Its quite common in the western US to land at an airport that is in a valley surrounded by tall mountains. Recently I had to drop 5 k ft in about 5 miles. I circled to land but it got me thinking.
Im a retired engineer flying an RV7.
I did a mathematical study and a practical flying study to determine weather its better to "get down (at a high speed) and then slow down". vs "slow down then get down".
So far my results are inconclusive. Any thoughts?
I would say that this greatly depends on what your goals are and thus what you define as "better", as well as what aircraft type you're flying.
Some aircraft-specific examples:
* A DA40 does a really nice falling-leaf stall with about a 1500 fpm descent rate and a low forward speed - Excellent if you're trying to make an off-field forced landing.
* A TBM with proper motivation can get on the ground from FL310 in five minutes, which is a very nice feature if you're on fire or you otherwise need to get on the ground NOW.
* My Mooney does high-speed descents very well - Pull power, pull back on the yoke briefly to get below the Vlo(ext) speed of 140 KIAS, and then push the nose down to accelerate back up to the Vle of 165 KIAS. With all that drag and trying to go that speed, frankly I've never dared get it all the way back up to that speed because you literally don't see any sky out the front any more, or even close!
* Are you flying an airplane that can spin well? For certain scenarios, a spin will get you down nice and fast without carrying a ton of extra energy that needs dissipating before landing.
Now, for a few scenarios:
* IFR, you probably don't want to be in an overly big hurry to hurtle toward the ground when you can't see it. VFR, not as big of a problem.
* If you're on fire, you need to get on the ground NOW no matter what. That descent needs to be quick!
* If you have a medical emergency on board, you might want to consider a fast descent to a bigger city airport that's 20 miles in front of you instead of spiraling down to Podunk Muni directly below you where you'll be on the ramp WAY before an ambulance can make it there.
Given that it sounds like your goal was to get to an airport with terrain nearby as expeditiously as you can, it sounds like a high descent gradient is the goal and you're not really under a time crunch. In an RV, you really only have flaps for drag, or possibly constant speed prop. I'd probably put in full flaps and then fly at Vfe, maneuvering as necessary to get where you need to be.