There is an online calculator for the speed of sound in water... it
varies by temperature and purity
http://www.npl.co.uk/acoustics/techguides/soundpurewater/
... in fresh water, sound travels at about 1497 m/s at 25 °C. This is
surprisingly only slightly less than in salt water.
If one wished to irradiate a volume of salt water with both ultrasound
and microwaves (Kanzius technique), to determine if there was a synergy
there in combining the two wave types, which compound system might make
it economical for splitting water, then it might be prudent to choose a
container or reactor in which standing waves of each type could be
maintained.
The idea would be that sonoluminescence is special, and ultrasound
creates the cavitation bubbles, so that with this type of underlying
input, secondary microwave irradiation might be more effective.
BTW - the Kanzius technique is said to be only ~40% efficient in
comparing electrical P-in to the heating value of the hydrogen produced,
which is less than normal electrolysis can deliver. This is from an
informed source (no citation yet).
If a commercial oven magnetron is employed for the microwaves, it would
operate at 2.45 gHz and have a wavelength of about 12.24 cm. For the
ultrasound, the situation depends on the frequency chosen. Many
researchers have debunked the old Keely claim for something special
about a frequency of 42,800 Hz. Nevertheless, this figure keeps
reappearing in print, and piezo transducers are available for it, so we
can use that for a start. Using 1,500 m/s as sound-speed in salt water,
this gives about 3.5 cm, less than a third but within a range so there
is a fair chance of getting good harmonic overlap in many available
stainless steel vessels.
A third potential overlapping input to try out... if any success is
seen, to push the envelop even further- might be a small DC bias
(fractional volt). A fourth might be a magnetic field. The
Mills-believer might want to add some potash. etc. etc.
BTW and speaking of wavy-waves, "Energetics Technologies Ltd." from
Israel has reported some of the best energy gains in LENR anywhere.
Energetics uses a technique based on the "superwave" concept, proposed
by a controversial MD named Dardik. A superwave consists of waves within
waves "fractally nested" in a non-linear manner.
... sorta like a segue to SuperRadiance, Pt ll ...
Jones