Saturday 2 August 2014

Some Notes on the Forthcoming Spin Trials of the HJT 36

Introduction
These notes are being put up for those who may be following the forthcoming spin trials of the HJT 36 Sitara. There is some Physics/Math but it is High school stuff and helps in understanding the conclusions given. No claims are being made as to accuracy of prediction though some of the points are interesting and indisputable.

A quick review of the Programme
The HJT 36 programme is another of those Defence related mysteries. Here was a programme which showed, briefly, what standards we are capable of. Excellently managed (Take a bow, Yogesh Kumar!) it went from sanction to first flight in 3 years which is about good as it gets, only to hit a sandbank when the engine was changed. Talk of changing horses in midstream! Mind you, the idea was not bad. The French, seeing an opportunity, reportedly wanted higher prices for their Larzac and as usual there was some weight increase/specifications change. The Saturn AL-55I was chosen but things then began to unravel. The original design and project management leaders retired practically en masse. There was no system of retaining them. The engine was delayed by two years over the scheduled delivery and when installed it reportedly would flame out during spins and the TBO was only 250 hrs. To add to the above delays the prototypes suffered two accidents – in one the canopy came off and the Aeroplane skidded off the runway during takeoff. The other –a proper crash- was due to some engine related problem. If that was not enough I believe somehow an ejection seat fired during final assembly damaging and delaying the prototype. I think HAL made a classic mistake of following the specifications and did not allow enough “let” in the design. As the great Sydney Camm used to say “Follow the specifications too exactly and you are a “goner” most of the time”.

The present problems on the HJT 36
My sources- no more than newspapers and what go on in the www. - indicate the following “problems”:

i. Engine flame out during spins
ii. Poor engine TBO.
iii. Wing drop
iv. Spin trials not yet carried out

Engine flame out and TBO. Very little actual details are known but it is surprising to hear of a TBO of 250 hours. This is what was normal with Russian engines some 60 years ago. I cannot believe Saturn cannot do better than that today. They have been in this business for over 60 years. Regarding flame out it is true turbofans are more sensitive to non uniformity of flow across the compressor face. The Y intake duct will have the “in-spin” inlet getting some useful side flows but the ‘out-spin” side will be sucking in a lot of vortices shed by the slab sided front fuselage which is not a help. Both aircraft have a similar height of forward fuselage but I wonder if the Hawk’s lower inlet position is not better for taking in some undisturbed air from the sink velocity flows. Another point you might want to take note of is that the HJT 36’s inlet is bang in line with the wing L.E. Somehow most people try to keep the inlet lip a bit forward by at least a foot or so of the l.E. -Kiran, Hawk, Galeb, Aviojet et al. What might be happening is that in a proper spin with the AOA hitting 50-60 degrees the intake may be full of eddies being shed by the L.E. Is there anything in that I wonder? The Aero L 39 has an exactly similar relative location but the Czech aircraft has a much more slender forward fuselage of more oval cross section so the yaw related eddy would be much less. Of course putting the inlet forward may require a new design for a boarding ladder for the rear cockpit but c’est facile! Scarf the intake lip by 45º may be another idea.
A longer inlet duct always helps to smoothen out the flow. Going by the 3 view available on the net the designer has an estimated 5130 mm between the air inlet lip and the engine exhaust. Take away 1210mm (?)  for the engine leaves 3920 which is about six inlet diameters for the Y and flow stabilizing portion. It would mean that the engine has to be mounted fairly far back to have a reasonable amount of stabilization of the flow. All this, from so far away, of course is conjecture but I know some simple solutions can be thought of.

