sgr ms thesis - University of Maine

A temperature versus time plot was made from the ideal clast model
temperature data for points located in the center, edge, and a distance 1.06
times the clast radius into the magma. This plot is used to determine the pattern
of heat transfer in the clast for supersolidus temperatures, and to determine the
cooling history of surrounding magma similar to that of Okaya et al. (in press).
The same data from percent partial melt over time plot was used to
produce hypothetical clast size distribution (CSD) curves. CSD methods for these
plots are similar to those used for results in Chapter 6. Equivalent radius values
are calculated from the area below the solidus temperature for every clast
(collected using NIH ImageJ) and data are plotted with a radius interval of 10 0.3 .
7.2.3. Applications for Dimensionless Variables
Okaya et al. (in press) evaluated heat transfer using dimensionless
variables. This is a useful way to compare heat diffusion patterns by removing
the solution’s dependence on clast size, thermal gradient, and thermal diffusivity.
The following dimensionless variables are used to define this heat transfer study
(Okaya et al., in press):
(7.2)
(7.3)
(7.4)
where , , and are dimensionless time, temperature, and clast radius,
respectively. is the diffusivity coefficient of the heated material. is a
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