Flow slip on a solid surface

Abstract

The flow slip problem has a long history in the regime of fluid mechanics. Various types of slip model had been formulated and utilized as boundary conditions for Navier-Stoke equation. The goal of this research is to investigate the flow slip phenomena on solid surfaces in a new direction and to establish a model that quantifies this phenomenon. From a different perspective and in order to be general in the formulation, this problem is translated into a chemical process at the interface of two different mediums. This model utilizes the framework of multiscale modeling for complex chemical system and based on the understanding of chemical interactions between molecules, the flow slip mechanism is believed to be associated with the breaking of chemical bonding between molecules at the interface. This model suggests that the slip velocity is function of the strength of interaction between particles at the interface (interaction energy) which in turn is dependent on the particles type and inter-particle distance. For simplicity, gas-solid interaction is considered in the modeling. However, the idea of this model can be extended to any medium pairs. This slip model is then validated with experimental observation of fluid slip in microchannel conducted by Arkilic et al. and Ulmanella et al. In this report, Chapter 2-6 covers the literature review of this project. The formulation of the new slip model is presented in Chapter 7. Results and discussion is in the following chapter. And lastly, it is followed by a conclusion in Chapter 9.