Micromixers, 2nd Edition

Chapter 3. Computational transport processes for micromixers^∗

Chapter Outline

3.1. Introduction74

3.2. Problem Description75

3.3. Mathematical Formulation75

3.3.1. Species transport75

3.3.2. Fluid transport76

3.3.3. Energy transport77

3.3.4. Electric and magnetic fields77

3.3.4.1. Electroosmotic flows78

3.3.4.2. Ferrofluid flows79

3.3.5. Two-fluid flows80

3.4. Solution Procedure82

3.4.1. General transient convection–diffusion equation82

3.4.2. Finite volume formulation82

3.4.2.1. Higher-order schemes86

3.4.2.2. Remarks87

3.4.3. Solution algorithm88

3.5. Verifications and Validations88

3.5.1. Verification – solution procedure of the general transient convection diffusion equation89

3.5.2. Validation – solution procedure of the Navier–Stokes equations90

3.5.3. Validation ...