Wing drop
Wing drop at low airspeed is not really a problem unless it is vicious i.e. the whole wing drops suddenly and without any warning. The idea is to delay the stall at the tip which should stall only after the wing root has stalled so the pilot gets a “sink” rather than a wing drop. There are several standard cures for wing drop at the stall.

i) Keeping the tip chord at a lower incidence than at the root so that the wing root stalls first. Called ‘washout”, it is the aero modeller’s equivalent of the “one eighth packing under the T.E.” during building. In fact with straight unswept L.E.s there is a certain amount of aerodynamic “washout” due to tip vortices and viscosity and thus special “twist’ at the tip is often not needed in light planes.

ii) A change in the tip aerofoil. The designer will sacrifice maximizing lift to choose an aerofoil which is happier at low Reynolds numbers. The Australian Victa had a sharply tapered wing and the designer Henry Millicer had a NACA 23012 at the root and a NACA 4412 at the tip. Our well beloved Gnat had the RAE 108(?) at the root but a deeply cambered thin section (RAE ??) that spoke of circulation theory if you even looked at it. That “conical cambered L.E.” only partially cured the problem because at low speed i.e. on the approach, the Gnat would rock gently from side to side as she came in over the fence.

iii) Automatic slots on the tips like the Me109. But one wants to be careful with that because if un damped, one of the slots may open a little earlier than the other and give one a bit of jerk or spoil one aim in a combat turn.

Seeing how close the IJT 36 is to the HJT 16 it is a wonder that the design team did not use the earlier aircraft’s flying surfaces and saved themselves a lot of time, bother and expense. As a bonus they could have used the old undercarriage also. Using existing sub assemblies happens often enough in Aeronautics. The Beaufort used the Blenheim’s wing and the Supermarine Attacker jet used the propeller driven Spiteful’s wing and the American High manoeuvre test prototype used bits from a lot of other aeroplanes.

Stall
The stall is the first step of the spin. As is well known the flow breaks away causing loss of lift. Expanding a little on this what we can say is that at low velocities the flow lacks the momentum (you can use that lovely onomatopoeic Hindustani word “dum”, if you like!) to overcome skin friction and begins to break away near the trailing edge. It is only on the blackboard that the flow over the wing is ‘homogeneous”. In reality it has micro variations so the breakaway point will shift nearer and further away from the trailing edge causing the often described judder near a stall. Once the speed i.e. momentum of the stream is well below the requirement the breakaway will start close to the leading edge and you have a full developed stall. I will mention here Dr. Winter’s Zaunkoenig , a little 35 hp Zundapp engine parasol monoplane of the ‘40s which had a wing so slotted and slatted that it was apparently impossible to stall the entire wing at any one time and it could almost hover in a strong wing and be flown controllably at as low a speed as 35 mph. Of course one must realize that at those low energy and momentum levels the margins are paper thin. Many young gentlemen wrote themselves off exploring the low speed characteristics of   “harmless” slow flyers such as the Westland Lysander and the Fieseler Storch.

Spin
A spin is NOT a spiral drive. It occurs when one tries to turn at low airspeeds such as in a dog fight or turning off the downwind leg and manage to stall the aeroplane. The following things happen.

i) The aeroplane stalls and because of the turn the “inner” (to the turn) wing is flying at a lower speed than the ‘outer” wing tip. It will stall first, lose lift and go down there by pushing up the  local angle of attack thus stalling it properly.

ii) The outer wing will go up thus reducing its local angle of attack. It is also moving slightly faster the stall speed and so is generating some lift.

iii) The aeroplane now has its two wing halves, one generating slight lift (remember that the mean airspeed is near the stall) and the other no lift. Lifts and drags are related so the two panels have different drags thus yawing the aeroplane.

The aeroplane is at now at a slow forward speed, slowly (relatively) sinking due to loss of lift and slowly rolling and yawing due to the asymmetric and weak lift and drag. Mind you though the wing has stalled the tail plane and the fin are still ‘flying” i.e. it is not stalled. Thank God for small mercies! The empennage do not stall as they are usually of lower aspect ratio than the wing and the tip vortices “wash” over more of the span keeping local angle of attack down below the stall. However there is the danger that if – as in low sectional density aircraft e.g. light planes, the forward speed will decay rapidly below the “flying speed” of the tailplane.

