Static, it do not depend so much, except for geometric factors, which promote cooling outwards by a polarization.
Assuming there is a nonlinear traveling wave involved K=v/k or v/(2k) or v2/2w where v is velocity, k is wavenumber (1/length) and w is frequency
We may look at the equation in your paper also, where more terms are included.
We looked at the velocity dependance of submersion ratio and pipe diameter, and also how the heat is supplied at the circulation before cooling. There are many aspects.
Thanks dear Lena for your answer and your interesting of my question.
I thinks the desired correlation depend of heat transfer in vapor phase and in liquid phase. it's a complicate phenomenon because there are two phases and two compounds. they are some correlation inn this topic but it's not applied with ammonia-water mixing.