Modelling and Simulation of Diffusive Processes Methods and Applications

Computer simulation and mathematical modelling are the most important approaches in the quantitative analysis of the diffusive processes fundamental to many physical, chemical, biological, and geological systems.

This comprehensive text/reference addresses the key issues in the Modelling and Simulation of Diffusive Processes from a broad range of different application areas. Applying an holistic approach, the book presents illuminating viewpoints drawn from an international selection of experts across a wide spectrum of disciplines, from computer science, mathematics and engineering, to natural resource management, environmental sciences, applied geo-sciences, agricultural sciences, and theoretical medicine.

Topics and features: presents a detailed introduction to diffusive processes and modelling; discusses diffusion and molecular transport in living cells, and suspended sediment in open channels; examines the mathematical modelling of peristaltic transport of nanofluids, and isotachophoretic separation of ionic samples in microfluidics; reviews thermal characterization of non-homogeneous media, and scale-dependent porous dispersion resulting from velocity fluctuations; describes the modelling of nitrogen fate and transport at the sediment-water interface, and groundwater flow in unconfined aquifers; investigates two-dimensional solute transport from a varying pulse type point source, and futile cycles in metabolic flux modelling; studies contaminant concentration prediction along unsteady groundwater flow, and modelling synovial fluid flow in human joints; explores the modelling of soil organic carbon, and crop growth simulation.

This interdisciplinary volume will be invaluable to researchers, lecturers and graduate students from such diverse fields as computer science, mathematics, hydrology, agriculture and biology.

Diffusive Processes and Modeling: An Introduction
Naveen Kumar and S.K. Basu

Diffusion and Transport of Molecules in Living Cells
Ruchi Gaur, Lallan Mishra, and Susanta K. Sen Gupta

Modeling the Diffusion and Transport of Suspended Sediment in Open Channels, Using Two-Phase Flow Theory
Sanjeev Kumar Jha and Fabián A. Bombardelli

Mathematical Modeling of Peristaltic Pumping of Nano-Fluids
Dharmendra Tripathi and O. Anwar Bég

Numerical Study on Isotachophoretic Separation of Ionic Samples in Microfluidics
Partho P. Gopmandal and S. Bhattacharyya

Thermal Characterization of Non-Homogeneous Media
Diego Knupp, Henrique Massard da Fonseca, Carolina P. Naveira-Cotta, Helcio R.B. Orlando, Renato M. Cotta, and Olivier Fudym

Scale Dependent Porous Dispersion Resulting from the Cumulative Effects of Velocity Fluctuations
Wynand S. Verwoerd

Modeling Nitrogen Fate and Transport at the Sediment-Water Interface
Mohammed M. Hantush, and Latif Kalin

Modeling Groundwater Flow in Unconfined Aquifers
S.N. Rai

Two-Dimensional Solute Transport from a Varying Pulse-Type Point Source
Premlata Singh, Sanjay Kumar Yadav, and Alexander V. Perig

The Problem of Futile Cycles in Metabolic Flux Modeling: Flux Space Characterization and Practical Approaches to its Solution
Wynand S. Verwoerd and Longfei Mao

Contaminant Concentration Prediction Along Unsteady Groundwater Flow
Mritunjay Kumar Singh and Priyanka Kumari

Wavelet-Multigrid Method for Solving Modified Reynolds Equation Modeling Synovial Fluid Flow in a Normal Human Knee Joint
Chandrasekhar Salimath

A Basic Concept on Modeling Soil Organic Carbon
Nimai Senapati, Subhadip Ghosh, Heiko Daniel, and Amitava Rakshit

Crop Growth Simulation Modeling
Avnish Kumar Bhatia