Intro -- Title page -- Table of Contents -- Copyright -- Dedication -- Preface -- Acknowledgment -- Introduction -- 1. Nanotechnology -- 2. Units and dimensions -- 3. Some basics of mathematics -- 4. Some basics of numerical analysis -- 5. Short guide to MATLAB -- 6. Short guide to python -- 1. Basic concepts and modeling aspects -- 1.1. Continuum theory and fluid flow -- 1.2. Flow in porous media -- 1.3. Rock properties -- 1.4. Fluid properties -- 1.5. Modeling of flow in porous media -- 1.6. Filtration theory -- 1.7. Nanoparticles transport with single-phase flow
1.8. Nanoparticles transport with two-phase flow -- 1.9. General model for different nanoparticles interval sizes -- 2. Dimensional analysis and analytical solutions -- 2.1. Dimensional analysis -- 2.2. Analytical solutions -- 3. Spatial numerical discretization methods for nanoparticles transport in porous media -- 3.1. Mesh generation -- 3.2. Cell-centered finite difference method -- 3.3. Shifting matrix method with MATLAB implementation -- 3.4. Finite element method -- 3.5. Mixed finite element method -- 4. Temporal numerical discretization schemes -- 4.1. Introduction
4.2. Forward and backward uler difference schemes -- 4.3. Courant-Friedrichs-Lewy stability condition -- 4.4. Multiscale time-splitting scheme -- 4.5. Relaxation factor -- 4.6. Implicit pressure implicit concentration scheme -- 4.7. Implicit pressure explicit saturation implicit concentration scheme -- 4.8. MATLAB code -- 4.9. Stability analysis of the IMPES method -- 5. Iterative schemes and convergence analysis -- 5.1. Introduction -- 5.2. Iterative method for nanoparticles in single-phase flow -- 5.3. Iterative method for nanoparticles in two-phase flow -- 5.4. Numerical example
5.5. MATLAB code -- 6. Nanoparticles transport in fractured porous media -- 6.1. Introduction -- 6.2. Dual-continuum approaches -- 6.3. Boundary conditions approach -- 6.4. Shape factor approach -- 6.5. Discrete fracture model -- 6.6. Hybrid embedded fracture model -- 7. Nanoparticles transport in anisotropic porous media -- 7.1. Nature of the anisotropic porous media -- 7.2. Modeling of flow in anisotropic porous media -- 7.3. Nanoparticles transport in anisotropic porous media -- 7.4. Numerical methods for anisotropic porous media -- 7.5. Multipoint flux approximation -- 7.6. Numerical example
8. Magnetic nanoparticles transport in porous media -- 8.1. Introduction -- 8.2. Modeling of magnetic nanoparticles -- 8.3. Magnetic nanoparticles in single-phase flow -- 8.4. Magnetic nanoparticles in two-phase flow -- 8.5. Analytical solutions -- 9. Nano-ferrofluids transport in porous media -- 9.1. Introduction -- 9.2. Properties of ferrofluids -- 9.3. Ferrofluids in single-phase flow -- 9.4. Analytical solutions -- 9.5. Nonisothermal ferrofluids transport in porous media -- 9.6. Ferrofluids transport in two-phase flow -- 10. Other nanoparticles transport interactions
Note
Description based on online resource; title from digital title page (viewed on September 19, 2023).
