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81.
82.
Ajay Manglik 《Journal of Earth System Science》2005,114(2):169-176
During the solidification of a lava lake heat is released convectively from the top surface as well as conductively into the
country rock from the base, leading to non-uniform solidification. The upper solidified layer grows at a faster rate than
the lower solidified layer. Similarly, solidification of magma intrusion within the crust is also non-uniform due to the presence
of thermal gradient in the crust. Available analytical solution for solidification of a melt layer assumes only symmetric
cooling about the centre of the layer. In the present work a moving boundary solution for thermal evolution and non-uniform
solidification of a melt layer incorporating time-varying contact temperature conditions at both of its boundaries is developed.
The solution is obtained by using the Fourier spectral approach in the space domain and a modified finite difference scheme
in the time domain, and is validated with available analytical solutions for simple cases and a semi-analytical solution for
the case involving temperature gradient in the country rock. This solution can be used to analyse solidification of lava lakes
and magma intrusions experiencing time-dependent temperature variation at their contacts with the country rock. 相似文献