Benchawan Wiwatanapataphee, Wannika Sawangtong, Nathnarong Khajohnsaksumeth, and Yong Hong Wu
This paper presents a mathematical model and its semi-analytical solution for the oscillating pressure-driven flow and heat transfer through an elliptic microchannel. The boundary value problem for the thermal-slip flow is formulated based on the assumption that the fluid flow is fully developed. The semi-analytical solutions of velocity and temperature fields are then determined by the Ritz method. The results show that the characteristics of the oscillating flow of fluid and heat transfer in microchannels depends on the slip length and the aspect ratio of the microchannel. This study may help in the optimization of certain bioengineering systems.