In this paper, we propose a simple model for describing an axis-symmetric thermal convection in a micro channel caused by a photothermal effect, namely, a temperature increase of the fluid due to a laser irradiation. The model consists of two planer solid parts (a microchannel), a thin planer fluid film between the solids, and a focused laser irradiated perpendicularly to the fluid film as a heat source; this is a typical geometrical setting found in various optical trapping experiments. The model describes the flow field and the solid and liquid temperatures. Assuming that the nonlinear convection terms are negligible due to the microscale confinement, the present fluid model is analyzed by two methods: one is a semi-analytical approach and the other is the direct numerical simulation. The validity of the both methods are shown by comparing the results of them, and a typical example of laser-induced thermal convection is presented. The semi-analytical approach is instant and therefore useful even for researchers without the background of fluid mechanics and can be used for systematic prediction of the photothermal fluid phenomena.
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