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Related to this work with partial differential equations was his discovery of a solution to the problem of distribution of heat in a solid with a variable boundary temperature, now known as Duhamel's principle.
Time-dependent boundary temperature is presented as Fourier series.
After 1 day, the boundary temperature already exceeded 100 °C, and the water in the soil started to boil.
The boundary temperature of the CTS support was determined from the analysis of cryostat with the TS.
If we assume a lower boundary temperature of 1,100°C, significant water loss continues to nearly 20 Ma Figuree 4b).
The domain used in this simulation model is a sphere of 10 μm radius and the domain boundary temperature is set to the heat bath temperature, (T_{0}).
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The unknown boundary temperatures are estimated by updating guess temperatures continuously with compensation values.
Correspondingly, two boundary temperatures existed between these stages.
With this solution it is possible to obtain both borehole boundary temperatures and the usual water temperature values.
And then, inference results of fuzzy inference units are weighted to yield compensation values of the unknown boundary temperatures.
While the higher boundary temperatures were located around 200 °C and almost independent of the annealing effect.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com