Here are a couple of diagrams and schematics giving a general outline of the experimental apparatus. None of the devices described in the diagrams have been built yet, as I am still looking for the materials necessary for their construction.
This first image is a circuit diagram for discharge circuit (click for larger resolution):
As you can see, the design is relatively straight-forward; it's just a basic circuit for capacitor charging and discharging. With the switch S open, the capacitor bank is charged to the input voltage (which depends on R1 and R2; I plan to set the voltage divider ratio at around 3/4, giving an output of 12 kV with a 16 kV source). In actuality, there will probably be a balancing resistor placed across each capacitor to avoid dangerous fluctuations in the capacitor voltages due to leakage currents. The value of each capacitor should be about 0.18 uF, which makes the total capacitance of the bank about 0.55 uF. After charging, the voltage source is removed and the switch S is closed, initiating the capacitor discharge. No resistors or inductors will be placed in the actual discharge circuit; the lumped values Rc and L represent the distributed circuit resistance and inductance, respectively. Essentially, closing the switch S shorts the circuit, so as to maximize the discharge current.
The next several diagrams are devoted to outlining what exactly is going to be placed in the ambiguous "water arc chamber" box. There will likely be three different accelerator designs used during this project. The first will be used to measure the kinetic energy of the water explosions, and is modeled after P. Graneau's accelerator designs.
(All the following diagrams are cross-sectional; the actual accelerators will be cylindrical.)
If it is found that a significant amount of energy is released during the explosion process, a new chamber will be built to capture the kinetic energy of the fog and convert it to a more useful form (say, electricity). The following is a diagram of one possible such chamber.
I am skeptical of the efficiency of such a design. Water arc explosions have only ever been achieved with very small amounts of water (about 3.4 mL), which are accelerated to very high velocities (in the range of 1000 m/s). I anticipate that a turbogenerator will not be able to handle such a small mass moving at such a high velocity very effectively.
An alternative may lie in MHD technologies, however. Below is a diagram of a possible MHD generator chamber design.