At this point we can make a simple mathematical model to give ourselves some figures and then use an analogue so that we can compare the figures and draw some conclusions that is not all hunch.

The spin model is simple:
The forward speed VH is equated as the stall speed which is calculated using standard formulae. This speed will decay slightly with time as the engine is throttled to idle and because of the cranked up attitude at the stall, the wing and the fuselage acts as a large air brake. The sink speed VV is obtained approximately by calculating the flat plate area of the plan view of the aeroplane. We can calculate the increase and the terminal sink speed VV. It is possible to calculate the rate of increase of the VV with time and in combination with behavior of VH   get the instantaneous flow vector of the aeroplane. The final AOA w.r.t. to the airstream in a spin is usually in the range of 40-700
The yawing and rolling rates can be approximated by knowing the aerofoil characteristics of the aircraft concerned. They are very slow about 0.25-1 turn/sec. and is ignored in this exercise.
So now we can visualize the aircraft as if trapped in a bubble of sluggish, disorderly air, from which it must break out if it is to recover. It is now easy to understand why spins in light aeroplanes can be very disconcerting. The aerodynamic forces are high relative to the inertia forces so they spin quickly and also snap out of the spin rapidly. My favourite story is about the Bucker Jungmann biplane which could be spun rapidly but once the correct procedure was followed it would snap out of it so promptly that it often left the tyro pilot “shattered”.! In light planes the low sectional density means it will lose way quickly and so one could get into a flat spin from which recovery is more difficult. BTW there were aircraft which could not be “spun”. The Erco Ercoupe was one –achieving that by the very limited control movements giving rise to the dreadful pun “No(vices)can’t spin!” and there was the “unspinable” Australian CAC Winjeel. (Young Eagle) which was embarrassing because it was the basic trainer of the RAAF!

Recovery from the spin
Once the pilot realizes he is in a spin and if he is not doing show aerobatics he will first put anti-spin rudder. Apart from subtle and interesting points such as “freeing more of the rudder area” the opposed rudder removes two disconcerting motions i.e. the roll and the yaw thus allowing the presumably frightened pilot to reorient him with the world. He would then push the stick firmly forward to “unstall”’ the aeroplane and recover normally. Just as prototypes have refused to come out of spin - the prototype Fairey Swordfish was one such – despite the pilot’s best efforts - many aeroplane will also often come out of a spin if its controls are kept at neutral. The aerodynamic damping will slowly remove the yaw and the roll and the natural stability will re assert itself but prompt recovery action is recommended to reduce the considerable height loss.

Some physics and maths
One would need proprietary software and huge computers to model and predict spin behavior-and even then get them wrong! There is a much cheaper way of being “wrong” and that is by using fundamentals of Physics and some arithmetic to calculate the relevant parameters. If we can then set up an “analogue” - an aircraft whose configuration and spinning characteristics are ‘known” we can make a reasonable prediction of the new aircraft’s spin behavior or some kind of a figure of merit as a comparison. Here goes!
We need to know:

i) The pitch inertia PI. In this class of aircraft it is approximated by 0.7 ML2. Why 0.7? Because the fuselage is taken to have 0.7 of the mass M and the wings plays no big role. The M is the clean half fuel weight.

ii) The roll (RI) and yaw (YI) inertia. 0.7 ML2 + 0.3M. WS2. L is the length and WS the span.

iii) The tail volume TV which is the area of the tail plane and the moment arm of its centroid with the Cg. This will give the comparative rate at which nose will be pushed down given the pitch inertia.

iv) The Fin volume FV. As above

v) This is the horizontal component of velocity. It will start as the stall velocity and decay with time. The time decay can be approximated by assuming a Cdo.

vi) Vv. The vertical velocity again can be calculated as indicated earlier.

vii) The tail angle θ is the angle that the leading edge of the tail plane makes with the wing trailing and leading edges. The tail plane must be clear of the wing wake to be able to unstall the aeroplane.

viii) The Fin coverage Fθ is the amount of the fin that is covered by the tail plane during the spin. The yaw inertia approximation divided by the blanket factor will give the yaw correction time comparison.

ix) In all cases the height is taken as 2000 mts because the air density ISA is 1.00 and it is the minimum height you would want to spin this class of aeroplane –when in service.

x) The fuselage side area moment which will indicate the damping available for opposing the yaw?

