Transport and mixing in laminar flows : from microfluidics to oceanic currents / / edited by Roman Grigoriev

• Record Nr.: UNINA9910877889003321
• Pubbl/distr/stampa: Weinheim, : Wiley-VCH, 2012
• ISBN: 3-527-63975-6; 1-283-86976-4; 3-527-63976-4; 3-527-63974-8
• Descrizione fisica: 1 online resource (192 p.)
• Collana: Reviews of nonlinear dynamics and complexity
• Altri autori (Persone): GrigorievRoman
• Disciplina: 532.0015118
• Soggetti: Fluid mechanics - Mathematical models; Nonlinear theories
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Transport 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; 1.3.3 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; 2.2.1 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; 3.1 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; 4.3.5 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; 5.4 Local Behavior of ARD Systems
• Sommario/riassunto: This 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