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This introduction to mathematical models of viscous flow used in the rapidly developing fields of microfluidics and microscale heat transfer includes unique material on electrokinetic phenomena and interaction of fluid interfaces with structured surfaces.

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Interfacial Fluid Mechanics: A Mathematical Modeling Approach provides an introduction to mathematical models of viscous flow used in rapidly developing fields of microfluidics and microscale heat transfer. The basic physical effects are first introduced in the context of simple configurations and their relative importance in typical microscale applications is discussed. Then, several configurations of importance to microfluidics, most notably thin films/droplets on substrates and confined bubbles, are discussed in detail. Topics from current research on electrokinetic phenomena, liquid flow near structured solid surfaces,evaporation/condensation, and surfactant phenomena are discussed in the later chapters.

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Basic Phenomena and Applications to Thin Films.- Coating flows and contact line models.- Bubbles and film drainage.- Flows in the presence of electric charges and fields.- Flows near structured surfaces.- Phase change at interfaces.- Flows with surfactants.-Selected Definitions and Theorems from Thermodynamics.- MATLAB Codes.

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From the reviews:

"The main focus of the book is on the mathematical modeling of interfacial flows and on the detailed description of mathematical techniques and working numerical codes. The book comprises seven chapters, a couple of appendices, and a bibliography relevant to the material covered in the book. ... It is indeed a well written book which would help the graduate students to understand the modeling and mathematical techniques in the interfacial fluid mechanics." (V. D. Sharma, Zentralblatt MATH, Vol. 1242, 2012)

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Vladimir S. Ajaev, Southern Methodist University, ajaev@smu.edu

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