Analytical solutions of partial differential equations for chemical and subsurface energy resources engineering
Chemical and subsurface energy systems are governed by partial differential equations that require analytical methods connecting rigorous mathematics with engineering applications. Applied Mathematical Modeling in Chemical and Subsurface Energy Resources Engineering, by Hassan Hassanzadeh, Professor at the University of Calgary's Schulich School of Engineering, presents application-driven analytical techniques for modeling heat and mass transfer, fluid flow, and reactive transport.
The book develops analytical solution techniques for partial differential equations through step-by-step examples spanning diverse boundary conditions and geometries. Readers learn to model concentration, temperature, and pressure distributions in engineering applications, while extensive references and problem sets support independent study, professional development, and practical problem-solving in chemical and subsurface energy engineering.
Readers will also find:
- A comprehensive presentation of analytical solutions of partial differential equations as essential tools for solving complex transport phenomena in chemical, subsurface energy, and environmental engineering
- A strong foundation in boundary value problems and analytical methods, including separation of variables, eigenfunction expansions, Laplace transform, Fourier transform, Duhamel's theorem, Green's functions, integral transforms, and similarity solutions
- Problems drawn from contemporary research in subsurface energy and chemical engineering
- Visualization of results and worked examples that develop the modeling intuition required for academic research and industrial applications
- A broad range of engineering applications, supported by references and guidance for further study and exploration
Designed for multidisciplinary professionals and students in petroleum, chemical, environmental, and subsurface energy engineering, this book provides analytical solutions for diffusion, conduction, advection, and reaction. Software developers building simulation tools for subsurface energy systems will also find its analytical frameworks directly applicable to their work.