Dimensional analysis and self-similarity methods for engineers and scientists [electronic resource] / Bahman Zohuri.
Zohuri, Bahman, author.
2015
TA347.D5
Available Online

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Title Dimensional analysis and self-similarity methods for engineers and scientists [electronic resource] / Bahman Zohuri.
Author Zohuri, Bahman, author.
ISBN 9783319134765 electronic book
3319134760 electronic book
9783319134758
DOI https://doi.org/10.1007/978-3-319-13476-5
Published Cham, Switzerland : Springer, [2015]
Language English
Description 1 online resource.
Item Number 10.1007/978-3-319-13476-5 doi
Call Number TA347.D5
Dewey Decimal Classification 530.8
Summary · 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Available in Other Form Print version: 9783319134758
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All Resources
Dimensional Analysis
Similitude Theory and Applications,- Dimensional Analysis and Intermediate Asymptotic
Similarity Methods for Nonlinear Problems
Similarity Methods and Dimensional Analysis in Engineering Dynamics.

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