The Classical Stefan Problem
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"The Classical Stefan Problem" by S. C. Gupta (Ph. D., D. Sc.), S. C. Gupta is a physics book focused on Thermal Effects. Best for students, educators, and scientifically curious readers.
For example, the description of some phase-field models in Chapter 4 arose out of this need for a smooth transition between topics. In the mathematical formulation of Stefan problems, the curvature effects and the kinetic condition are incorporated with the help of the modified Gibbs-Thomson relation. On the basis of some thermodynamical and metallurgical considerations, the modified Gibbs-Thomson relation can be derived, as has been done in the text, but the rigorous mathematical justification comes from the fact that this relation can be obtained by taking appropriate limits of phase-field models. Because of the unacceptability of some phase-field models due their so-called thermodynamical inconsistency, some consistent models have also been described. This completes the discussion of phase-field models in the present context.-
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"The Classical Stefan Problem" by S. C. Gupta (Ph. D., D. Sc.), S. C. Gupta is a physics book focused on Thermal Effects. Best for students, educators, and scientifically curious readers.
Topic: Thermal Effects
Author: S. C. Gupta (Ph. D., D. Sc.), S. C. Gupta
Who this is for:
- Physics students
- Science-minded readers
- Readers building technical understanding
Why this book matters: It provides structured coverage of physics concepts in a way that supports deeper understanding and continued study.
For example, the description of some phase-field models in Chapter 4 arose out of this need for a smooth transition between topics. In the mathematical formulation of Stefan problems, the curvature effects and the kinetic condition are incorporated with the help of the modified Gibbs-Thomson relation. On the basis of some thermodynamical and metallurgical considerations, the modified Gibbs-Thomson relation can be derived, as has been done in the text, but the rigorous mathematical justification comes from the fact that this relation can be obtained by taking appropriate limits of phase-field models. Because of the unacceptability of some phase-field models due their so-called thermodynamical inconsistency, some consistent models have also been described. This completes the discussion of phase-field models in the present context.-
| Author | S. C. Gupta (Ph. D., D. Sc.), S. C. Gupta |
| Publisher | Jai Press |
| Published | 2003 |
| ISBN-13 | 9780444510860 |
| Binding | Hardcover |
| Pages | 385 |
| Language | English |
| Subjects | Science |
| Topic | Thermal Effects |
| Series | North-Holland Applied Mathematics and Mechanics |
Format: Hardcover
Length: 385 pages
Language: English
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