Abstract
Consider a solid particle composed of chemical A. the particle is in a solution of chemical B. As the particle dissolves, the A that enters the solution reacts with B to form chemical C. Then C diffuses back to the particle and adsorbs to the particle’s surface. The presence of C on the particle’s surface inhibits the dissolution, and ultimately shuts it down entirely. This process was recently modeled by Kam-Chuen Ng and David S. Ross from Eastman Kodak. The mathematical model is expressed as a Stefan problem for reaction-diffusion system. On May 7, 1993 David Ross presented the model, described some asymptotic analysis, both for large reaction rates and for small time. He concluded with several open problems regarding this system.
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References
W. Xie, The Stefan problem with a kinetic condition at the free boundary, SIAM J. Math. Anal, 21 (1990), 362–373.
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© 1994 Springer-Verlag New York, Inc.
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Friedman, A. (1994). Dissolution kinetics with feedback. In: Mathematics in Industrial Problems. The IMA Volumes in Mathematics and its Applications, vol 57. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8383-3_18
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DOI: https://doi.org/10.1007/978-1-4613-8383-3_18
Publisher Name: Springer, New York, NY
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