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3.7 Optimization o f MHE geometry 39 simple program was written to calculate the Goodness factor for a user defined number of dimensions (variables), range and intervals for each dimension. The program stores a user defined number of optimum solutions from the entire lattice. Regions of interest may then be explored by defining smaller intervals. This is by no means an efficient method for optimization, but given the complex interplay of several variables, is simple and should allow a definitive mapping ofthe Goodness factor. Equal intervals were used for incrementing each variable and so sets of best results were recorded to eliminate highly localised minima. A copy of this program is listed in appendix A. Prior to a method of construction being devised this exhaustive search optimization was done for plate thickness 8, hole diameter d, hole spacing Xl' spacer pitch Xl' channel width Wand fin height Hf. This was done for wire mesh cores as well, for wire diameter and spacing instead of 8, d and Xl' The results for wire mesh are not reported here as no experimental work was done to give comparable values. The best results calculated.in this way for perforated plate are shown in Table 3.3. These results show that high surface area per unit volume (~), high porosity (p), high frontal area (WxHf) and low fin height (Hf) alone do not give an optimum MHE geometry. They ratify the complex interplay of various variables entering into the design of heat exchangers with very high effectiveness. The optimum geometry for the two MHE's required in this project was not identical. The difference is due to the variation of air properties with temperature. The two MHE's operate in different temperature ranges and lower values of 8 and d were indicated for the lower temperature MHE. To minimize construction costs, the same plates were used for both MHE's. This gave, theoretically, a Goodness factor 18% higher than for the optimum case, for the lower temperature MHE. The results of this optimization were used as a guide to establish the viability of the fabrication of the MHE by the new method. They showed that plates made by photo- chemical etching and spacers made from PCB laminate were of suitable dimensions. The optimization was re-done with the material, material availability and process constraints in place. This gave a Goodness factor 19% higher than for the optimum case. The dimensions used for construction are shown against the optimization results in Table 3.3.PDF Image | CO2 removal from air for alkaline fuel cells operating with liquid H2
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