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No didn't fail physics in high school or in engineering school, or in 35 years as an engineer that learned to be be a specialist in pump applications and design. Your statement does not consider all the factors in fluid flow.
I TOTALLY AGREE WITH YOUR PREMISE....the volume and pressure relationship is fundamental. Wether a high volume pump or standard volume pump is required, needed or just wanted, is a matter of personal choice, intended application and the applications requirement.
One of the biggest determination of which pump is required or "best" is the engine's bearing clearances of both the main and rod bearings, followed by the valve lifter bores, and the cam bearings, and lube oil hot viscosity. The greater the bearing clearances, the greater the VOLUME of oil the pump must deliver to maintain a given pressure. The converse applies: the tighter or smaller the bearing clearances, the lower volume of oil will be required at a given pressure, or the pressure increases to the relief valve setting. IF, the bearing clearances are excessive, the higher the volume will be required but the pump cannot deliver the required pressure, the delivered pressure will be lower, assuming all other variables remain the same.
Personal information: my RS23V0A****** GTX, 440 six barrel engine has a high VOLUME Melling pump. My main bearings have 0.002"/0.0025" clearance and are full groove, Clevite tri metal type...steel backed copper tin overlay Babbitt. Rod bearings are the same at 002"/0.0025" thrust bearing per FSM. Full groove mains require more oil volume because the rod bearings receive oil for 360° of crankshaft rotation. Cam and lifter clearance per FSM. Oil is 10W-30 Mobil 1. Oil pressure cold is 80 psi at 2000 RPM; oil pressure hot is: idle 55/60 psi and 75 psi at 3000 RPM. I run the windage tray in the pan and one (1) additional quart. Is this combination "right" or correct? It works for me....is it correct for everyone....probably not....but.....to each his own preferences. Just my opinion of course...
BOB RENTON