Applied Continuum Mechanics for Thermo-Fluids

Applied Continuum Mechanics for Thermo-Fluids presents the tensor notation rules and integral theorems before defining the preliminary concepts and applications of continuum mechanics. It bridges the gap between physical concepts and mathematical expressions with a rigorous mathematical treatment. After discussing fundamental concepts of continuum mechanics, the text explains basic subjects such as the Stokes hypothesis, the second coefficient of viscosity, non-Newtonian fluids, non-symmetric stress tensor, and the full Navier-Stokes equation. 

With coverage of interdisciplinary topics, the book highlights issues such as relativistic fluid mechanics, stochastic mechanics, fractional calculus, nanoscale fluid mechanics, polar fluids, electrodynamics, and traffic flows. It describes fundamental concepts of vorticity dynamics, including the definition of vorticity and circulation, with corresponding balance equations and related theorems.

This text is intended for upper-level undergraduate and postgraduate mechanical, chemical, aerospace, civil engineering, and physics students taking continuum mechanics, advanced fluid mechanics, convective heat transfer, turbulence, or any other similar courses. In addition, this book can be an excellent resourec for scientists who want to trigger research on topics related to thermo-fluids.

Instructors will be able to utilize a Solutions Manual and Figure Slides for their course. 

?This is one of the few textbooks on continuum mechanics with a primary focus on thermal sciences. It has a brief but complete review of the preliminary concepts in Chapters 1 and 2, followed by the mathematical description of conservation laws of Newtonian and non-Newtonian fluids in Chapters 3 and 4. I especially recommend chapter 6 on complementary topics that covers various aspects of fluid dynamics including porous media, multiphase flows, and some relatively non-conventional new approaches, such as fractional and stochastic mechanics. This textbook is recommended for researchers and graduate students in thermal science and for instructors of graduate courses in advanced fluid mechanics, convective heat and mass transfer, and multiphase flows.? -- Bamdad Lessani, University of North Carolina at Charlotte