Isentropic efficency, This the how we generally calculate centrifugal pump work. You'll see the effiency curves from pump manufacturers and the major componet is this. They will sometimes have slip, mechanical and others thrown in somewhere. Values are 60% to 80%.
The volumetric effiency is used to describe the efficency of postive displacement pumps. PD pumps are almost 100% efficent, but because they have gaps between the piston and the cylinder walls (on the end and where the suction discharge valves are), they are rated in volumetric effenciency. This really means you put work into the liquid to raise the pressure, but the liquid cannot get out of the cylinder and the work is lost. Yes, you can get some temperature increase on the fluid as it is pumped, just like a gas because that lost work has to go somewhere. Volumetric effiency will be different for different fluids. Water will be 100% volumetric efficent times the pump rated volumetric efficency, whereas propane will be 95% times the pump rated VE, its a compressibility thing, its not a perfect fluid.