We will now select some aeroplanes which are in service and compare the factors to see where the IJT 36 stands.  Our choices are as follows.

i. The HJT 16. The side by side sitting is an obvious disparity

ii. The Aero L29 which is remarkably similar configurationally.

iii. The Hawk because it is here even though the slight wing sweep adds to stability.

Finally I decided to compare with the Hawk because despite the slight swept wing it is one whose spin characteristics we know. The Aero L 39 Alabatros was actually the better choice but I could not get all the details I needed to compare.

So the results:
Assuming that the empennages are equally efficiently exposed to the resultant airflow, then:

i. Compared to the Hawk the HJT 36 will lose less height during the spin at approximately 60% of the value of the Hawk’s and pushing my luck the IJT 36 will stabilize in a spin in about 4 second compared to the Hawk’s 7 – both times should be treated as comparative rather than actual.

ii. The rate of yaw will be slower at 60% to that of the Hawk due to greater damping.

iii. On application of opposite spin rudder the HJT 36 will recover 15% faster than the Hawk.

iv. On application of forward stick the HJT 36 will be in the correct attitude to recover by a time 30% less than the Hawk.

Whilst the figures are derived from a very simplified model they seem to be sensible. After all the HJT36 is a smaller lighter aircraft than the Hawk.  By the above approximation the figures are excellent because the young gentlemen can have a foretaste of milder jet spin of the IJT before going on to the harder stuff of the AJT.

Uh! Oh!
There is however one little fly in the Ointment. It always struck me that the HJT 36 was “close coupled’ as control line model flyers used to call the Peace Maker or Mercury Matador designs. This close coupling CAN affects the airflow over the tail plane and fin at the stall. If that is so the above results - where I assumed that fin and tail plane effectiveness is same in the analogue as well as the specimen aircraft - may not be obtained despite the potential to do so being definitely there. 
The desirable situation is that when the aircraft stalls the tail plane is clear of the wing wake and the fin is clear of the wake of the tail plane. It is then that the recovery actions will be most effective. I calculated the position of the wing wake at the stall and it appears that the HJT 36 stabilizer is deep within disturbed air shed by the L.E and T.E. of the wing (tail angle 27 degrees minus stall angle 14 degrees equals 13 degrees on the wake whereas in the HJT 16 it is clear and in the Hawk it is 2 degrees in the wake). As a result, the controls of the HJT 16 will not be effective for the first 3-4 secs after the aircraft enters the spin during which the aeroplane may lose about 100 meters in height. This can critical in case of a spin at low altitude. With the Hawk or the Kiran, the tail moves down and out of the wing wake. The sketch at the end of this note makes things clear. Actually in the Hawk the tail stays within the wake at the root - giving good stall warning - but because of the anhedral most of it is below the disturbed wake and therefore effective. Wicked thought! Did BAC make the same mistake as HAL and corrected it with the anhedral or it was a case of force majeure - there was no place else to put the tail? Old Sir Sydney (Camm) would never have allowed that even in his sleep!

