Rectified heat transfer in bubble pulsations

The equations governing the behavior of a vapor bubble in a liquid under harmonic acoustic excitation are solved in a linear approximation. Finch and Neppiras (1) followed this procedure to find the dynamic response of a bubble. In this thesis, the temperature variation and the phase angle between radius and temperature oscillations are found. It is then shown, following the procedure of Wang (2), that there is a net heat transfer into a bubble over a complete pulsation cycle. The hypothesis is advanced that this heat inflow could serve to keep a bubble hotter than the surrounding liquid. In this way a bubble could be stabilized against collapse under surface tension. Numerical solutions are presented for liquid helium, nitrogen and water and shown to be consistent with experimental results.