Suction head is head pressure - vapor pressure yes?
Um, No. Pump suction head = pressure at the liquid surface (atmospheric pressure) + static liquid head at pump inlet - dynamic head losses to the pump inlet.
There is just one
fatal flaw of your "logic". For both cases the head generated by the pump is y'. For the case where the pump is above the sump water level, there indeed is work being done "lifting" the water to the inlet
but it is exactly offset by the reduction in work the pump does on the outlet side to get the water to the tank level since it already "lifted" it part of the way on the inlet side.
Let's look at two cases pumping X gpm where the dynamic head losses (inlet + outlet) of the pump are the same between the cases. The sump water level is at the reference level (value 0) and the tank water level is 10 ft. above the sump water level. Both the sump and tank are exposed to atmospheric pressure.
Case 1 - The pump inlet is
below the sump water line by 2ft.
The static head at the inlet is therefore +2ft. and the outlet is +12ft. Therefore the static portion of the head generated by the pump is 10ft. [12 - 2].
Case 2 - The pump is 2ft
above the sump water line.
The static head at the inlet is -2ft. and the outlet is +8ft. Therefore the static portion of the head generated by the pump is exactly the same 10 ft. [8 - (-2)].
Since the dynamic head loses, change in static head and flow rates are the same for the two cases, the pump is performing the exact same amount of work.
Let's look at the same problem based on the potential energy of the water. The water changed energy equivalent to raising it 10ft. for both cases. If the pump required more work to change the water potential energy by the same amount, where did this imaginary extra work go if both systems have the same dynamic head losses?
Indeed the exact same pump will work. The laws of physics don't change just because the pump is located above the sump water level.
However, there will be a difference if the pump that is placed above the water level requires a foot valve verses a pump that is placed below the water level that does not. Then there is difference in dynamic head because of the extra pressure drop of the foot valve, not simply because the pump is above the sump water level.
I was just curious of someone's "logic" that breaks every law that deals with the conservation energy.
Another consideration is we are not dealing with water. We are dealing with salt water (sea water) with a high concentration of dissolved solids and entrained gases.
This was already addressed.
The vapor pressure of the water will not noticeably change even if 100% saturated with O2, C02, N2 etc. and their effects can be ignored when determining the vapor pressure of salt water. If it had any significant effect on the vapor pressure there would be curves of vapor pressure vs. amount of dissolved gases in water for river/lake/sea water. The salt will only very slightly decrease the vapor pressure [increase NPSH(a)] from pure water and again can be ignored.
The vapor pressure of salt water is higher (lower boiling temperature.)
Wrong again. The vapor pressure of salt water is slightly lower which has a slightly higher boiling point than pure water.
As a lead process (chemical) engineer that designs (parts of) multi-billion dollar refineries and petrochemical plants I only need to use my brain for these relatively simple concepts and have plenty of practical applications using very large industrial pumps (~50hp).