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Extrapolated further, if Mcr for the Me-262 was only .8M in a dive, it was within the envelope of a pursuing Mustang - and that would not be 'insignificant'.
The Spitfire was said to have had an Mcr of 0.89, the Tempest 0.83, the Mustang 0.8, the Meteor 0.83 and the Schwalbe 0.86. Any advantage to the Schwalbe over the Meteor would be at least partly due to the higher aspect ratio of the wing, surely. And that advantage is bought at the expense of lower wing second moment of area and hence structural strength, a tradeoff which only makes sense for a specialist interceptor.
Regards,
Magnon
The snaking - it wasn't specified as just occurring at high speed - was raised by Wendell apparently for an early condition where the aircraft had only two main tanks and an auxilliary tank. (For a total capacity of 529 US gallon).
I don't recall the USAAF report at Wright Pat discussion yaw/dutch roll for any condition except high speed and/or manuever with aft fuel in fuselage. I'll be able to comment more when I unpack my books.
The Me 262 Pilots Handbook indicates that a further 158 gallon rear auxilliary tank had been added and the rear main tank slightly reduced in capacity (total capacity 655 US gallon). One would have to assume that the CG problem had been exacerbated. The last page of the Handbook also indicates that there was going to be provision for two jettisonable tanks of 158 gallon. One would surmise that these would be wing tanks, which would raise the mass moment of inertia of the aircraft again and probably compound the snaking problem.
Negative effect to stability due to external tank Depends on multiple factors and speed/loading envelope
Wendell states that the aircraft would automatically stall in a turn if the CG was too far aft.
MANY aircraft display this nasy habit for aft cg. Actually a mere stall instead of a coupled stall/snap roll is to be desired.
The CFE report on the Meteor states that the CG remained within its design envelope at all times. Your feedback on the Me 262 would be appreciated, especially if you have access to other sources (e.g Wright Pat?). It seems to me to be an intriguing and critical aspect of the aspect of the viability of the aircraft as a dogfighting machine.
This is advantage but not necessarily the winning advantage. Also - the issue may often be mitigated by process - like use fuse fuel before mains.
It would seem to me to be extremely naive to expect that in all cases of air combat you could have consumed enough fuel to keep the CG within its design envelope, particularly as Allied aircraft were lurking around the German airfields.
True - if Fw 190s were attacking Mustang bases all the time, they would have an advantage against a Mustang with full aft tank in most ACM at low level. OTOH fuel was such a shortage that Me 262s didn't have full tanks at all times anyway.
For viable gunnery, not only does the aircraft have to be controllable, but the gun should not be liable to jamming during high-G manoeuvres. The Schwalbe cannon was notorious in this regard. It would seem that the strategy was going to have to always be hit-and-run tactics at high speed. That's very narrow and suited only to a specialist interceptor. But that's exactly what the Shwalbe was designed for.
Regards,
Magnon
Many Allied fighters were very succesful engaging much more manuevrable Axis fighters, particularly Japan, with the primary advantage of just much greater speed. The smart 262 pilot kept his speed up and decided whether to fly away and come back or simply continue on. A P-38 or a Mustang (or F4U or F6F) against a George had best keep the same advice at hand and turn only a limited degree for a brief deflection on such aircraft already pulling high G's.
If you can't fill your fuel tanks, you can't carry out very meaningful operations. Taking this to it's ultimate conclusion, the whole problem could be fixed by having no fuel at all. Maybe this was why 1432 were built, most sitting on the ground and only around 300 were ever used in combat. (Sorry, I'm just being facetious here.)
The evidence that fuel storage was critical is the fact that they started with three fuel tanks, added another auxilliary tank and according to the Me262 Handbook, were looking to add two extra drop tanks. Were the Germans perhaps looking to base the aircraft remotely from Allied attack, hence the need for the extra range?
Regards,
Magnon
When you pose that 'any advantage to the Schwalbe over the Meteor would be partly due to the AR of the wing, surely" - what are you thinking about specifically?
AR would have an effect on Induced drag, but by itself leaves much to be discovered relative to structural considerations. The wing design on the 262 would be influenced by three primary factors - L/D obviously, Structural integrity, and low speed stability. The leading edge slats would have been added to improve manueverability at high AoA as well as add to the low speed handling characteristics. I am not overlooking fuel capacity or the aero interference drag brough about by the nacelles but those would have been in the trade offs while trying to maximize the mission specs.
The sweep, as noted in the historical accounts was designed to move the aerodynamic center at the MAC aft to improve the stability throughout the cg range. It should have, despite repeated opinions, also influenced the drag rise favorably by a couple of percentage points, particularly with later models that sewpt from the root to the tip, rather that straight leading edge from root to engine.
