Incompressible Flow

Incompressible Flow

Author: Ronald L. Panton

Publisher: John Wiley & Sons

Published: 2013-08-05

Total Pages: 912

ISBN-13: 1118013433

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The most teachable book on incompressible flow— now fully revised, updated, and expanded Incompressible Flow, Fourth Edition is the updated and revised edition of Ronald Panton's classic text. It continues a respected tradition of providing the most comprehensive coverage of the subject in an exceptionally clear, unified, and carefully paced introduction to advanced concepts in fluid mechanics. Beginning with basic principles, this Fourth Edition patiently develops the math and physics leading to major theories. Throughout, the book provides a unified presentation of physics, mathematics, and engineering applications, liberally supplemented with helpful exercises and example problems. Revised to reflect students' ready access to mathematical computer programs that have advanced features and are easy to use, Incompressible Flow, Fourth Edition includes: Several more exact solutions of the Navier-Stokes equations Classic-style Fortran programs for the Hiemenz flow, the Psi-Omega method for entrance flow, and the laminar boundary layer program, all revised into MATLAB A new discussion of the global vorticity boundary restriction A revised vorticity dynamics chapter with new examples, including the ring line vortex and the Fraenkel-Norbury vortex solutions A discussion of the different behaviors that occur in subsonic and supersonic steady flows Additional emphasis on composite asymptotic expansions Incompressible Flow, Fourth Edition is the ideal coursebook for classes in fluid dynamics offered in mechanical, aerospace, and chemical engineering programs.


Micro and Nano Mechanical Testing of Materials and Devices

Micro and Nano Mechanical Testing of Materials and Devices

Author: Fuqian Yang

Publisher: Springer Science & Business Media

Published: 2009-02-28

Total Pages: 390

ISBN-13: 0387787011

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Nanoscale and nanostructured materials have exhibited different physical properties from the corresponding macroscopic coarse-grained materials due to the size confinement. As a result, there is a need for new techniques to probe the mechanical behavior of advanced materials on the small scales. Micro and Nano Mechanical Testing of Materials and Devices presents the latest advances in the techniques of mechanical testing on the micro- and nanoscales, which are necessary for characterizing the mechanical properties of low-dimensional materials and structures. Written by a group of internationally recognized authors, this book covers topics such as: Techniques for micro- and nano- mechanical characterization; Size effects in the indentation plasticity; Characterization of low-dimensional structure including nanobelts and nanotubes; Characterization of smart materials, including piezoelectric materials and shape memory alloys; Analysis and modeling of the deformation of carbon-nanotubes. Micro and Nano Mechanical Testing of Materials and Devices is a valuable resource for engineers and researchers working in the area of mechanical characterization of advanced materials.


Contact Problems for Soft, Biological and Bioinspired Materials

Contact Problems for Soft, Biological and Bioinspired Materials

Author: Feodor M. Borodich

Publisher: Springer Nature

Published: 2022-04-22

Total Pages: 299

ISBN-13: 3030851753

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This book contains contributions from leading researchers in biomechanics, nanomechanics, tribology, contact mechanics, materials science and applications on various experimental techniques including atomic force microscopy (AFM) for studying soft, biomimetic and biological materials and objects. Biologists, physicists, researchers applying methods of contact mechanics and researchers testing materials using indentation techniques along with many other applied scientists will find this book a useful addition to their libraries. Moreover, several reviews in this book are written as introductions to several important and rather sophisticated research areas such as depth-sensing indentation, studying of biological cells by AFM probes, mechanics of adhesive contact and contact between viscoelastic (hereditary elastic) solids. The book containing new theoretical models, results of experimental studies and numerical simulations, along with reviews of above mentioned areas of contact mechanics in application to biological systems, would be beneficial for researchers in many areas of biology, medicine, engineering, mechanics and biomimetics.


Numerical Methods for Mixed Finite Element Problems

Numerical Methods for Mixed Finite Element Problems

Author: Jean Deteix

Publisher: Springer Nature

Published: 2022-09-24

Total Pages: 119

ISBN-13: 3031126165

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This book focuses on iterative solvers and preconditioners for mixed finite element methods. It provides an overview of some of the state-of-the-art solvers for discrete systems with constraints such as those which arise from mixed formulations. Starting by recalling the basic theory of mixed finite element methods, the book goes on to discuss the augmented Lagrangian method and gives a summary of the standard iterative methods, describing their usage for mixed methods. Here, preconditioners are built from an approximate factorisation of the mixed system. A first set of applications is considered for incompressible elasticity problems and flow problems, including non-linear models. An account of the mixed formulation for Dirichlet’s boundary conditions is then given before turning to contact problems, where contact between incompressible bodies leads to problems with two constraints. This book is aimed at graduate students and researchers in the field of numerical methods and scientific computing.