The variation curves of Sgu and relevant geometrical parameters with increasingx for A ¼ 0:2m2 are further shown in Fig. 3. The fin height, as well as the fin spacing of both hot- and cold-side heat transfer channels, can be obtained, while the fin spacing of both side channels are set to be the same in this case. Obviously, from the Fig. 3 , with increasing x , the hot-side fin height Hh increases,and cold-side fin height Hc decreases, whereas the fin spacing sf varies more smoothly. Fig. 3 shows that for the given conditions, the optimal heat transfer area allocation ratio xopt is 0.41 when
the Sgu reaches the minimum value. The corresponding optimal values of main objective geometrical parameters are given as follows, sf = 2.18 mm,H h= 4.85 mm, andH c= 7.85 mm. It can be concluded from the above analysis that, the minimum specific entropy generation rate can be achieved by optimally allocating the heat transfer area between the hot and cold-side heat transfer channels with the total heat transfer area as a constraint.
The variation curves of Sgu and relevant geometrical parameters with increasingx for A ¼ 0:2m2 are further shown in Fig. 3. The fin height, as well as the fin spacing of both hot- and cold-side heat transfer channels, can be obtained, while the fin spacing of both side channels are set to be the same in this case. Obviously, from the Fig. 3 , with increasing x , the hot-side fin height Hh increases,and cold-side fin height Hc decreases, whereas the fin spacing sf varies more smoothly. Fig. 3 shows that for the given conditions, the optimal heat transfer area allocation ratio xopt is 0.41 whenthe Sgu reaches the minimum value. The corresponding optimal values of main objective geometrical parameters are given as follows, sf = 2.18 mm,H h= 4.85 mm, andH c= 7.85 mm. It can be concluded from the above analysis that, the minimum specific entropy generation rate can be achieved by optimally allocating the heat transfer area between the hot and cold-side heat transfer channels with the total heat transfer area as a constraint.
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