Using　a　novel　method　that　couples　genetic　algorithm　(GA)　with　numerical　simulation,　the　geometric　configuration　for　a　two-dimensional　slotted　fin　has　been　optimized　in　this　paper.　The　objective　of　optimization　is　to　maximize　the　heat　transfer　capacity　of　slotted　fin,　and　minimize　the　pressure　drop　penalty　of　fluid　flow　through　the　fin.　The　key　of　this　method　is　the　fitness　function　of　GA,　which　were　(j/j(0))/(f/f(0))　and　j/j(0).　In　this　complex　multiparameter　problem,　the　numerical　simulation　is　a　crucial　step　to　calculate　the　Colburn　factor　j　and　friction　factor　f.　The　results　showed　that　for　two-dimensional　slotted　fin　considered,　the　j　factor　is　increased　by　229.22%,　the　f　factor　is　increased　by　196.30%,　and　the　j/f　ratio　was　increased　by　11.11%　at　Re　=　500　based　on　optimal　integrated　performance　(j/j(0))/(f/f(0));　the　j　factor　is　increased　by　479.08%　at　Re　=　500　based　on　optimal　heat　exchange　capacity　j/j(0).　The　feasibility　of　optimal　designs　was　verified　by　the　field　synergy　principle.　(C)　2011　Elsevier　Ltd.　All　rights　reserved.