LEADER 05340nam 2200625Ia 450 001 9910877889003321 005 20200520144314.0 010 $a3-527-63975-6 010 $a1-283-86976-4 010 $a3-527-63976-4 010 $a3-527-63974-8 035 $a(CKB)3460000000080842 035 $a(EBL)822113 035 $a(OCoLC)797919112 035 $a(SSID)ssj0000622330 035 $a(PQKBManifestationID)11386320 035 $a(PQKBTitleCode)TC0000622330 035 $a(PQKBWorkID)10639191 035 $a(PQKB)10760304 035 $a(MiAaPQ)EBC822113 035 $a(EXLCZ)993460000000080842 100 $a20120119d2012 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aTransport and mixing in laminar flows $efrom microfluidics to oceanic currents /$fedited by Roman Grigoriev 210 $aWeinheim $cWiley-VCH$d2012 215 $a1 online resource (192 p.) 225 1 $aReviews of nonlinear dynamics and complexity 300 $aDescription based upon print version of record. 311 $a3-527-41011-2 320 $aIncludes bibliographical references and index. 327 $aTransport and Mixing in Laminar Flows: From Micro. uidics to Oceanic Currents; Contents; List of Contributors; Mixing in Laminar Fluid Flows: From Microfluidics to Oceanic Currents; Introduction; 1 Resonances and Mixing in Near-Integrable Volume-Preserving Systems; 1.1 Introduction; 1.2 General Properties of Near-Integrable Flows and Different Types of the Resonance Surfaces; 1.2.1 Metrics of Mixing; 1.2.2 Correlations of Successive Jumps and Ergodicity; 1.3 Separatrix Crossings in Volume-Preserving Systems; 1.3.1 Flow Structure; 1.3.2 Dynamics Near the Separatrix Surface 327 $a1.3.3 Finite Perturbations1.4 Passages Through Resonances in Autonomous Flows; 1.4.1 Scattering on Resonance; 1.4.2 Capture Into Resonance; 1.4.3 Improved AI; 1.4.4 Jump of AI Between First- and Second-Layer Boundaries; 1.4.5 Long-Time Dynamics and Adiabatic Diffusion; 1.5 Passages Through Resonances in Nonautonomous Flows; 1.5.1 Unperturbed Flow; 1.5.2 Two Perturbations and Averaging; 1.5.3 Resonant Phenomena; 1.5.4 Volume of the Mixing Domain; References; 2 Fluid Stirring in a Tilted Rotating Tank; 2.1 Introduction and Background Information; 2.2 Tilted-Rotating Tank Analysis 327 $a2.2.1 Tilted-Rotating Tank Model Equation2.2.1.1 Asymptotic Analysis: Free Surface Vortex; 2.2.1.2 Linear Analysis: Periodic Shearing; 2.2.2 Comments on Laminar Flow; 2.2.3 Analytical Results; 2.3 Experiments; 2.3.1 Setup and Procedure; 2.3.1.1 Low Reynolds Number Experiments: Homogeneous Fluid; 2.3.1.2 Laminar Flow Experiments: Homogeneous and Inhomogeneous Fluids; 2.3.2 Results and Analysis; 2.3.2.1 Low Reynolds Number; 2.3.2.2 Laminar Flow: Homogeneous Fluid; 2.3.2.3 Laminar Flow: Inhomogeneous Fluid; 2.3.3 Brief Discussion; 2.4 Conclusion; References; 3 Lagrangian Coherent Structures 327 $a3.1 Introduction3.2 Background; 3.3 Global Approach; 3.3.1 FTLE; 3.3.2 FTLE Ridges; 3.3.3 Nature of Stretching; 3.3.4 Objectivity; 3.4 Computational Strategy; 3.4.1 Grid-Based Computation; 3.4.2 Integration Time; 3.4.3 LCS Extraction; 3.5 Robustness; 3.6 Applications; 3.7 Conclusions; References; 4 Interfacial Transfer from Stirred Laminar Flows; 4.1 Introduction; 4.2 Phenomena and Definitions; 4.3 Experimental Methods; 4.3.1 Protein Binding; 4.3.2 Electrochemical Reactions; 4.3.3 Heat Transfer from Macroscopic Coiled Pipe; 4.3.4 Interphase Mass Transfer from Droplets 327 $a4.3.5 Summary of Experimental Observations4.4 Modeling Approaches; 4.4.1 Numerical Solutions in Eulerian Frame; 4.4.2 Numerical Solutions in Lagrangian Frame; 4.4.3 Macrotransport Approach; 4.4.4 Theoretical Approaches; 4.5 Conclusions; References; 5 The Effects of Laminar Mixing on Reaction Fronts and Patterns; 5.1 Introduction; 5.2 Background; 5.2.1 Laminar mixing - the Advection-Diffusion Equation; 5.2.2 Short-Range Mixing; 5.2.3 Long-Range Transport of Impurities; 5.2.4 Nonlinear Reactions; 5.2.5 Reaction-Diffusion Systems; 5.3 Advection-Reaction-Diffusion: General Principles 327 $a5.4 Local Behavior of ARD Systems 330 $aThis book provides readers from academia and industry with an up-to-date overview of important advances in the field, dealing with such fundamental fluid mechanics problems as nonlinear transport phenomena and optimal control of mixing at the micro- and nanoscale. The editors provide both in-depth knowledge of the topic as well as vast experience in guiding an expert team of authors. The review style articles offer a coherent view of the micromixing methods, resulting in a much-needed synopsis of the theoretical models needed to direct experimental research and establish engineering princi 410 0$aReviews of nonlinear dynamics and complexity. 606 $aFluid mechanics$xMathematical models 606 $aNonlinear theories 615 0$aFluid mechanics$xMathematical models. 615 0$aNonlinear theories. 676 $a532.0015118 701 $aGrigoriev$b Roman$01756932 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910877889003321 996 $aTransport and mixing in laminar flows$94194537 997 $aUNINA