chem98:
Your query is too general to answer with specifics. What type of pump do you mean within the grouping of "vertical centrifugal pumps"?
1) Verical deepwell, with extended shaft?
2) Vertical, inline centrifugal pump?
3) Vertical, submersible pump & motor?
4) Vertical, multi-stage & turbine pump?
What do you mean by the TDH required? The TDH is produced, not "required". The NPSHr is "required". Is that what you mean? Or do you mean that you want to know the TDH (Total Developed Head) limits of a vertical type pump?
Capacity can be anything you specify within reason. Look it up in any convenient pump catalog - like Goulds' GPM catalog. If you have reservations about the quality of the fluid you want to pump, discuss this with your pump supplier and/or look in the pump catalog. I've pumped water, LNG, crude oil, diatomaceous earth slurry, and a variety of other fluids with vertical pumps - so I can tell you the variety is large.
Please be more specific in the actual operation. If the query is based on fiction or is academic, state this so respondents can understand that there is no actual application. The quality of the response can only be as good as the quality of the basic data.
Art Montemayor
Spring, TX