Abstract:

In this paper, the dynamic characteristics of the phase-change heat transfer in a micro channel were investigated. Then, by introducing the discontinuous pressure and the Lie symmetry among the molecules in the gasliquid-solid phase, a differential dynamic system describing the gas-liquid interface was proposed. Moreover, experiments were performed with a rectangular （0.6 mm × 2.0 mm） micro channel to obtain the pressure-time sequence. The power spectrum analyses of the sequence indicate that the heat transfer system exhibits chaotic movement at a frequency of more than 7. 39 Hz, thus revealing the relationship between the high-efficiency heat transfer properties of micro channel and the chaotic characteristics of the system. In addition, the phase graph of the singular attractor obtained via the simulation of the chaotic characteristics with the differential dynamic system accords well with the experimental results.

Key words: micro channel, phase-change heat transfer, dynamic characteristic, homoclinic orbit, Chaos, Lie symmetry