Regardless of the current, the water you travel through will be the water you travel through, even if you don't get anywhere because of current.
All true, but let's try an extreme example.
Suppose my most efficient speed is 3 knots through the water, and I decide I'm going to save money by never exceeding that.
I head upriver and encounter a 3 knot foul current. My speed over ground drops to zero, my NMPG drops to zero and my ETA becomes infinite. Obviously I'm not saving any money, even if I'm in no hurry to get anywhere.
In fact, the faster I go, the less time I'll spend fighting the current before I get there.
Somewhere, there's a "sweet spot"; a trade-off between minimizing the time spent fighting a foul current and burning more fuel.
I think "sweet spot" is now confusing in this thread...some I think were referring to where the engine and boat "sound" or "feel" in harmony...but little to do with efficiency...then some started using the term to mean where the boat is "relatively" efficient...but we all know that's a fleeting concept because of environmentals.
Maybe I did throw around words like "efficiency" and "sweet spot" loosely.
Still, if you go 3.1 knots against that hypothetical 3 knot current, you're making .1 knots of headway. You're burning fuel for one hour to go just over 600 feet.
Bump it up to 4 knots. That's one knot over ground. Now it takes you 6 minutes (1/10 of an hour) to go that same 600 feet.
This may just be about terminology, but I feel compelled to jump in here. When we talk about "efficiency", the scientific meaning is work done per unit of time. In a car, it's measured in MPG. Similarly, in a boat, it's measured in nMPG. GPH, by itself, is a meaningless number when looking at efficiency.
A point of maximum efficiency would be some sort of local maximum on the nMPG curve. It would be a point where going either faster or slower yields worse nMPG. Such a point doesn't exist for a displacement boat.
When one talks about an "efficiency sweet spot", I start looking for a point where there is some maximum nMPG value, but for a boat that exists only at the boat's slowest speed. For every increase in speed, the nMPG number drops. For a displacement boat, it never even levels off. It's just all down hill the faster you go.
But there is also a subjective definition for a "sweet spot" which would be the point where the operator is happiest with the tradeoff between speed and nMPG. Going slower will always yield better nMPG, but most of us want to eventually get where we are going. Going faster will always yield worse nMPG, but we are willing to accept some degree of that in the interest of time. We all have that spot where we are operating at a happy tradeoff between nMPG and speed. Calling that a "sweet spot" is as good a term as any, but technically speaking, it's not a point of maximum efficiency. Not even close.
Maybe I did throw around words like "efficiency" and "sweet spot" loosely.
Still, if you go 3.1 knots against that hypothetical 3 knot current, you're making .1 knots of headway. You're burning fuel for one hour to go just over 600 feet.
Bump it up to 4 knots. That's one knot over ground. Now it takes you 6 minutes (1/10 of an hour) to go that same 600 feet.
There's no way running the engine for an hour at 3.1 knots burns less fuel than running it for 6 minutes at 4 knots.
Hence the made-up and un-scientific concept of a "sweet spot".