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The energy balance equation for a 2D control volume is given by:
This simplifies in a medium surrounded by a material with identical conductivity to the average of the neighbouring cell temperatures:
Assuming heat loss through the edges due to convective heat transfer we can derive the temperatures for edge cells and corner cells:
The file can be downloaded in Open Office format [[Media:2d_Plate_model_3_strips.ods]] or Excel [[Media:2d Plate_model_3_strips.xls]]. Another model was developed for four square heaters which could be used to investigate the design of a modified hot press that used stove element heaters instead of the more specialized Omega heaters and can be found here [[Media:2d Plate_model_3_strips_square.xls]].