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Davparlr,
Speed is the only advantage the P-51H has, and had it been introduced then it would've been facing Jumo 213EB powered Ta-152's which were just as fast.
If ?? If ?? Now davparlr come on, there really should be no doubts.
Ofcourse the Ta-152H will turn better at all speeds as it's got both a much lower lift loading and a much higher L/D ratio.
Ailerons don't control pitch. Like many pilots have said, flying the P-51 at high speed was like driving a truck, the elevator controls got stiff as concrete. The Fw-190 and Ta-152 however feature almost dangerously light controls at high speed, and care had to be taken regarding moving the stick around in high speed dives as you could quickly cross the structural integrity barrier.
Well chock another one up to wiki...
Like many pilots have said, flying the P-51 at high speed was like driving a truck, the elevator controls got stiff as concrete. The Fw-190 and Ta-152 however feature almost dangerously light controls at high speed, and care had to be taken regarding moving the stick around in high speed dives as you could quickly cross the structural integrity barrier.
The elevator response was not stiff except for being deep in compressibility which would have been similar in Fw. You have a reference that says the Fw 190 had 'light' control forces for all axes in near compressibility?
According to the chart the top SL speed with the EB engine is 605 km/h,.
and climb rate would increase by approx. 250 to 300 ft/min at SL but considerably more so with increase in altitude
And regarding your question about using the right weights, yes I used the right weights, I tried with both 4,300 kg 3,900 kg, no change the P-51H still has a far higher lift-loading and much worse L/D ratio, and finally its airfoil makes for poor flight characteristics in turns.
Finally regarding the elevator control forces of the P-51, I have qoutes from -51 pilots who don't agree with you at all Davparlr! They mention that 109's pulled out of high speed dives much quicker than they ever could.
I certainly would like to see how you figured this, but I won't argue the point.
The lift-loading part or the L/D ratio part ? The Lift loading you should know by now so it must be the L/D ratio you're questioning.
Well davparlr, the higher the wing AR the more efficient the wing is. A higher AR wing features a lower Cdi and a higher Clmax than a lower AR wing, giving the higher AR wing a higher lift to drag ratio (L/D), which is crucial to energy retention in maneuvers.
The L/D ratio of an a/c is derived as such:
L/D ratio = Cl / Cd
Cd = Cd0 + Cdi
Cd0 = {Negligable as it always lies in the 0.02 -0.025 area}
Soren - at high speeds Cd0 dominates and Cdi which does depend on AR and CL becomes less important.
In fact the Cd0 of a 51H is the lowest of the prop fighters in the war and close (but higher) to the P-80
Cdi = (Cl^2)/(pi*AR*e)
The L/D ratio of the wing alone is derived as such:
Cl / Cdi = L/D
So to demonstrate the importance of wing AR alone lets compare two similar a/c with different AR wings with the same airfoil.
For the comparison we will assume the higher AR wing has a Clmax 0.05 greater in magnitude, while both a/c have the same Cd0 of 0.02
This is an incorrect assumption - that Cd0 is the same unless you can prove it. The only detailed source for referenced wind tunnel and flight test Cdo is in Lednicers Reports which we beat to death. In that report the 51D was significantly lower than the Fw190D-9 and a lot cleaner than the Spitfire IX.
:
Aircraft Nr.1 (Wing AR = 9)
(1.35^2)/(pi*9*0.85) = 0.0758326494
Cd = 0.0758326494 + 0.02
1.35 / 0.0958326494 = 14.0870571
__________________
L/D = 14.08
Aircraft Nr.2 (Wing AR = 6)
(1.3^2)/(pi*6*0.85) = 0.105479158
Cd = 0.105479158 + 0.02
1.3 / 0.125479158 = 10.3602863
__________________
L/D = 10.36
L/D ratio differential = 35.9 %
Now let's compare the Ta-152H and P-51H:
Before you start the comparison, explain why you wish to start at Max CL presumably at max AoA for both ships, further presuming either comparisons in max climb or max turn, but not at high speed?
And as you proceed below why you are using different airplane efficiency factors between the two ships. What is your source of data?
