Micro- and Nanoflows, 1st ed. 2018
Modeling and Experiments
Fluid Mechanics and Its Applications Series, Vol. 118

This book describes physical, mathematical and experimental methods to model flows in micro- and nanofluidic devices. It takes in consideration flows in channels with a characteristic size between several hundreds of micrometers to several nanometers. Methods based on solving kinetic equations, coupled kinetic-hydrodynamic description, and molecular dynamics method are used. Based on detailed measurements of pressure distributions along the straight and bent microchannels, the hydraulic resistance coefficients are refined. Flows of disperse fluids (including disperse nanofluids) are considered in detail. Results of hydrodynamic modeling of the simplest micromixers are reported. Mixing of fluids in a Y-type and T-type micromixers is considered. The authors present a systematic study of jet flows, jets structure and laminar-turbulent transition. The influence of sound on the microjet structure is considered. New phenomena associated with turbulization and relaminarization of the mixing layer of microjets are discussed. Based on the conducted experimental investigations, the authors propose a chart of microjet flow regimes. When addressing the modeling of microflows of nanofluids, the authors show where conventional hydrodynamic approaches can be applied and where more complicated models are needed, and they analyze the hydrodynamic stability of the nanofluid flows. The last part of the book is devoted the statistical theory of the transport processes in fluids under confined conditions. The authors present the constitutive relations and the formulas for transport coefficients. In conclusion the authors present a rigorous analysis of the viscosity and diffusion in nanochannels and in porous media.

1 Methods of Modeling of Microflows and Nanoflows

Abstract

1.1       Considered Systems and Their Classification

1.2       Modeling of Rarefied Gas Microflows

1.3       Modeling of Moderately Dense Gases

1.4       Modeling of Dense Gas and Liquid Flows

1.5       Modeling of Disperse Fluid Flows

1.6       Modeling of Nanofluid Microflows

1.7       Molecular Dynamics Method

References

2 Gasdynamic Structure and Stability of Gas Microjets

Abstract

2.1       Investigation and Application of Microjets

2.2       Stability of a Subsonic Plane Gas Microjet

2.3       Structure and Characteristics of Stability of Supersonic

Axisymmetric Microjets

2.4       Microjet Simulation with the Use of Macrojets

References

3 Fluid Flows in Microchannels

Abstract

3.1       Methods of Determining the Hydraulic Resistance Coefficient in Tubes

3.2       Fabrication Technology and Characteristics of Microchannels

3.3       Experimental Arrangement

3.4       Errors of Microchannel Measurements

3.5       Fluid Flow in Straight Tubes

3.6       Fluid Flows in Curved Tubes

References

4 Modeling of Micromixers

Abstract

4.1       Algorithm for Solving the Navier-Stokes Equations

4.2       Testing of the Algorithm

4.3       Mixing of Fluids in a Y-type Mixer at Low Reynolds Numbers

4.4       Mixing of Fluids in a T-type Micromixer at Moderate Reynolds Numbers

4.5       Experimental Study of Flow Regimes in a T-type Micromixer

4.6       Modeling of Two-phase Flows in a T-type Micromixer

4.7       Heat Transfer in a T-type Micromixer

4.8       Active Method of Mixing

References

5  Modeling of Nanoflows

Abstract

5.1       Molecular Dynamics Simulation of a Channel Flow Generated by an

External Force

5.2       Algorithm of Modeling a Plane Nanoflow under Pseudo-periodic

Conditions

5.3       Algorithm of Modeling a Plane Nanoflow with a Prescribed Flow Rate

5.4       Specific Features of Nanoflows in MD Simulations

5.5       Diffusion of Molecules in Nanochannels

5.6       Self-diffusion of Molecules in Porous Media

5.7       Modeling of Nanofluid Separation with the Use of Nanomembranes

References

6 Fluid Transport under Constrained Conditions

Abstract

6.2       On Fluid Viscosity in the Nanochannel

References

Conclusions

References

Vladimir M. Aniskin, Doctor, graduated the faculty of aircrafts of the Novosibirsk State Technical University. He completed his Ph.D. dissertation on experimental investigations of hypersonic flows. In 2012 he defended the doctor of science in physics and mathematics dissertation. He is senior researcher in Khristianovich Institute of Theoretical and Applied Mechanics of Siberian Branch of Russian Academy of Sciences in Novosibirsk. His main field of expertise includes the following subjects: investigations of gas microjets, flows of liquids in microchannels, development of methods of microflows diagnostics. He is author of 1 monograph and more than 80 scientific papers.

Anatoly A. Maslov, Professor, graduated the physical faculty of the Novosibirsk State University. He completed his PhD dissertation in numerical investigation of supersonic boundary layer stability.  In 1988 he defended the doctor of science in physics

Offers a thorough and systematic coverage of flows in micro- and nanofluidic devices

Discusses modeling methods of micro- and nanoflows and the ranges of their applicability

Presents the statistical theory of transport processes under confined conditions

Offers the first analysis of the hydrodynamic stability of the nanofluid flows

Presents systematic data on jets structure, laminar-turbulent transition and the chart of microjet flow regimes