The table below is interesting as it compares the angle the Tail L.E. makes with the Wing’s L.E. and T.E. for comparable types.
Type
Angle between Wing L.E. and Tail plane L.E
Do for Wing T.E.
Aero L39
9.5º
18º
Hawk
9.0º
16º
HJT 16
7.125º
13.4º
HJT 36
15º
27º

“Bobbery”? (Hobson Jobson- derived from Hindustani ‘Baap re’ and indicating consternation!)
There is really no need to panic, even if the above prognosis is true. A prototype crashing during spin trials is yawningly boring. The HT-2 had spin related crash. The French Epsilon had a spin related crash but, after Gallic shrugs no doubt, they simply sawed off the old tail and fitted a completely new fin which was as effective as it was elegant! BTW the location of the HJT 36 fin w.r.t. the tail plane, is pretty good.

The above model of the wing wake is true at the stall when the nominal angle of attack is circa 14 degrees. As the aircraft begins to sink faster with time this wake will move counterclockwise and the tail and fin will move into clear air after 3-4 seconds. The total height required to recover from a spin may still be less because inherently the HJT 36 should recover faster than the Hawk.

The real problem is human -psychological and cultural. We have great faith in rigourous analysis and so when things go wrong there is shock induced paralysis. Much time, I have seen, is spent in fixing blame rather than fixing the problem! In the “feel” based approach, which is sometimes, treated as a disability with sophistication, however, the Designer is not only acutely conscious of possible failures but also he has subconsciously prepared several “what if “ scenarios so the nettle is grasped firmly and quickly.

Solution
What I have said is not a judgment but rather a starting focus. What needs to be done now is perhaps to go down to the flight Hangar and “talk” to the aeroplane, noting the subtleties of its contour and using the rough figures of velocities to imagine how the air would sluggishly flow around the nose, the intakes, the wings and from the bottom of the rear fuselage upward towards the fin and tail. One would also imagine how a strake or under fin would behave and on which longeron and frame the strake could be riveted etc.  This is to be followed up using CFD ‘snapshot” assuming the proprietary spin software is not available.

If major corrections are indeed required then HAL Design team may have to accept to make a three four small changes rather than try and cure by a one-step major change solution. The former will be faster!



7 comments:

  1. Prof, did you ever consider that complex problems have very simple solutions to them. All HAL needs to do to solve the problem is to add a dogtooth on the outer one meter of the wing in such a manner that it creates a twist resulting in lower AOA for the outer wing and the intakes should be lowered to have a rising duct which will help create a very stable flow at high AOA. That will also solve the problem of blanking of Rudders. The placement of horizontal tail is perfect for HJT-36. The problem of roll over and engine stalling can be solved by the three changes which I have suggested.

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    1. Dear mukut ji, i am not sure whether ARDC of HAL knows about the solution given by you. HAL has opened up R&D chairs with IITs... if you happened to be in India ,please contact HAL honchos... i am sure they have to entertain to you if they are patriotic....Regards...

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    2. I also suggest that we raise the horizontal tail to be more like Hunter tail-cruciform tail which will bring the horizontal tail out of wing wake.

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    3. Or we give a large anhedral angle to tailplane more like F-4 to bring it out of wing wake.

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  2. pradyut sir,

    Thanks for taking up IJT issue on my previous request. Hope HAL knows your value keeping their egos behind.... If Kalam sir is around he would have formed a crack team to solve IJT issues. one question i have..... The weight issue cant it be solved by going in for composite wings,nose section and some parts of fuselage.... Have you seen Argentina trainer pampa. and polish iryda...pampas has wings on top of the fuselage with large intakes below the wings...does it make a difference....it will be a major modification...how do you correct the reported asymmetry? after spending so many years of development its criminal to clsoe the ijt and go for imports....

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  3. Thank you all for your comments and suggestions.

    I may publish sometime a review of the pros and cons of your suggestions.
    I have my view that three or four small changes- well planned and followed by suitable analysis and flight tests - will solve the problem definitely. In wartime the solution would take 2-3 months but in peacetime, with other pressures......?!

    BTW ,Indranil, I have not been to Bangalore for the past so many years.

    Thanks once again ,all of you

    Prodyut

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