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Calculating the SEP (Specific Excess Power) of an instantaneous turn


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I'll share a method to quantify energy bleed rate using the SEP equation Ps = dh/dt + (V/g)(dV/dt)

Reference to this equation is at Page 21 of https://dspace.mit.edu/bitstream/handle/1721.1/36378/16-885JFall2003/NR/rdonlyres/Aeronautics-and-Astronautics/16-885JFall2003/1A2F9B8F-B307-4461-83AE-9CCD658DBD50/0/aircraft_murman.pdf

Given that a clean aircraft is bleeding its speed at 10000ft from 479 KTAS to 466 KTAS in a 1-sec time span, with a pretty constant bleed rate, and a tiny altitude gain of 1 ft. Then we can dial in all the elements we need:

dh = +1 ft

dV = -13 KTAS = -21.94 ft/s

V = 472.5 KTAS = 797.5 ft/s (took the average)

g = 32.174ft/s^2

dt = 1s

The resulting Ps = 1 - 21.94 * 797.5 / 32.174 =  -543 ft/s at the speed of 472.5 KTAS, or 0.74 Mach.

 

So that you can check with RL figures.

Screen_240820_225841.jpg

Screen_240820_225837.jpg

F16 speed bleed test 10000ft.trk

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2 hours ago, Xhonas said:

I saw your deleted post, based on these calculations, is there any problem? And could you do the same to the F/A-18?

 

Yes there’s a problem so it’s being investigated.

I don’t think I saw any EM diagram of the F-18 that has Ps lines on it.

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32 minutes ago, DummyCatz said:

Yes there’s a problem so it’s being investigated.

Can you elaborate on what is the problem? is the jet underperforming because of that? 

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14 hours ago, Xhonas said:

Can you elaborate on what is the problem? is the jet underperforming because of that? 

In this example I chose to calculate the SEP in the range of corner plateau. This is also where the negative SEP should be the highest, at the top of the EM diagram. To my surprise, -543 ft/s is far from it, which means the aircraft bleeds less speed and therefore overperforms in SEP, at least at the corner plateau.

This does not sound good for the longrunning Viper vs Hornet debate, but it's a starting point for anyone else interested in verifying the bleed rate.

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9 hours ago, darkman222 said:

What about the energy bleed at slow speeds? From 300 kts the DCS F16 bleeds down like crazy and does struggle to gain energy back.

This is my next plan. But before that I need to practice my altitude holding skill.

If anyone like to help me by taking the trackfile and fly the max ITR at lower speeds, I'll be more than happy. (The trackfile already has the correct testing conditions.) Altitude can be 0, 5k, 10k, 15k, etc..

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Posted (edited)
5 minutes ago, darkman222 said:

How do you mean that? Max instantaneous turn rate is just a max performance max available G pull. Not sure how you could "fly" a max ITR.

I just meant you perform a max effort pull.

 

BTW in this exact document by Eagle Dynamics, the EM diagrams of F-16 at 10000ft, GW=22000 lbs is quoted at page 23 of https://www.digitalcombatsimulator.com/upload/iblock/dcc/DCS FM principles plus MiG-29 P-47 F-16.pdf

So I can definitely compare the results here without breaking the rule:

The SEP at 0.74 Mach is -543 ft/s compared to -800 ft/s in the graph.

 

 

 

Screenshot from 2024-08-22 16-53-00.png


Edited by DummyCatz
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Posted (edited)

Second try with 4 data points: Mach 0.62, 0.58, 0.55 and 0.52, at 1 sec interval.

Screen_240823_002747.jpg

SEP Calculation 1. M0.62 -> M0.58:

dh = -1 ft

dV = -20 KTAS = -33.76 ft/s

V = 387 KTAS = 653.2 ft/s (took the average)

g = 32.174ft/s^2

dt = 1s

The resulting Ps = -1 - 33.76 * 653.2 / 32.174 =  -686 ft/s at the speed of 387 KTAS, or 0.6 Mach. This is a bit low compared to the EM diagram above from the ED document. (Overperforms in SEP)

Screen_240823_002751.jpg

SEP Calculation 2. M0.58 -> M0.55:

dh = -2 ft

dV = -22 KTAS = -37.13 ft/s

V = 366 KTAS = 617.7 ft/s (took the average)

g = 32.174ft/s^2

dt = 1s

The resulting Ps = -2 - 37.13 * 617.7 / 32.174 =  -715 ft/s at the speed of 366 KTAS, or 0.565 Mach. This is too much. So from here, the F-16 is underperforming.

Screen_240823_002755.jpg

SEP Calculation 3. M0.55 -> M0.52:

dh = -7 ft

dV = -20 KTAS = -33.76 ft/s

V = 345 KTAS = 582.3 ft/s (took the average)

g = 32.174ft/s^2

dt = 1s

The resulting Ps = -7 - 33.76 * 582.3 / 32.174 = -618 ft/s at the speed of 345 KTAS, or 0.535 Mach. This is also too much.

Screen_240823_002759.jpg

F16 speed bleed test 10000ft -2.trk


Edited by DummyCatz
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Just my amateur 2 cents. I did not expect the DCS F16 to bleed too little energy at corner speed. But 21 deg / sec wont win a fight against a 23 deg / sec jet anyway. Even if you can sustain it longer than you should be able to.

The only option is just to stay fast and watch your opponent outturn you or to bug out and reset. Because going slow is even worse as it drains your energy so fast and you will struggle to get it back.

It makes sense considering the overall impression the flight model gives, that the slow speed performance just punishes you a lot more than in other airframes.

 


Edited by darkman222
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Posted (edited)

I did not expect it to overperform in SEP at higher speeds too. But just as it's underperforming at lower speeds, which simply proves that the SEP values are totally not checked when ED was building their Flight Model.

I'm done with the F-16. Now I'm going to see if the Hornet is overperforming in SEP. Will be posting in this thread:

 

 


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8 hours ago, DummyCatz said:

I did not expect it to overperform in SEP at higher speeds too. But just as it's underperforming at lower speeds, which simply proves that the SEP values are totally not checked when ED was building their Flight Model.

I'm done with the F-16. Now I'm going to see if the Hornet is overperforming in SEP. Will be posting in this thread:

 

 

This is simply not true, while it's possible there is an error, these values were checked by the team and SME's during development. The thread is marked as investigating as we are checking it out. Thanks. 

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Posted (edited)
On 8/24/2024 at 4:59 AM, NineLine said:

This is simply not true, while it's possible there is an error, these values were checked by the team and SME's during development. The thread is marked as investigating as we are checking it out. Thanks. 

Would be nice if you could utilize the tester team and QA team to check the data points across speeds and altitudes with different loadouts in EM diagrams. I am only a single person so I can not do the QA job for you.

I'm aware that flight model development is incredibly complex, and perfection is a tough target to hit. However, the community's confidence would be bolstered by a more detailed explanation of how these discrepancies arose and what steps might be taken to address them.

Please take your time. Thanks.


Edited by DummyCatz
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