The planform taper/tip would be further refinement to minimize induced drag for that airfoil and also structural considerations
Far more importantly is the root chord geometry and the taper to the wing tip. The depth of the spar at the root and the main beam/torque box geometry will have much to say about both stresses due to the lift distribution effect on bending loads and the tosion applied by aerodynamic loads and vortex which must be distributed spanwise to the root.
Mc/I is of course a classic equation for stress on a homogeneous body due to a bending load - but in airframe design back in those days a 'normal' spar design was top and lower caps (usually extrusions), augmented by wing skin to take out the axial loads resulting from bending and a shear panel to transfer the axial loads from one cap to the other...what did you have in mind with the 'lower wing second moment of area and hence lower strength"??
I can get all the 'strength' one needs to take out bending in say a 9% t/c by either lengthening the chord (Spitfire approach) to deepen the spar (local 'thickness') for a beam cap/shear panel design of certain area and web shear panel thickness, or maintain 9% with shorter chord (Me 262) by a variety of ways but all would increase wing weight. (i.e. increase cap area, same cap area/thicker surface skin)
I was thinking along the lines of what was expressed by A.C Kermode in "Mechanics of Flight - Introduction to Aeronautical Engineering." I don't have anything like your background in this area. Here he was talking about the benefits of aspect ratio in terms of reducing induced drag:
Remember Induced Drag is but one component of drag - and it dominates at low speed with high angles of attack when compared with vortex and parasite drag. At high speeds the drag due to compressibility and parasite drag dominates and induced drag is low by comparison.
"the best we can do in practical design is to make the aspect ratio as large as possible. Unfortunately a limit is soon reached - from the structural point of view. The greater the span, the greater must be the wing strength, the heavier must be the structure, and so eventually the greater weight of the structure more than counterbalances the advantages gained. Again it is a matter of compromise...
True - for same root chord to tip chord geometry - refer back to my conversation a couple of posts back
If I were designing a specialist interceptor, I would compromise towards the low end of manoeuvrability, hence G-forces and hence structural strength.
The Meteor was accepted as having a rugged airframe, and this was proven in around 25 years in Argentinean and Brazilian service. The F 8 airframe was proven to be able to survive quite heavy damage from 37 mm MiG cannon in Korea:
"...Although a strictly subsonic aircraft, the Meteor did have a high performance for a straight-wing fighter; it was rugged, versatile, and capable of being adapted to various missions..."
The post WWII Meteor also experienced growth in capability due to enhanced design features.
The Evolution Of Modern Aircraft NASA
This is a nice table for comparison - but you have noted that the drag presented is for extremely low speed range Reynolds number where induced drag dominates? It would be nice to see the table at higher speeds near Vmax. Visualize Induced Drag as a second degree curve with highest value where the wing first experiences lift and Cl is close to Clmax, then asymptotically approaches its lowest value at top speed where the AoA and Cl is lowest - then place the parasite drag and all its components at a very low level where Clmax is highest and growing as a function of V>>2 - reaching its highest value at highests speed. In the case of these fighters they all were in compressibility range > .55 M and compressibility drag would be added to parasite drag in this range for those airfoils. Not going to discuss the vortex drag component in context of the tables.
Visualize the plot resembling a 'bucket' - hence the terp Drag Polar or Drag Bucket
The Meteor had a much more robust wing as per -
Meteor; Wing aspect ratio; 4.94
Me 262; Wing aspect ratio; 7.32
Meteor; Wing Thickness; 12% root; 10.4% tip
Me 262; Wing Thickness; 11% root; 9% tip
Meteor F3; Wingspan; 13.1 m
Me 262; Wingspan; 12.53 m
Note that the wing drag of the Meteor was higher, but because the nacelles were integrated with the wing, the Meteor nacelle drag was less than the Me 262 (see attachment), despite the centrifugal compressor forcing a larger engine diameter.
I'd be interested to know how you would interpret the "miscellaneous" item?
Regards,
Magnon
What micellaneous item? From inspection of data above it is clear that the mean chord for the Meteor is quite a bit longer than the 262 (i.e greater wing span but lower Aspect ratio). This data also implies a thicker (Deeper) airfoil than the wing thickness % imply. This further implies the wing drag of the Meteor is higher (independent of induced drag).
What micellaneous item? From inspection of data above it is clear that the mean chord for the Meteor is quite a bit longer than the 262 (i.e greater wing span but lower Aspect ratio). This data also implies a thicker (Deeper) airfoil than the wing thickness % imply. This further implies the wing drag of the Meteor is higher (independent of induced drag).
