How do I calculate head loss? I know the height of rhe pipes and number of fittings matter.
Google it! There are tons of "Betty Crocker" cookbooks out there on this exact subject. It is really easy to learn.
A very basic factor is that the relationship between flow rate and pipe diameter is that flow rate goes up with the square of the pipe diameter. So if you double the pipe diameter you can quadruple the flow rate you can put through it.
Head is pressure working against the pressure put out by the pump, so head pressure subtracts from pump pressure thus reducing the actual flow rate a pump can produce. Head pressure is the combination of all of the resistive pressures the pump must overcome to produce a given volumetric flow rate through you pipe system.
The major resistive pressures a pump must overcome are caused by:
1.
Static pressure. Note: Weight/Area = Pressure. The weight if water that must be pushed upwards by the pump. This pressure equals the water weight/cross-sectional area of the pipe.
2.
Pipe surfaces produce frictional forces that act against a pump that is trying to push water through a pipe. These frictional forces accrue over the total surface area of the pipe that the water touches. That is called the pipe's wetted area. It is determined by the diameter and the length of the pipe. Specifically the wetted area equals the pipe circumference x pipe length. The total frictional force equals a friction factor x the total wetted area. The friction factor is determined by the surface roughness of the pipe material you use.
3.
Dynamic pressure. Caused by flow form factors that have to do with changes in flow channel direction, size and shape due to various pipe fittings. An equation called Bernoulli's flow equation governs these resistive pressures. This is where the math departs from the trivial arithmetic above.
Fortunately, the "Betty Crocker" approaches provide sets of tables so you can look up the pressures produced by water weight and velocity, vertial height, pipe material and diameter, and Bernoulli's stuff for fittings instead of having to calculate any of it.
You'll find these tables when you Google for "head losses for flow in pipes."
Use the simplest tables you find. The not-so-simple ones are for complex piping systems. Aquarium piping systems are ALL simple, no matter how complicated we try to make them, even mine.
BTW,
1.
@AZDesertRat and
@saltyfilmfolks are spot on for roughly approximating your numbers.
AND
2. Bernoulli really covered #1 and #3.
3. A bunch of guys did the heavy lifting for #2, but Darcy, Weisbach and Moody are the big names.
4. No that is not a law firm.
Good luck, fab