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Theoretical and Practical Stefan Problems / by Timothy G. Myers.
Springer Nature - Springer Mathematics and Statistics (R0) eBooks 2025 English International Available online
View online- Format:
- Book
- Author/Creator:
- Myers, Timothy G.
- Series:
- Interdisciplinary Applied Mathematics, 2196-9973 ; 63
- Language:
- English
- Subjects (All):
- Differential equations.
- Mathematical models.
- Thermodynamics.
- Heat engineering.
- Heat--Transmission.
- Heat.
- Mass transfer.
- Differential Equations.
- Mathematical Modeling and Industrial Mathematics.
- Engineering Thermodynamics, Heat and Mass Transfer.
- Local Subjects:
- Differential Equations.
- Mathematical Modeling and Industrial Mathematics.
- Engineering Thermodynamics, Heat and Mass Transfer.
- Thermodynamics.
- Physical Description:
- 1 online resource (349 pages)
- Edition:
- 1st ed. 2025.
- Place of Publication:
- Cham : Springer Nature Switzerland : Imprint: Springer, 2025.
- Summary:
- This text provides a modern introduction to the mathematical formulation and physical applications of Stefan problems. With a careful balance of theory and practice, it is suitable for both graduate students and experienced researchers in applied math, engineering, physics, and chemistry. The formulation of the Stefan problem and several analytical and approximate solution methods are described in the first three chapters. Applied mathematical techniques needed for later chapters, such as non-dimensionalization, perturbation methods, and lubrication theory, are also covered. The remaining chapters are more specialized and explore formulations going beyond the classical Stefan problem, for example where the material properties and phase change temperatures vary. The theory is always motivated by physical situations and examples: phase change with a flowing liquid in the context of microvalves and ice accretion on aircraft; the solidification of a supercooled liquid, the melting or growth of nanoparticles and nanocrystals and phase change when the heat flow no longer follows Fourier’s law.
- Contents:
- Introduction
- Exact and approximate solutions
- Solidification of a thin liquid layer
- Variable property Stefan problem
- Variable interface conditions
- Non-Fourier Stefan problems
- Hints to Exercises
- Index.
- Notes:
- Description based on publisher supplied metadata and other sources.
- Other Format:
- Print version: Myers, Timothy G. Theoretical and Practical Stefan Problems
- ISBN:
- 9783032048264
- OCLC:
- 1572202738
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