That's arguably an understatement... The wing area of the Me 262 was less than two thirds that of the Meteor. The wing spans were similar. That makes the mean chord of the Me 262 wing around two thirds that of the Meteor. With the average ~10% higher t/c ratio of the Meteor wing, the resulting average wing thickness is also less than two thirds that of the Meteor. As the second moment of area is a function of Ay^2, I would have thought that that leaves a lot to make make up in terms of thickening of wing members and skin. Of course this would be important not only for bending, but also torsion, particularly if as you say they were intending to install wing drop tanks.
I am still curious regarding your application of 'second moment of inertia'? to any extrapolated comparison between the two ships. I would have to have the actual cross sections from the wing tip to the root chord as well as the aero load distribution and twist to begin to start on any structural/stress analysis.
Torsional effects were more pronounced for swept wing configurations as well as spanwise flow complications - the MiG 15 had quite a bit of trouble until they installed wing fences - as an example -
DragonDog: Mc/I is of course a classic equation for stress on a homogeneous body due to a bending load - but in airframe design back in those days a 'normal' spar design was top and lower caps (usually extrusions), augmented by wing skin to take out the axial loads resulting from bending and a shear panel to transfer the axial loads from one cap to the other...what did you have in mind with the 'lower wing second moment of area and hence lower strength"??
The Republic Thunderjet had these sorts of problems in the early fifties:
Extract from Wikipedia
"The structural improvements were factory-implemented in the F-84D, which entered service in 1949. Wings were covered with thicker aluminum skin, the fuel system was winterized and capable of using JP-4 fuel, and a more powerful J35-A-17 engine with 5,000 lbf (22.2 kN) was fitted. It was discovered that the untested wingtip fuel tanks contributed to wing structural failures by inducing excessive twisting during high-g maneuvers. To correct this, small triangular fins were added to the outside of the tanks. The F-84D was phased out of USAF service in 1952 and left Air National Guard service in 1957.""The first effective and fully-capable Thunderjet was the F-84E model which entered service in 1949. The aircraft featured the J35-A-17 engine, further wing reinforcement, a 12 in (305 mm) fuselage extension in front of the wings and 3 in (76 mm) extension aft of the wings to enlarge the cockpit and the avionics bay, an A-1C gunsight with APG-30 radar, and provision for an additional pair of 230 gal (870 L) fuel tanks to be carried on underwing pylons."
By the way, Republic converted the F 84 from straight wing to 38.5 degree swept wing and reportedly found little benefit:
Air, Land and Sea: 2008-08-10
Design and development
In 1949, Republic created a swept wing version of the F-84 hoping to bring performance to the F-86 level. The last production F-84E was fitted with a swept tail, a new wing with 38.5 degrees of leading edge sweep and 3.5 degrees of anhedral, and a J35-A-25 engine producing 5,300 pound-force (23.58 kN) of thrust. The aircraft was designated XF-96A. It flew on 3 June 1950 with Otto P. Haas at the controls. Although the airplane was capable of 602 knots (693 mph, 1,115 km/h), the performance gain over the F-84E was considered minor. Nonetheless, it was ordered into production in July 1950 as the F-84F Thunderstreak. The F-84 designation was retained because the fighter was expected to be a low-cost improvement of the straight-wing Thunderjet with over 55 percent commonality in tooling.
In the meantime, the USAF, hoping for improved high-altitude performance from a more powerful engine, arranged for the British Armstrong Siddeley Sapphire turbojet engine to be built in the United States as the Wright J65. To accommodate the larger engine, YF-84Fs with a British-built Sapphire as well as production F-84Fs with the J65 had a vertically stretched fuselage, with the air intake attaining an oval cross-section. Production delays with the F-84F forced USAF to order a number of straight-wing F-84Gs as an interim measure.
I am not sure where you are going with this. Republic was (and is) famous for building aircraft which invariably utilized all available runway - all the time. The nickname for the F84F was 'Gravel Gobbler' and the F-105 was the 'Thud'. The difference between the two aircraft other than sheer size was that the 105 pilots favorite comment to F-15 and F-16 pilots on the deck chasing them was 'Check your 12" - meaning they couldn't be caught from behind at low altitude. The current rugged beast is the A-10, an absolute marvel for CAS but barely faster than a Mustang and slower than the Me 262.
As to torsion - as torque box is always a more complicated design than a wing spar and actually more esoteric when looking at asymetric load transfer from tail to fuselage - but nevertheless far more complex relative to a homogeneous spar or beam.
