I looked for existing electrolyzer information, instead of trying to re-invent the wheel. Its easy to find out on your own when experimenting, but time consuming.
I was interested in the possibility of generating H2 to use like natural gas, as a remote location substitute for propane. I haven't built one, but here's the info I collected:
H2 is from negative cathode, oxygen is from positive Anode,
twice the H2 volume is produced compared to volume of O2
http://oupower.com/phpBB2/viewtopic.php?t=1398
One Amp for 4 sq inches of plate, any more and there is an exponential increase in electroplating/erosion, 1 amp for 6-8 sq in is better for long plate life, but if quality stainless steel is available (instead of low-quality Chinese stainless), the higher amps will produce more HHO.
1.8-2.0 Volts per cell, any more and there is excessive heat and water vapor production... From my experiment, even 1.7V per cell, can hardly see bubbles flow out from cell. 1.8V and above the cell produces fair a mount of bubbles.
For electrolyte, use KOH 28% mix with distilled water 72%. Use variac and slowly increase the voltage from 0V to 14V while monitoring voltage & amp. Once the amp reaches 9A, check voltage per cell it will be less than 2V. You may check best gas output by playing with voltage. (this is for using a car alternator flowing through 14 stacked plates to make it compact, 7pos 7neg, in plastic tub, plastic plate separators)
http://www.oupower.com/phpBB2/viewtopic.php?t=1541
Most automobile electrical systems actually run on 13.3 V. 7 cells in series will use 1.9 V per cell. As far as the gaps or plate spacing, 1/8" is recommended. I have found that with my test using different spacings, that the smaller the spacing the weaker the electrolyte has to be in order to control the cells amperage draw on the alternator. the larger the gap the stronger the electrolyte can be. The gas is formed on the plates surface, and I found that the larger gap between cells has little to no noticeable difference in output to the same cell with smaller spacing. But the larger spacing has advantages of easier refill.
In this type of cell, the O2 and H2 are allowed to mix making hydroxy gas (HHO). If you use a membrane taken from the inside of an old lead acid battery (between the plates), you can keep the cell plate gas outputs separate, and divert the two gasses to separate columns. The membrane allows electrical flow, but doesnt allow gas to mix.
It is cheap to buy carbon arc welding rods. These work very well to produce hydrogen and they do not melt away on you. I bought a pair of 12" x 3/8" rods for $1.50 at a welding supply store (this is one option instead of plates for a simple two column electrolyzer)
I thought I could also use the oxygen with propane in a MAPP gas torch. It will cut steel, obviously not anywhere near as fast as oxy-acetylene, but if the O2 is free and the propane is cheap...
I never made one, this could be BS...I doubt homeowners insurance will cover H2 explosions, and burns to face.