I’ve never had a vehicle (atleast not one with a working oil pressure gauge) that cruised in bypass once remotely close to operating temp.Ah yes ... the graph I posted in a one of those dead horse beating threads on PD oil pump operations, lol.
Whatever the HP and fuel mileage savings claim is due to running a thinner oil, it comes from a combination of both less oil shearing and less oil pump input power to pump the oil through the system. Yes, the claim of 3% to 6% increase in fuel mileage (wherever that came from) is obtained by going down from xW-30 to xW-20 is way too high.
Yes, the hydraulic HP required is small. The HP equation above is for a 100% efficient pump ... your favorite "pump slip" stuff, lol. You have to divide by the pump efficiency to be totally accurate. But healthy automotive PD pumps are in the 80-85% efficiency range, so it wouldn't make much difference here. So, (7.5 x 45)/(1714 x 0.85) = 0.232 HP.
"Even if the pan is only 10% efficient" ... you mean pump I assume.
If you assume the oil pump was not in relief (to make this example simpler), and the pressure at 2000 RPM went down from 45 PSI to say 40 PSI due to a decrease in oil viscosity, then the delta in required pump input HP would be as show below. If the pump is in relief, then you'd have to know the actual flow vs pressure curve of the pump as the RPM increases while in relief as shown in the Melling pump graph.
(Q x P)/(1714 x E) = Pump HP
(7.5 x 45)/(1714 x 0.85) = 0.232 HP
(7.5 x 40)/(1714 x 0.85) = 0.206 HP
So it's only saving 0.026 HP, which is a 11.2% decrease from 0.232 HP.
An average car cruising down the road at 60 MPH needs approx 23 rear wheel HP (26 crank HP). That includes the HP to over come aerodynamic and rolling resistance.
So the actual realized delta pump HP savings on the system by going with a thinner oil is 0.026/26 = 0.1%. In other words wrt to the pump HP in this example, going with a thinner oil only saved 0.1% of the HP at the crank to move the car at 60 MPH.
The other crank HP savings would come from the reduced oil shearing, which this example doesn't account for. So maybe add another few tenths of a percent for the total savings. It's still a very small savings. Yeah, it doesn't pass the sniff test, or the calculation test.
Given that we had a handy curve for a LS pump, I was envisioning my old GMT 800 half ton. It cruised 60 mph at probably 1700 rpm, 45 psi oil on 30wt hot, IIRC. But that 5300 pound truck wasn’t cruising at 23hp avg.
Pumping work for incompressible fluids is incredibly small.