What the fittings cost
An elbow is barely 150 mm of pipe, and it can cost more head than twenty metres of straight run. The loss is not friction along a wall; it is the swirl and separation left behind when a stream is made to change direction. Two bookkeeping systems price it, and a working engineer converts between them without thinking.
By K factor: — h-L equals K, v squared over two g. is the head the fitting takes, in metres; is the velocity through it in m/s; is 9.81 m/s²; and is the resistance coefficient, a bare number from a table. Read it as plain English: K is how many velocity heads this fitting eats. A gate valve wide open is 0.2 of one. A standard 90° elbow is about 0.9 — near enough one whole velocity head, per elbow. A globe valve is 10, which is why nobody balances a system with one.
Fittings in series share the same velocity, so their K factors simply add: total up first, apply the velocity head once. Adding never averages.
By equivalent length: , where is the metres of straight pipe that would lose exactly as much, is the bore and the pipe's friction factor. The conversion falls out in one line — set equal to , and the velocity head cancels off both sides. Note what survives: an equivalent length is meaningless without the bore and the f it was quoted for. The same globe valve is worth 50 m in DN100 and 25 m in DN50.
The name is a historical insult that stuck. On a short branch stiff with fittings, the minor losses routinely beat the major ones — and a pump sized on straight pipe alone will arrive, get installed, and quietly under-deliver.