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- When water is flowing in a pipe full of water, are the pressures at both ends equal? How do I compute the two pressures given the flow velocity, length and diameter of the pipe (no other variables given, I can make assumptions)?

- Given a pump that maintains a pressure difference of P, and a circular pipe that connects one end to the other: how fast is the water flowing? What is the pressure in the middle of the pipe? What is the pressure at the input end of the pump, is it negative? Suppose I take the same pump and hook it up to a heater. What is the pressure at the heater?

- Given the same pressure difference, does water in a longer or wider pipe flow faster/slower?

- What happens when the pipe is split into two via a splitter?

- What is a "vessel"? I know it's a container that fills up with water -- will water flow out even when its not full? If so how fast? If it's full it works like a pipe?

- Is 'flow' the speed of water moving in a pipe? If so how come I need two connections for a flow sensor but only one connection for a pressure sensor? I know in electrical engr potential difference requires two points and current only requires one.

- In a piping diagram there are gas pipes. Are these important? Can I calculate the flow, pressure and temperature of gas the same way as water (since they are compressible)? I presume pumps, vessels, etc made for water do not also work for gas.

Thanks in advance! Pls help if you can answer any of these questions. This is a very "ideal-world" simulator and ignores almost all variables other than pressure, flow and dimensions, so no friction or turbulence. Readings do not need to be correct, just believable.