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Concentration Fields in Drying Droplets
Author(s) -
Brenn G.
Publication year - 2004
Publication title -
chemical engineering and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.403
H-Index - 81
eISSN - 1521-4125
pISSN - 0930-7516
DOI - 10.1002/ceat.200407025
Subject(s) - diffusion , computation , shrinkage , mechanics , materials science , thermodynamics , mathematics , chemistry , mathematical analysis , physics , composite material , algorithm
The paper presents an analytical solution of the diffusion equation on a spherical domain with its surface shrinking linearly with time. The solution is given as a series expansion in confluent hypergeometric functions and is valid for arbitrary ratios of the rate of shrinkage of the surface of the sphere to the diffusion coefficient in the liquid phase. The field of application of the results is spray drying of solutions of solid substances with very low vapor pressure. The mathematical functions found may be used as a benchmark for numerical computations.