Micro flows. Fundamentals and simulation. (English) Zbl 0998.76002

Karniadakis, George Em; Beskok, Ali

New York, NY: Springer. xvi, 340 p. (2002).

This book contains ten chapters along with bibliography given at the end.
In the first chapter entitled “Basic concepts and technologies”, the authors introduce some micro-electro-mechanical systems (MEMs). Giving emphasis on gas micro-flows, fluid surface interactions for liquids are also discussed, and the concept of macro-modeling is introduced. The second chapter deals with basic equations together with their non-dimensionalization for low- and high-speed flows. Navier-Stokes equations for compressible fluid are considered, and general boundary conditions for velocity slip are formulated. The third chapter deals with shear-driven channel flows with the objective of modeling shear-driven flows encountered in MEMs applications.
In chapter four, the authors investigate pressure-driven gas micro-flow. Accuracy of one-dimensional Fanno theory for micro-channel flows is also examined. In chapter five, no-slip and slip-based descriptions of flow rates in channels and pipes are corrected for effects in transition and free-molecular regimes. Chapter six deals with heat transfer in gas micro-flows. Here the authors consider combined effects of thermal creep, heat conduction and convection in pressure- and shear-driven channel flows. Prototype applications of gas micro-flows are discussed in chapter seven. High-speed rarefied flows in micro-nozzles, used for controlling motion of micro-satellites and nano-satellites, are considered. In chapter eight, the authors present a review of micro-flow control elements. They discuss governing equations for electro-osmotic flows, and derive new velocity interface and slip boundary conditions. Two final chapters deal, respectively, with numerical methods for continuum simulation and atomistic simulation.
It is a well-written book which should prove beneficial to the researchers in the field.

Reviewer: Y.N.Gaur (Jaipur)

MSC:

76-02	Research exposition (monographs, survey articles) pertaining to fluid mechanics
76N15	Gas dynamics (general theory)
76Mxx	Basic methods in fluid mechanics

Keywords:

pressure-driven micro-flows; high-speed rarefied flows; micro-electro-mechanical systems; gas micro-flows; macro-modeling; Navier-Stokes equations; compressible fluid; shear-driven channel flows; one-dimensional Fanno theory; heat transfer; thermal creep; convection; micro-nozzles; control elements; electro-osmotic flows; boundary conditions; continuum simulation; atomistic simulation