Hi Sg,
>if MF pres is constant with alt, will eng ouput be constant w/alt?
With the Engine Calibration Curve for the R-1820-56 with an engine-driven supercharger in front of me, I'd say: Constant manifold pressure doesn't mean constant power.
The power gained from a certain manifold pressure/RPM setting is lowest at sea level and then increases with altitude to the critical altitude of the first supercharger gear. For the R-1820-56 at 43" Hg/2600 rpm, power output is 1120 HP at sea level and 1200 HP at 5800 ft. (Above this altitude, manifold pressure drops, reaching a minimum of 34" Hg at 13000 ft, yielding 960 HP.)
At 13000 ft, the pilot switches (manually) to the 2nd supercharger gear, restoring 43" Hg manifold pressure, yielding the same 960 HP. Power will slightly increase to 17800 ft, then manifold pressure will drop of again, reaching something like 27" Hg at 30000 ft where the curve ends. The engine will be down to 620 HP there.
>will speed of climb and rate of climb be constant with a constant MF pres?
First, let me modify the question to "... at constant power" to make things a little easier :-)
With constant power over altitude, the rate of climb will drop. If you'd climb at constant true air speed, this drop would be pretty bad, since the thinner air would require you to increase the angle of attack quickly, making the wing more and more inefficient, until you'd stall out.
To climb more efficiently, you have to increase the true air speed to keep the angle of attack shallow (thereby avoiding the stall).
Now you could try and keep the angle of attack at the optimum for climb at sea level, which would mean keeping the indicated air speed constant. You'd still lose climb rate over altitude since the higher resulting true air speed in the thinner air at altitude would mean that the thrust produced by the propeller would decrease, leaving you with a decreased climb rate.
The solution is to find the optimum speed where the angle of attack is still pretty shallow, and yet the thrust is still pretty good. This solution involves true air speed increasing with altitude, but indicated air speed actually decreasing.
In other words, the climbing aircraft would fly with a greater angle of attack, but nevertheless climb on a shallower flight path for the optimum rate of climb.
However, even flying at the optimum speed, the climb rate would still drop with altitude. There's no way around that :-)
Regards,
Henning (HoHun)