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This book is one of the first devoted to an account of theories of thermal convection which involve local thermal non-equilibrium effects, including a concentration on microfluidic effects. The text introduces convection with local thermal non-equilibrium effects in extraordinary detail, making it easy for readers newer to the subject area to understand. This book is unique in the fact that it addresses a large number of convection theories and provides many new results which are not available elsewhere. This book will be useful to researchers from engineering, fluid mechanics, and applied mathematics, particularly those interested in microfluidics and porous media.

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Introduction.- Thermal Convection with LTNE.- Rotating Convection with LTNE.- Double Diffusive Convection with LTNE.- Vertical Porous Convection with LTNE.- Penetrative Convection.- LTNE and Multi-layers.- Other Convection/Microfluidic Scenarios.- Convection with Slip Boundary Conditions.- Convection in a Porous Layer with Solid Partitions.- Convection with Produting Baffles.- Anisotropic Inertia Effect.- Bidispersive Porous Media.- Resonance in Thermal Convection.- Thermal Convection in Nanofluids.- References.

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"The material is accessible to researchers and graduate students of applied mathematics, physics and appropriate engineering disciplines." (H. Muthsam, Monatshefte für Mathematik, Vol. 183, 2017)

"Convection with local thermal non-equilibrium and microfluidic effects focuses on the topic of local thermal non-equilibrium (LTNE) ... . A meticulous and clear exposition of the mathematical results makes the book readable and suitable for both beginners and thermal convection experts. ... The book will stimulate the interest of scientists involved in this fascinating field of research." (Roberta De Luca, Mathematical Reviews, May, 2016)

"This book provides a comprehensive presentation of mathematical and physical theories of classical and modern areas of heat and fluid flow in porous media. The book is excellently written and readable. ... of great interest to a wide range of specialists working in the area of flows in porous media, such as graduate MSC and PhD students, design engineers, physicists, chemical engineers, and also to researchers interested in the mathematical theory of flows in porous media and connected topics." (Ioan Pop, zbMATH, Vo.1325.76005, 2016)

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Brian Straughan is a Professor in the Department of Mathematical Sciences at Durham University in Durham, UK.  He is a member of the Center for the Coevolution of Biology and Culture, and his research interests include: computational mathematics, partial differential equations, and stability.

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