Dimensional Analysis and Self-Similarity Methods for Engineers and Scientists

ISBN-13: 9783319386171 / Angielski / Miękka / 2016 / 372 str.

Bahman Zohuri

Opis

This ground-breaking reference provides an overview of key concepts in dimensional analysis, and then pushes well beyond traditional applications in fluid mechanics to demonstrate how powerful this tool can be in solving complex problems across many diverse fields. Of particular interest is the book's coverage of dimensional analysis and self-similarity methods in nuclear and energy engineering. Numerous practical examples of dimensional problems are presented throughout, allowing readers to link the book's theoretical explanations and step-by-step mathematical solutions to practical implementations.

Spis treści

Dimensional Analysis.- Similitude Theory and Applications,- Dimensional Analysis and Intermediate Asymptotic.- Similarity Methods for Nonlinear Problems.- Similarity Methods and Dimensional Analysis in Engineering Dynamics.- Simple Harmonic Motion Pendulum Problem.- Some Examples of Dimensional Analysis and Similitude.- Self-Similarity Chaos Game to Sierpinski Triangle.- Similarity Solutions Methods for Partial Differential Equations (PDEs).- Thermal Explosions.- Dimensionless Analysis of Heat Conduction or Diffusion Equation.- Definition of Some Common Quantities and Their Dimensions.- Some Common Liquids Information.

O autorze

Dr. Bahman Zohuri is founder of Galaxy Advanced Engineering, Inc. a consulting company that he formed upon leaving the semiconductor and defense industries after many years as a Senior Process Engineer for corporations including Westinghouse and Intel, and then as Senior Chief Scientist at Lockheed Missile and Aerospace Corporation. During his time with Westinghouse Electric Corporation, he performed thermal hydraulic analysis and natural circulation for Inherent Shutdown Heat Removal System (ISHRS) in the core of a Liquid Metal Fast Breeder Reactor (LMFBR). While at Lockheed, he was responsible for the study of vulnerability, survivability and component radiation and laser hardening for Defense Support Program (DSP), Boost Surveillance and Tracking Satellites (BSTS) and Space Surveillance and Tracking Satellites (SSTS). He also performed analysis of characteristics of laser beam and nuclear radiation interaction with materials, Transient Radiation Effects in Electronics (TREE), Electromagnetic Pulse (EMP), System Generated Electromagnetic Pulse (SGEMP), Single-Event Upset (SEU), Blast and, Thermo-mechanical, hardness assurance, maintenance, and device technology. His consultancy clients have included Sandia National Laboratories, and he holds patents in areas such as the design of diffusion furnaces, and Laser Activated Radioactive Decay. He is the author of several books on engineering and heat transfer.

Blurb

·         Provides innovative techniques for solving complex nonlinear partial differential equations, previously only available to scientists involved in classified government funded projects.

·         Goes beyond the traditional Pi (Buckingham) Theorem method to apply dimensional analysis to gas dynamics and thermal hydraulics problems where both laminar and turbulent fluids come into play

·         Includes specific examples demonstrating how dimensional analysis can shed light on applications from shock wave impact prediction to plasma confinement.

·         Presents a unique approach to similarity methods by discussing Chaos, Fractals and Arcadia, in addition to the more common Self-Similarity and Fractals Techniques

This ground-breaking reference provides an overview of key concepts in dimensional analysis and the scientific approach of similarity methods, including a uniquely robust discussion on self-similarity solutions of the First and Second kinds. The coverage pushes well beyond traditional applications in fluid mechanics and gas dynamics to demonstrate how powerful self-similarity can be in solving complex problems across many diverse fields, using nonlinear Partial Differential Equations (PDEs) by reducing them to Ordinary Differential Equations (ODEs) with a simple traditional analytical solution approach. Of particular interest is the book’s coverage of dimensional analysis and self-similarity methods in nuclear and energy engineering from Heat Transfer and Thermal Hydraulic points of view. Numerous practical examples of dimensional analysis problems are presented throughout each chapter, with additional problems presented in each appendix, allowing readers to link the book’s theoretical explanations and step-by-step mathematical solutions to practical implementations.