Ta-152H
(1.62^2)/(pi*8.94*0.83) = 0.112580856
1.62 / 0.112580856 = 14.3896579
__________________
L/D ratio = 14.38
P-51H
(1.35^2)/(pi*5.8*0.82) = 0.121976402
1.35 / 0.121976402 = 11.0677146
__________________
L/D ratio = 11.06
Difference in L/D ratio = 30 %
Seems your intuitiveness is a bit off. The P-51H has a better rate of climb than the Ta-152H probably up to 25k. In time to climb, it is equal or better to 33k. This is at equivalent fuel weights.Having asked the questions I think the Ta 152 intutively will climb
Like the F6F pilot fighting a Zero, it would be unwise for the P-51H to engage the Ta-152H in a turning fight at any altitude. But it didn't keep the F6F from dominating the Zero.and turn better in a sustained combat.
This is an incorrect assumption - that Cd0 is the same unless you can prove it. The only detailed source for referenced wind tunnel and flight test Cdo is in Lednicers Reports which we beat to death. In that report the 51D was significantly lower than the Fw190D-9 and a lot cleaner than the Spitfire IX.
:
Before you start the comparison, explain why you wish to start at Max CL presumably at max AoA for both ships, further presuming either comparisons in max climb or max turn, but not at high speed?
And as you proceed below why you are using different airplane efficiency factors between the two ships. What is your source of data?
Why didn't you just edit it then?
Bill,
The Clmax figures presented have all been established in windtunnel and flight tests, none are assumptions, they're the real thing, so there's really no point in discussing it.
Soren - I just agreed ClMax as you presented it is fine for level flight, and also for climb - but mention high turns infuence aeroelastic bending and torsion. You have wind tunnel results for this?
As for diving down a rathole, well what the heck is that supposed to mean ?? This isn't about CdSwet or anything like that we were discussing a long time ago.
Soren - I am not attacking you. I am not challenging the equations, other than the equations hold in a free body diagram but comparing the two against each other need specificity of Thrust, and the velocity you are making the comparison for
Maybe I missed that part of your analysis?
I pointed out that a series of assumptions you made about Cd0 and e may not be true absent sources everyone can look at and make their assumptions about your assumptions. So as you have differences on e and assumptions on Cd0 - what is your reference that we can all look at?
What did I miss on your presented sources to validate the numbers to insert for Induced Drag and Parasite Drag
Also why is it you keep clinging to the Cd0 ? It has close to no effect at all in turns, and again we're comparing turn performance NOT straight out speed. It is for straight out speed where Cd0 becomes important.
CD0 and Parasite drag are interchangable unless you define what else you are addingg to wetted drag to build up to total Parasite Drag of that airframe at that velocity and altitude? The CDwet in Lenicer's report of .0053 very closely agreed with the published Ames and NACA and NAA Cdwet data from wind tunnel data and calculations at the Reynold's number of the tests.
IIRC the flight speeds of the finite element model was (~ 320 mph @15,000 feet??) but Ill have to go back and check. Whatever, what is the Cdwet for the Ta152 and what other values do you have to support your assumption for total Parasite Drag in your calculations?
So what data caused you to discuss the range of .020-.025, then arbitrarily pick the value you used?
And finally regarding the Oswald efficiency factor, well Bill wing designers from all sides took this into account and designed their wings to have the highest value possible, altering tip geometry, thickness, wash out etc etc to reach the optimum value.
So? You want to compare the oswald efficiency of the V-1 to the Me 109 and state they are the same? All geometry, wash out, tip geometry, AR, flap, LE, decisions were trade off's based on the desired best performance envelope. If the P-51 had been designed as a High altitude bomber interceptor it would have had different compromises. If the Ta 152 had been designed as a turn dogfighter to specifically defeat a Zero at low altitude and speed - ditto.
Further structural design is based on a variety of factors including carrier qual, manufacturing cost, material weights, stiffness requirements, climb performance targets, range, etc.
