S. J. Kline

Similitude and Approximation Theory

• Broschiertes Buch

Produktbeschreibung

There are a number of reasons for producing this edition of Simili tude and Approximation Theory. The methodologies developed remain important in many areas of technical work. No other equivalent work has appeared in the two decades since the publication of the first edition. The materials still provide an important increase in understanding for first-year graduate students in engineering and for workers in research and development at an equivalent level. In addition, consulting experiences in a number of industries indi cate that many technical workers in research and development lack knowledge of the methodologies given in this work. This lack makes the work of planning and controlling computations and experiments less efficient in many cases. It also implies that the coordinated grasp of the phenomena (which is so critical to effective research and develop ment work) will be less than it might be. The materials covered in this work focus on the relationship between mathematical models and the physical reality such models are intended v vi Preface to the Springer Edition to portray. Understanding these relationships remains a key factor in simplifying and generalizing correlations, predictions, test programs, and computations. Moreover, as many teachers of engineering know, this kind of understanding is typically harder for students to develop than an understanding of either the mathematics or the physics alone.

Produktdetails

• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-642-64894-6
• Softcover reprint of the original 1st ed. 1986
• Seitenzahl: 252
• Erscheinungstermin: 1. Oktober 2011
• Englisch
• Abmessung: 235mm x 155mm x 14mm
• Gewicht: 387g
• ISBN-13: 9783642648946
• ISBN-10: 3642648940
• Artikelnr.: 36114343

Inhaltsangabe

Charter 1 Introduction.- 2 Dimensional Analysis and the Pi Theorem Units and Dimensions.- 2-1 Units and Dimensions.- 2-2 Types of Quantities Appearing in Physical Equations.- 2-3 Dimensional Homogeneity of Physical Equations.- 2-4 Statement and Use of the Pi Theorem.- 2-5 Rationale of the Pi Theorem.- 2-6 Huntley's Addition.- 2-7 Examples of Application of Dimensional Analysis.- 2-8 Summary.- 3 Method of Similitude and Introduction to Fractional Analysis of Overall Equations.- 3-1 Introduction.- 3-2 Method of Similitude.- 4 Fractional Analysis of Governing Equations and Conditions.- 4-1 Introduction.- 4-2 Normalization of the Governing Equations.- 4-3 Conditions Required for Rigorous Solution of the Canonical Problem of Similitude and Dimensional Analysis Using Normalized Governing Equations.- 4-4 Basis of Improved Correlations.- 4-5 Relations among Elementary Processes.- 4-6 Approximation Theory.- 4-7 Some Problems Involving Uniform Behavior.- 4-8 Nonuniform Behavior-Boundary Layer Methods.- 4-9 Nonuniform Behavior-Expansion Methods and Uniformization.- 4-10 Processes Involving Transformations of Variables.- 4-11 Summary and Conclusions.- 5 Summary and Comparison of Methods.- 5-1 Introduction.- 5-2 Summary of Methods.- 5-3 Comparison of Methods.- 5-4 Concluding Remarks.- References.