The Thunderjet wing had a relatively moderate aspect ratio at around 5:1. Your feedback would be appreciated.
the lower the aspect ratio, the lower the profile drag for the wing and also less complexity in designing for wing torque in swept wing aircarft. Virtually all high performance aircraft with a design balance between speed and manueverability (for last 30 years) will have an AR somewhere between 2 and "3 something"
In terms of drag, the Meteor could well afford to trade off increased wing drag in return for improved ruggedness and manoeuvrability due to the possession of more powerful and efficient engines (20% lower specific fuel consumption).
Not if combat with a significantly faster opponent is a desired mission. Visualize a MiG 15 vs F84 or Banshee?
By the way, I would still like to see your feedback on the hot end temperature analysis re the JUMO and the Derwent.
Thermodynamic efficiency is enhanced with greater delta between intake and exhaust temps - the rest is trade offs and compromises based on metallurgy...
I will take that as - "As an airframe specialist, I don't give a stuff about powerplants."
Somewhat true - engine design is a deep and complex discipline. I took two propulsion curses and discuss aspects of the theory (after 45 years) but never designed an engine per se. Have been involved in inlets however but even those were all either very low speed helicopter or very high speed multi mach supersonic.
It seems to me that that's the sort of thinking that led to all the problems with the Schwalbe. "Design the airframe first and then the rest can just be improvised along the way."
I would say that you are incorrect. Airframe, avionics, armament, powerplant, landing gear teams work closely throughout a design process - before preliminary design is complete - all the way through the design cycle. I have no experience with Messerschmist but I feel confident they did Not take that attitude.
I have attached a copy of bench testing on the JUMO over a period of 7.5 hours. It is generally accepted that three hours on a test banch were equivalent to around one in combat. (That's assuming the engine wasn't "cooked" in a panic opening of the throttle or due to a surge event in combat).
With respect to the Jumo - what is speculation versus fact vs generally accepted?
From the graph, I'd estimate a 2.5% drop in thrust and 4.5% increase in specific fuel consumption. It would be reasonable to surmise that over the usual ten hour JUMO engine life in combat, a very much more dramatic drop in performance of the aircraft would result.
You make a lot of assumptions, some based on speculation some on fact. In which category do the above fall? When engines decrease performance significantly - there is an engine change and the sub par engine is either overhauled or scrapped so as to not accept 'sub par performance'
The other thing I'd like some feedback on, one way or the other, is the analysis on on post #34 on http://warbirdsforum.com/showthread.php?t=451&page=4
The bottom line here was:
Summarizing, the speed margin of the 262 versus the wartime Meteor III equipped with the 2000lb S/T engines would be
Sea level 4mph (0.82%)
5K 12mph (2.45%)
10K 20mph (4.04%)
15K 24mph (4.81%)
20K 34mph (6.83%)
25K 38mph (7.72%)
30K 24mph (4.94%)
Two factors limited the Meteor III's speed, i.e. a structural limit of 500mph and a critical mach of 0.74, whichever was met first.
Regards,
Magnon
Who said the drop tanks were to be installed under the wings anyways. AFAIK they were installed underneath the fuselage where the A-2 had the bomb racks. See also Me 262 B-1a:
I will take that as - "As an airframe specialist, I don't give a stuff about powerplants."
DragonDog quote:
"Somewhat true - engine design is a deep and complex discipline. I took two propulsion curses and discuss aspects of the theory (after 45 years) but never designed an engine per se. Have been involved in inlets however but even those were all either very low speed helicopter or very high speed multi mach supersonic."
Now was that just a Freudian slip - propulsion curses?
This seems to me to confirm what I believe we have agreed, that the Schwalbe wing design was optimised for a relatively narrow high speed interceptor role.
Regards,
Magnon
I have attached a copy of bench testing on the JUMO over a period of 7.5 hours. It is generally accepted that three hours on a test banch were equivalent to around one in combat. (That's assuming the engine wasn't "cooked" in a panic opening of the throttle or due to a surge event in combat).
From the graph, I'd estimate a 2.5% drop in thrust and 4.5% increase in specific fuel consumption. It would be reasonable to surmise that over the usual ten hour JUMO engine life in combat, a very much more dramatic drop in performance of the aircraft would result.
The other thing I'd like some feedback on, one way or the other, is the analysis on on post #34 on http://warbirdsforum.com/showthread.php?t=451&page=4
The bottom line here was:
Summarizing, the speed margin of the 262 versus the wartime Meteor III equipped with the 2000lb S/T engines would be
Sea level 4mph (0.82%)
5K 12mph (2.45%)
10K 20mph (4.04%)
15K 24mph (4.81%)
20K 34mph (6.83%)
25K 38mph (7.72%)
30K 24mph (4.94%)
Two factors limited the Meteor III's speed, i.e. a structural limit of 500mph and a critical mach of 0.74, whichever was met first.
Regards,
Magnon