Fecal matter happens if compromise on the oswald/wing efficiency factor are made to accomodate other design requirements. Ergo they may not be optimal, nor the same
I have an interesting chart from NACA which discusses and illustrates the difference in 'e' between different geometry wings of different thickness and AR. According to that report the Ta-152's wing design would've had a 'e' figure around 0.83 while the P-51's wing designw ould have one around 0.82 (Taking the NAA airfoil into consideration), with the 23000 series airfoil in increases to around 0.86 to 0.87. The NACA 23000 airfoil creates elliptical lift distribution which is what increases the 'e' factor.
Bill,
The NACA windtunnel tests were with entire wings, not just airfoils, and the established average Clmax was 1.58 for a wing with a TR of 15 to 09% and a AR of 6. And funny enough this is the exact same figure established by FW in their windtunnel and flight tests with the Fw-190.
What you said was "The NACA 23000 airfoil creates elliptical lift distribution which is what increases the 'e' factor."
The airplane efficiency factor "e' has three primary components, namelythe increase in drag due to non-elliptical spanwise airload distribution,the increase in trim drag and the increase ins in drag attributed to angle of attack.
Cdi= {CL>>2*[1+phi]/Pi*AR} + {CL>>2/pi*AR*e - CL>>2*[1+phi]/pi*AR}
The first {} is induced drag due to wing only, the second {} is due to all factors except wing, such as trim drag on elevator, or centerbody drag at high AoA.. looking at the above equation, it can be seen that the second {} values depend on magnitude of 1/e and (1+phi).
"e" varies from flight test vales primarily and from that it is the slope of CD vs CL>>2 usually between .75 and .95. For Preliminary Design purposes usually .8 is selected to start with.
"phi" is a correction factor dependent on taper ratio, and =0 for elliptical spanwise distribution. Empirical results for AR between .3 and .6, the increase to Cdi over an elliptical plan form is in the vicinity of 1%.
Phi is lowest for taper ratios of between .4 an .5 increasing for lower and higher values. Wings with TR = 4 have about the same results as a wing of elliptic planform
Phi is lowest for low aspect ratios (~.02 for AR=2 and increases to ~.075 for AR= 10)
The source, if you want to look at it is chapter 4.2 and 7.15 of Supersonic and Subsonic Airplane Design by Gerald Corning, Martin Aircraft Company and professor University Maryland - 1960 - or offer your own approach.
Bottom line - planforms influence elliptical lift distributions, twist influence approximations to elliptical wings re: elliptical lift distribution but the airfoil does not per se - it is planform of the wing
As for aeroelasticity, well again the Ta-152's wing featured washout to combat this, just as the Fw-190 P-51, the Fw190 just had the added advantage of achieving full elliptical lift distribution in tight turns.
Bill,
The Fw-190's wing was just as stiff as the P-51's if not more, it was the difference in twist which caused the different stalling behavior, it had nothing to due with insufficient wing tip strenght and I have no idea where you got that from.
I did not say anything about strength - Don't confuse strength with aeroelacticity or the susequent issues surrounding deflection, resonance or fatigue.
I explained that the combination of torsional deflection about the spar axis - and the combination of zero twist in the outboard 20% of the wing - IMO was the factor that caused the vicious stall. I 'got that' from my own knowledge of the forces on a sufficiently 'elastic' or 'torsionally suceptible to rotation about a spar axis' that a.) cause control reversals in a Spit wing and b.) the discussion of the apparent problem of high G stall of the FW 190 in Lednicer's report, as well as citing the FockeWoulf/LW report on the subject.
And as for the Fw-190 achieving elliptical lift distribution in turns, it did, go ask Gene, I questioned him very directly about this:
Go ask him again - this time specifically cite what I said about "elliptical vs 'elliptical like' and the design approaches used to take a non-elliptic wing and work toward achieving 'elliptical like' lift distributions.
Report back.
And then regarding the 'e' factor, I dunno why you talk about "breaking the code" ? The designers went for optimal effeciency during specific conditions of flight, and in the case of the Ta-152 Fw-190 this was in tight turns. There was no optimum for all conditions, it was about compromising for a specific flight condition.