Analytical Subsurface Environment
Heat transfer, Groundwater Flow and Contaminant Transport
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Product details:
- Publisher Springer Nature Switzerland
- Date of Publication 26 March 2026
- Number of Volumes 1 pieces, Book
- ISBN 9783031939099
- Binding Hardback
- No. of pages537 pages
- Size 254x178 mm
- Language English
- Illustrations XIII, 537 p. 202 illus., 180 illus. in color. Illustrations, black & white 700
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Long description:
"
The Essential Guide to Analytical Problem-Solving in Applied Sciences
This textbook offers a wealth of analytical solutions to engineering and applied sciences problems, with a primary focus on heat transfer, groundwater flow, and contaminant transport in shallow subsurface environments. It emphasizes a deeper understanding of the mathematical framework underlying physical processes, inspiring an appreciation for the power and elegance of analytical modeling. Whether you are a student, instructor, researcher, or professional, this resource delivers the clarity and tools necessary to address ambiguities in existing models and unlock the methods to solving complex boundary value problems.
Key Features
1. Step-by-Step Mathematical Solutions
With clear, methodical explanations, this textbook breaks down complex boundary value problems, making them approachable even for readers without advanced mathematical background. It equips learners at all levels to master simulating physical problems using accessible programming tools such as MATLAB, Python, Maple, and Fortran.
2. Fourier Method
This textbook employs the Fourier method, an elegant mathematical approach to solving boundary value problems. By utilizing eigenfunction expansion and the fast Fourier transform (FFT), it provides a simpler and more traceable alternative to the intricate inverse Laplace transform. In particular, the FFT’s capability to address random time-dependent boundary conditions broadens its applicability far beyond conventional analytical techniques.
3. Multi-level Studies
The book is designed for students and researchers at all levels. It includes foundational topics ideal for undergraduate and postgraduate students, as well as advanced materials tailored for PhD candidates, postdocs, principal researchers, and experienced professionals. The content of this book is particularly well-suited for courses in civil, environmental, geothermal, geotechnical, and agricultural engineering, as well as in hydrology, geoscience, and geophysics. Moreover, its comprehensive approach and practical examples enriches the learning experience and provide valuable insights on analytical modelling across the diverse fields of applied sciences.
Elevate your analytical modeling expertise with this vital guide. Whether you are enriching your coursework or advancing your research, this book’s traceable methodology and comprehensive approach offer valuable insights across a wide range of applied sciences.
" MoreTable of Contents:
Chapter 1. Introduction.- Part I. Mathematics of Field Problems.- Chapter 2. Fourier method in boundary value problems.- Chapter 3. Spectral analysis method.- Part II. Heat Flow.- Chapter 4. Heat flow.- Chapter 5. Heat conduction in infinite domains.- Chapter 6. Heat conduction in finite domains.- Chapter 7. Heat conduction in eccentric domains.- Chapter 8. Heat conduction-convection in infinite domains.- Chapter 9. Heat conduction-convection in finite domains.- Part III. Contaminant Transport.- Chapter 10. Mass transport.- Chapter 11. 1D contaminant transport.- Chapter 12. Axial symmetric contaminant transport.- Chapter 13. Coupled contaminant transport.- Part IV. The Spectral Element Method.- Chapter 14. Spectral element method for field problems.
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