P. E. J. Rivera Díaz del Castillo
Phase Transformations and Complex Properties Group,
Department of Materials Science and Metallurgy,
University of Cambridge,
Cambridge, U.K.
To obtain the variation of dimensionless supersaturation with Péclet number and the ratio of the plate tip radius and the critical radius for nucleation.
This program reads the value of Q, and a table with the variation of M1 and M2 with Péclet number from the input data file 'indat11.d' (see MAP_KINETIC_PARAMETER_S1), and writes the output in the file 'res1.d'.
The program obtains the variation of dimesnonless supersaturation with Péclet number and the ratio of the plate tip radius and the critical radius for nucleation by simultaneously solving the diffusion equation expressed in parabolic coordinates and an equation to account for mass balance at the parabolic interface. The equations can be found in the references.
P. E. J. Rivera Díaz del Castillo, Kinetics of Precipitation Reactions, Ph.D. Thesis, University of Cambridge.
R. Trivedi, 'The role of interfacial energy and interface kinetics during the growth of precipitate plates and needles', Metallurgical Transactions,1 921-927 1970.