Dimensional analysis for engineers. (2017)

• Record Type: Book
• Further Information: Note: Volker Simon, Bernhard Weigand, Hassan Gomaa.
• Authors: Simon, Volker; Weigand, Bernhard, 1962-; Gomaa, Hassan
• Contents: Preface; Contents; Symbols; 1 Some Fundamentals of Dimensional Analysis; 1.1 Some Preliminary Remarks; 1.2 Terms and Definitions; 1.2.1 Physical Quantities; 1.2.2 Entities, Base Quantities, Derived Quantities and Quantity System; 1.2.3 Dimension, Dimensional Formula and Bridgman Equation; 1.2.4 Units, Unit System and Unit of Measurement; 1.2.5 Change of the Unit System; 1.2.6 Physical Equations and Dimensional Constants; 1.3 Buckingham-Theorem (Pi-Theorem); 1.4 Choice of the Base System; 1.4.1 The [LMFT]-System; 1.4.2 The [LMT\varTheta]-System; 2 Model Theory; 2.1 General Model Theory. 2.2 Complete Similarity2.3 Incomplete Similarity; 3 Illustrative Examples; 3.1 Examples from Mechanics; 3.1.1 Large Elastic Deformations; 3.1.2 Small Elastic Deformations; 3.1.3 Deformation of an Elastic Beam; 3.1.4 Critical Load and Buckling of a Beam; 3.1.5 Natural Frequency of an Elastic Rod; 3.2 Examples from Fluid Mechanics; 3.2.1 Surface Waves; 3.2.2 Ship Waves; 3.2.3 Chimney Flow; 3.2.4 Hydraulic Machines; 3.3 Examples from Thermodynamics; 3.3.1 Thermal Equation of State for Ideal Gases; 3.3.2 Strong Explosion; 3.3.3 Unsteady Heat Transfer; 3.4 Examples from Nature. 3.4.1 The Dynamics of Planetary Rings3.4.2 The Flight Velocity of Birds; 3.4.3 The Run-off from a Watershed; 3.5 Examples from Classical Electrodynamics; 3.5.1 The Governing Equations; 3.5.2 Electrodynamic Quantities in the SI-Unit-System; 3.5.3 Implication of the SI-Unit-System; 3.5.4 Electrical Circuits; 4 Similarity Solutions; 4.1 Transient Temperature Distribution in a Semi-infinite Body; 4.2 Flow Along a Stretched Sheet; 4.3 Natural Convection Along a Vertical Plate; 4.4 Natural Convection Along a Horizontal Cylinder; 4.5 Laminar Free Jet; 4.6 Laminar Buoyant Jet. Appendix A: Selected ProblemsAppendix B: Solutions to the Problems; References; Index.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2017
• Extent: 1 online resource
• Subjects: 530.8; Engineering; Dimensional analysis; Engineering mathematics; SCIENCE -- Energy; SCIENCE -- Mechanics -- General; SCIENCE -- Physics -- General; Dimensional analysis; Engineering mathematics; Engineering; Mechanical Engineering; Computational Science and Engineering; Mathematical Methods in Physics; Engineering Thermodynamics, Heat and Mass Transfer; Engineering Fluid Dynamics; Computers -- Computer Science; Science -- Mathematical Physics; Science -- Mechanics -- Dynamics -- Thermodynamics; Technology & Engineering -- Mechanical; Maths for scientists; Mathematical physics; Engineering thermodynamics; Mechanics of fluids; Mechanical engineering; Computer science; Mathematical physics; Hydraulic engineering; Mechanical engineering; Electronic books
• Languages: English
• ISBNs: 9783319520285; 3319520288
• Related ISBNs: 9783319520261; 3319520261
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed February 16, 2017).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.