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000779535 020__ $$a9783319520285$$q(electronic book)
000779535 020__ $$a3319520288$$q(electronic book)
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000779535 0247_ $$a10.1007/978-3-319-52028-5$$2doi
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000779535 050_4 $$aTA347.D5
000779535 08204 $$a530.8$$223
000779535 1001_ $$aSimon, Volker,$$eauthor.
000779535 24510 $$aDimensional analysis for engineers /$$cVolker Simon, Bernhard Weigand, Hassan Gomaa.
000779535 264_1 $$aCham, Switzerland :$$bSpringer,$$c2017.
000779535 300__ $$a1 online resource.
000779535 336__ $$atext$$btxt$$2rdacontent
000779535 337__ $$acomputer$$bc$$2rdamedia
000779535 338__ $$aonline resource$$bcr$$2rdacarrier
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000779535 4901_ $$aMathematical engineering
000779535 504__ $$aIncludes bibliographical references and index.
000779535 5050_ $$aPreface; Contents; Symbols; 1 Some Fundamentals of Dimensional Analysis; 1.1 Some Preliminary Remarks; 1.2 Terms and Definitions; 1.2.1 Physical Quantities; 1.2.2 Entities, Base Quantities, Derived Quantities and Quantity System; 1.2.3 Dimension, Dimensional Formula and Bridgman Equation; 1.2.4 Units, Unit System and Unit of Measurement; 1.2.5 Change of the Unit System; 1.2.6 Physical Equations and Dimensional Constants; 1.3 Buckingham-Theorem (Pi-Theorem); 1.4 Choice of the Base System; 1.4.1 The [LMFT]-System; 1.4.2 The [LMT\varTheta]-System; 2 Model Theory; 2.1 General Model Theory
000779535 5058_ $$a2.2 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
000779535 5058_ $$a3.4.1 The Dynamics of Planetary Rings3.4.2 The Flight Velocity of Birds; 3.4.3 The Run-off from a Watershed; 3.5 Examples from Classical Electrodynamics; 3.5.1 The Governing Equations; 3.5.2 Electrodynamic Quantities in the SI-Unit-System; 3.5.3 Implication of the SI-Unit-System; 3.5.4 Electrical Circuits; 4 Similarity Solutions; 4.1 Transient Temperature Distribution in a Semi-infinite Body; 4.2 Flow Along a Stretched Sheet; 4.3 Natural Convection Along a Vertical Plate; 4.4 Natural Convection Along a Horizontal Cylinder; 4.5 Laminar Free Jet; 4.6 Laminar Buoyant Jet
000779535 5058_ $$aAppendix A: Selected ProblemsAppendix B: Solutions to the Problems; References; Index
000779535 506__ $$aAccess limited to authorized users.
000779535 520__ $$aThis monograph provides the fundamentals of dimensional analysis and illustrates the method by numerous examples for a wide spectrum of applications in engineering. The book covers thoroughly the fundamental definitions and the Buckingham theorem, as well as the choice of the system of basic units. The authors also include a presentation of model theory and similarity solutions. The target audience primarily comprises researchers and practitioners but the book may also be suitable as a textbook at university level.
000779535 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed February 16, 2017).
000779535 650_0 $$aDimensional analysis.
000779535 650_0 $$aEngineering mathematics.
000779535 7001_ $$aWeigand, Bernhard,$$d1962-$$eauthor.
000779535 7001_ $$aGomaa, Hassan,$$eauthor.
000779535 77608 $$iPrint version:$$z3319520261$$z9783319520261$$w(OCoLC)965340772
000779535 830_0 $$aMathematical engineering.
000779535 852__ $$bebk
000779535 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-52028-5$$zOnline Access$$91397441.1
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