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The research activity is currently centered on the following four major areas. Thus, to develop heat transfer models with such phase change phenomena, a better understanding on the elementary processes and inclusion of such processes into models are indispensable. In solidification, we focus on the stability of the contact line between a moving chilled surface and a melt meniscus to elucidate and suppress the formation of contact resistance in rapid solidification. If the oscillating fluid is a liquid, the enhanced diffusion effect is much stronger than the heat pumping effect, and heat transport devices such as the so-called dream pipe can be developed by using this phenomena. If the oscillating fluid is a gas, the heat pumping effect can overcome the enhanced diffusion effect.