

Widewing

YGBSM. Retired Member of Aces High Trainer Corps, Past President of the DFC, retired from flying as Tredlite.

Offline R4M

  • Parolee
  • Nickel Member
  • ***
  • Posts: 662
Comparative turn performance
« Reply #7 on: March 03, 2001, 09:55:00 AM »
 
Quote
Originally posted by Widewing:
Both aircraft, no flaps, the Mustang wins. Also, the Mustang had a maneuver setting for the flaps, which tightens the turn radius further.

My regards,

Widewing


well that now really **really** surprises me...from my experience, in AH, Corsair turns better than P51D, with or without flaps.


Offline juzz

  • Copper Member
  • **
  • Posts: 193
      • http://nope.haha.com
Comparative turn performance
« Reply #8 on: March 03, 2001, 10:01:00 AM »
And the USN thought so too I believe...

Offline Widewing

  • Plutonium Member
  • *******
  • Posts: 8801
Comparative turn performance
« Reply #9 on: March 03, 2001, 10:02:00 AM »
 
Quote
Originally posted by F4UDOA:
Widewing,

F4U max Cl with 50 degrees flap is 1.88.

I will post the naca doc with max cl's all birds.

I would expect that the flaps would increase the Cl by as much as 50%. However, flying in combat with the flaps deployed at 50 degrees isn't recommended.

I assume you will be referencing NACA report #829?

My regards,

Widewing

My regards,

Widewing

YGBSM. Retired Member of Aces High Trainer Corps, Past President of the DFC, retired from flying as Tredlite.

Offline juzz

  • Copper Member
  • **
  • Posts: 193
      • http://nope.haha.com
Comparative turn performance
« Reply #10 on: March 03, 2001, 10:05:00 AM »
A pity that Cl numbers are variable with the conditions they are measured under...  

Offline wells

  • Copper Member
  • **
  • Posts: 166
Comparative turn performance
« Reply #11 on: March 03, 2001, 11:15:00 AM »
Turn radius = V^2 / G load / g

with V in ft/sec and g = 32.2 ft/sec^2, answer in ft.

In a level turn, the radius will be a bit bigger than that, cause you won't be banked 90 degrees.  You can find the bank angle by

cos^-1(1/G), so for 3g, the bank angle is 70.5 deg.

Then take the inverse sine of the bank angle to modify the radius, so that

1/sin(70.5) = 1.06

This means that the radius will be 6% greater than calculated above.  Reason # 829 why one should use the vertical for turning!  

Offline F4UDOA

  • Silver Member
  • ****
  • Posts: 1731
      • http://mywebpages.comcast.net/markw4/index.html
Comparative turn performance
« Reply #12 on: March 03, 2001, 04:22:00 PM »
Widewing,

You mentioned.

 
Quote
One additional note: Forget calculating the coefficient of lift. The formula is extremely complex and requires data that can only be determined emprically. As a rule, this is determined experimentally in a wind tunnel.

Here is a simple calculation for max CL as long as you know the 1 G stall speed.

Here is the F4U-1D from the pilots manual stall at 96MPH IAS clean power on 11,300lbs

Cl = Lift * 391 / (V^2 * Area)
Cl = 11,300lbs * 391 / (96.66MPH^2 * 314)
Cl = 1.50

BTW the F4U also had a maneaver flap setting of 20 degrees.

Here is the P-38L from the pilots manual the 1G stall at 17,000 is 100MPH IAS, however the correction table for airspeed IAS to CAS(calibrated air speed) shows that the 106MPH IAS is actually 120MPH CAS. Meaning that an indicated stall of 100MPH is really closer to 114MPH. So using 114MPH as the 1 G stall number here is the max Cl.

Cl = 17,000LBS*391 / (114MPH^2 * 327.5)
Cl = 1.56

Which falls more clearly into the range of most WW2 fighters, being between 1.40 and 1.60. You may say that the P-38 had a high aspect ratio wing  giving it more lift, however it had two large engine nacelles breaking up the lift generating part of the wing. When you consider that it only had 327 sq. ft of wing at a loaded weight of over 17,000lbs (wing loading over 50lbs per sq foot) it is easy to see why it required fowler flaps to maneuver effectively in the horizontal plane.

compare it too these landing weight wing loading numbers

F6F-5 = 32.2
F4U-1 = 33.3
P-51B = 35.3
P-47D = 39.7
P-38J = 44.4

Regards
F4UDOA
 



[This message has been edited by F4UDOA (edited 03-03-2001).]

Offline Vermillion

  • Platinum Member
  • ******
  • Posts: 4012
Comparative turn performance
« Reply #13 on: March 03, 2001, 04:59:00 PM »
You can also use the Russian method, by measuring the time it takes to turn 360 degrees without losing or gaining any altitude. They called it "Turn Times".

Of course this is sustained turn rates, rather than instantaneous turn rates.

Easy to test in the game if you have some time and stopwatch. Best to repeat the test 5 times for each aircraft and take the average.

------------------
Vermillion
**MOL**, Men of Leisure

Offline oboe

  • Plutonium Member
  • *******
  • Posts: 9805
Comparative turn performance
« Reply #14 on: March 03, 2001, 05:59:00 PM »
Ah, Verm's getting at more of what I'm after - a way to measure in-game performance of the aircraft as AH as them modelled.  Sorry if I was unclear.   Those equations are interesting but I don't have accurate, consistent weight figures for the aircraft, let alone wing area and Cl.

Verm, doesn't every aircraft maximize its turn rate at corner velocity?  And every aircraft has a different corner velocity doesn't it?   How do I determine at which speed to enter the turn, and how many G's I can pull?