Rotating thermal flows in natural and industrial processes / Marcello Lappa

By:

Lappa, Marcello [aut]

Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Publisher: Chichester, West Sussex, United Kingdom : John Wiley & Sons, Ltd, 2012, ♭2012Edition: Online-AusgDescription: Online-Ressource (1 online resource (xviii, 522 p.)) : illISBN:

9781283645058
128364505X
9781118342404

Subject(s):

Additional physical formats: 9781119960799 | 1283644932 | Erscheint auch als: Rotating thermal flows in natural and industrial processes. Druck-Ausgabe 1. ed. Chichester : John Wiley & Sons Inc, 2012. XVIII, 522 S.DDC classification:

536/.2 23
536.2
SCI065000

MSC: MSC: *76-02 | 76U05 | 76E06 | 76E07 | 76E20 | 80A20LOC classification:

QC320.2

Online resources:

Zugang im Netz des KIT

Summary: Intro -- Rotating Thermal Flows -- Contents -- Preface -- Acknowledgements -- Chapter 1 Equations, General Concepts and Nondimensional Numbers -- 1.1 The Navier-Stokes and Energy Equations -- 1.1.1 The Continuity Equation -- 1.1.2 The Momentum Equation -- 1.1.3 The Total Energy Equation -- 1.1.4 The Budget of Internal Energy -- 1.1.5 Closure Models -- 1.2 Some Considerations about the Dynamics of Vorticity -- 1.2.1 Vorticity and Circulation -- 1.2.2 Vorticity in Two Dimensions -- 1.2.3 Vorticity Over a Spherical Surface -- 1.2.4 The Curl of the Momentum Equation -- 1.3 Incompressible Formulation -- 1.4 Buoyancy Convection -- 1.4.1 The Boussinesq Model -- 1.4.2 The Grashof and Rayleigh Numbers -- 1.5 Surface-Tension-Driven Flows -- 1.5.1 Stress Balance -- 1.5.2 The Reynolds and Marangoni Numbers -- 1.5.3 The Microgravity Environment -- 1.6 Rotating Systems: The Coriolis and Centrifugal Forces -- 1.6.1 Generalized Gravity -- 1.6.2 The Coriolis, Taylor and Rossby Numbers -- 1.6.3 The Geostrophic Flow Approximation -- 1.6.4 The Taylor-Proudman Theorem -- 1.6.5 Centrifugal and Stratification Effects: The Froude Number -- 1.6.6 The Rossby Deformation Radius -- 1.7 Some Elementary Effects due to Rotation -- 1.7.1 The Origin of Cyclonic and Anticyclonic flows -- 1.7.2 The Ekman Layer -- 1.7.3 Ekman Spiral -- 1.7.4 Ekman Pumping -- 1.7.5 The Stewartson Layer -- Chapter 2 Rayleigh-B´enard Convection with Rotation -- 2.1 Rayleigh-B´enard Convection with Rotation in Infinite Layers -- 2.1.1 Linear Stability Analysis -- 2.1.2 Asymptotic Analysis -- 2.2 The Kuppers-Lortz Instability and Domain Chaos -- 2.3 Patterns with Squares -- 2.4 Typical Phenomena for Pr = 1 and Small Values of the Coriolis Number -- 2.4.1 Spiral Defect Chaos and Chiral Symmetry -- 2.4.2 The Interplay between the Busse Balloon and the KL Instability.Summary: Rotating Thermal Flows in Natural and Industrial Processes provides the reader with a systematic description of the different types of thermal convection and flow instabilities in rotating systems, as present in materials, crystal growth, thermal engineering, meteorology, oceanography, geophysics and astrophysics. It expressly shows how the isomorphism between small and large scale phenomena becomes beneficial to the definition and ensuing development of an integrated comprehensive framework. This allows the reader to understand and assimilate the underlying, quintessential mechanisms without requiring familiarity with specific literature on the subject. Topics treated in the first part of the book include: Thermogravitational convection in rotating fluids (from laminar to turbulent states); Stably stratified and unstratified shear flows; Barotropic and baroclinic instabilities; Rossby waves and Centrifugally-driven convection; Potential Vorticity, Quasi-Geostrophic Theory and related theorems; The dynamics of interacting vortices, interacting waves and mixed (hybrid) vortex-wave states; Geostrophic Turbulence and planetary patterns. The second part is entirely devoted to phenomena of practical interest, i.e. subjects relevant to the realms of industry and technology, among them: Surface-tension-driven convection in rotating fluids; Differential-rotation-driven (forced) flows; Crystal Growth from the melt of oxide or semiconductor materials; Directional solidification; Rotating Machinery; Flow control by Rotating magnetic fields; Angular Vibrations and Rocking motions; Covering a truly prodigious range of scales, from atmospheric andPPN: PPN: 809924366Package identifier: Produktsigel: ZDB-26-MYL | ZDB-30-PAD | ZDB-30-PQE

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