delcyros
Tech Sergeant
Don´t want to interfere but I still have the performance figures left out.
The performance model is based on the Ar-240 but with modifications.OK, so for this plane with 2x DB-601A and a full pressure height of 4500m we have a max speed: 618 km/h or 384 mph @ 4700m (including ram effects) - I will use subscript "1" for this model in the analysis below.
Power delivered is Thrust x Velocity. This is the power after the losses due to the gearbox and propeller inefficiencies.
P = T x V
At equilibrium straight-and-level flight (such as when maximum level speed is attained), Thrust is equal to Drag. Thus, the power required from the engine/gearbox/propeller combination is:
P(required) = D x V
Also, we know drag can be written as:
D = 1/2 x rho x V^2 x S x CD
where rho is local air density, V is true airspeed, S is wing area and CD is the aircraft drag coefficient.
With the power curves and the reported top speed of the Ar-240, it is possible to graphically extrapolate the speed / altitude curves:
Since the As-411 driven Ar-137 does only have a full pressure height of 3000m, we should take this into account as a reference altitude. At this altitude, the top speed of the Ar-240 was approx. 585 km/h or 363 mph and 2 x 995 hp were required from the Db-601A/B to achieve this speed.
Further when we study th wing area, we will see that the Ar-137 is just half the size of the Ar-240:
S[1] = 31,3m^2 -Ar-240
S[2] = 15,5m^2 -Ar-137
Unfortunately, the drag coeffcient is larger. In fact, the Ar-240 -thanks to the adoption of a high speed airfoil- was exceptionally clean aerodynamically. I got a CD-figure from rds-student, basing on wetted surface, frontal area and form factors beeing almost double as high as that for my Ar-240 simulation!
Ground attackers are not really aerodynamically efficient when relying on a high lift airfoil. Even with geared drives and center engines...
Ok-so far. This allows us to simplify top speed projections a bit. We have twice the CD but only half the reference area so both effects cancel each other out in this case, unless some fairly large changes to the model are made or compressibility effects are involved.
V[2]= V[1] * (sqrt^3(P[1]/P[2]))
= 585 * (sqrt^3(570/990))
= 510 km/h or 317 mph
300 mp/h at Bodenlader altitude is a reasonable top speed for an attacker
Performancewise, this is not stellar nor outstanding but it allows for a very fast speed at or close to Sealevel with an inferior engine. Quite an accomplishment (Anyone around interested to build a Reno Airracer with these center engines?).
The backside of the coin may be seen in a rather low service ceiling (ca. 7000m, of secondary importance for the mission profile). The high drag figure in combination with a high weight probably does not make for a good turner, too and single engine performance would be difficult -at best.
As a matter of fact, the drag coefficient is better than that of the Hs-129 (primarely due to missing nacelles and more thrust delivered by the prop installation) but not by much. Had the Ar-137 the same wingarea as the Hs-129, it would have been only able to hit 432 km/h at 3000m. Only a slight improvement over the Hs-129. The big improvement is the reduction in area and associated general drag reduction.
The performance model is based on the Ar-240 but with modifications.OK, so for this plane with 2x DB-601A and a full pressure height of 4500m we have a max speed: 618 km/h or 384 mph @ 4700m (including ram effects) - I will use subscript "1" for this model in the analysis below.
Power delivered is Thrust x Velocity. This is the power after the losses due to the gearbox and propeller inefficiencies.
P = T x V
At equilibrium straight-and-level flight (such as when maximum level speed is attained), Thrust is equal to Drag. Thus, the power required from the engine/gearbox/propeller combination is:
P(required) = D x V
Also, we know drag can be written as:
D = 1/2 x rho x V^2 x S x CD
where rho is local air density, V is true airspeed, S is wing area and CD is the aircraft drag coefficient.
With the power curves and the reported top speed of the Ar-240, it is possible to graphically extrapolate the speed / altitude curves:
Since the As-411 driven Ar-137 does only have a full pressure height of 3000m, we should take this into account as a reference altitude. At this altitude, the top speed of the Ar-240 was approx. 585 km/h or 363 mph and 2 x 995 hp were required from the Db-601A/B to achieve this speed.
Further when we study th wing area, we will see that the Ar-137 is just half the size of the Ar-240:
S[1] = 31,3m^2 -Ar-240
S[2] = 15,5m^2 -Ar-137
Unfortunately, the drag coeffcient is larger. In fact, the Ar-240 -thanks to the adoption of a high speed airfoil- was exceptionally clean aerodynamically. I got a CD-figure from rds-student, basing on wetted surface, frontal area and form factors beeing almost double as high as that for my Ar-240 simulation!
Ground attackers are not really aerodynamically efficient when relying on a high lift airfoil. Even with geared drives and center engines...
Ok-so far. This allows us to simplify top speed projections a bit. We have twice the CD but only half the reference area so both effects cancel each other out in this case, unless some fairly large changes to the model are made or compressibility effects are involved.
V[2]= V[1] * (sqrt^3(P[1]/P[2]))
= 585 * (sqrt^3(570/990))
= 510 km/h or 317 mph
300 mp/h at Bodenlader altitude is a reasonable top speed for an attacker
Performancewise, this is not stellar nor outstanding but it allows for a very fast speed at or close to Sealevel with an inferior engine. Quite an accomplishment (Anyone around interested to build a Reno Airracer with these center engines?).
The backside of the coin may be seen in a rather low service ceiling (ca. 7000m, of secondary importance for the mission profile). The high drag figure in combination with a high weight probably does not make for a good turner, too and single engine performance would be difficult -at best.
As a matter of fact, the drag coefficient is better than that of the Hs-129 (primarely due to missing nacelles and more thrust delivered by the prop installation) but not by much. Had the Ar-137 the same wingarea as the Hs-129, it would have been only able to hit 432 km/h at 3000m. Only a slight improvement over the Hs-129. The big improvement is the reduction in area and associated general drag reduction.
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