Is V best endurance configuration the best way to save a heavily overloaded aircraft?

After reading this, we all agree "the experienced pilot takes over, lowers the nose, and the plane is saved".

Not bad advice, but what speed offers the greatest amount of excess thrust required to climb (not excess "power"). Is Lift/Drag ratio really highest at Vbg, or is it actually highest at Vmin sink? Would increased prop efficiency actually make an airspeed closer to Vx with flaps a better way to prevent a crash?

We all have learned that lift is less than weight in a climb, but could increasing Coefficient of Lift with flaps and flying Vx be the best chance to save the day?

Unfortunately, I don't think this question is answerable, at least not with a definitive answer, because the answer is that it is undefined.

In the linked video, we're clearly looking at an aircraft that is being operated well outside of its design limits (overweight, out of balance, possibly high density altitude). Talking about which of the V_sub numbers is best to fly in this case is absurd, because all of those numbers assume the aircraft is being operated within its design performance envelope.

I have attached a basic L/D chart below. Notice how the lines behave toward the edges. A plane being operated outside of the envelope will be off the left side of this chart, where the numbers increase asymptotically. What this is saying is that there is eventually a configuration where the plane is incapable of flying at ANY number. I think the plane in the video was perilously close to that threshold.

As a glider pilot, we have the idea of "best speed to fly," which may be minimum sink, maximum glide (L/D), or any speed in the operating envelope of the aircraft. Min sink is usually just above stall speed, but you're moving pretty slow. It's ideal for climbing in a thermal, where you want to move slow. However, if you're doing a glider race, you'll want ballast in the wings for extra boost to the optimal l/d speed, so you can travel farther at a faster speed.

If you're in an area of sinking air, you'll go faster than best L/D. Flaps add drag. We only want to extend flaps when we're looking to decrease stall speed and fly slowly, at the expense of needing additional power to fly at that low speed. But, the only guidance for an overloaded plane is to remove weight before trying to take off.

• Re: your comment: V best endurance is a powered aircraft. We can agree Vbg is best speed aerodynamicly, but excess thrust is higher at lower speeds. That is why V best endurance may actually provide max lift. With the 172, Vx is flown with flaps 10. Your answer may be applicable to jets. Jan 20, 2022 at 22:04
• You'd probably need to be traveling at jet takeoff speed to get enough lift for that overloaded plane... best endurance is not going to be shaped like this, and won't have the aerodynamics taken into account. If your airplane will stall at anything lower than full throttle, you're stuck at full throttle and best endurance speed is the same. Jan 20, 2022 at 22:25
• That speed is published in the POH for the aircraft. For a 172, it's 75-85 kias, and I haven't looked, but there's probably a chart to go along with it. Irrelevant if you're unable to achieve that airspeed due to excessive induced drag. Jan 21, 2022 at 5:58