Oscillating pressure-driven slip flow and heat transfer through an elliptical microchannel

© 2019, The Author(s). This paper studies the transient slip flow and heat transfer of a fluid driven by the oscillatory pressure gradient in a microchannel of elliptic cross section. 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. These solutions include some existing known examples as special cases. The effects of the slip length and the ratio of minor to major axis of the elliptic cross section on the velocity and temperature distribution in the microchannel are investigated

Cellular Automaton Methods for Heat and Mass Transfer Intensification

In this chapter, we will return to the local scale and present a fundamental approach for shape optimization. This numerical approach is based on the so-called cellular automaton (CA) algorithm, capable of treating a class of optimization problems that we encounter in heat and mass transfer. Two examples will be illustrated to demonstrate the procedure of CA approach: (1) how to organize a finite quantity of high conductivity material in order to efficiently drain heat from a heat generating surface to a sink and (2) how to optimize the shape of fluid path with a finite void volume that connects a source to one or several outlet ports, with the purpose of flow equidistribution and pressure drop minimization. The shape optimization by CA procedure generally leads to the creation of multi-scale arborescent geometries that commonly exist in nature, with consequently intensified heat and mass transfer