Micromixers, 2nd Edition

Chapter 2. Fundamentals of mass transport in the microscale

Chapter Outline

2.1. Transport Phenomena10

2.1.1. Molecular level10

2.1.2. Continuum level14

2.1.2.1. Conservation of mass14

2.1.2.2. Conservation of momentum15

2.1.2.3. Conservation of energy21

2.1.2.4. Conservation of species22

2.2. Molecular Diffusion22

2.2.1. Random walk and Brownian motion22

2.2.2. Stokes–Einstein model of diffusion23

2.2.3. Diffusion coefficient24

2.2.3.1. Diffusion coefficient in gases24

2.2.3.2. Diffusion coefficient in liquids25

2.2.3.3. Diffusion coefficient of electrolytes26

2.3. Taylor Dispersion28

2.3.1. Two-dimensional analysis28

2.3.2. Three-dimensional analysis34

2.4. Chaotic Advection36

2.4.1. Basic terminologies36

2.4.2. Examples of chaotic advection40

2.4.2.1. Lorentz's ...