The　latent　heat　thermal　energy　storage　(LHTES)　unit　can　be　used　to　resolve　the　imbalance　between　energy　supply　and　demand.　To　boost　heat　storage　efficiency,　a　model　with　longitudinal　fins　was　developed　to　accelerate　the　melting　process.　Based　on　the　finite　volume　method　(FVM),　the　effect　of　fin　angle　and　number　on　melting　performance　was　evaluated.　Further,　the　response　surface　methodology　(RSM)　was　applied　to　optimize　the　longitudinal　fin　by　maximizing　its　melting　rate.　Results　demonstrate　same　heat　transfer　capacity　at　the　fin　angles　O　and　O1(O1　=　90　-　O).　The　complete　melting　time　at　a　O　values　of　0　degrees　was　reduced　by　46.66%,　compared　with　a　&　theta;　value　of　45　degrees.　The　optimized　case　(O　=　0　degrees,　N　=　16　fins)　reduced　the　total　melting　time　by　62.59%.　The　melting　rate　of　the　upper　region　of　the　LHTES　unit　was　higher　than　that　of　the　lower　region　in　all　cases.　Further,　the　study　quantified　the　temperature　uniformity　of　the　system　using　mathematical　methods,　which　showed　that　the　integrated　mean　value　of　temperature　uniformity　at　a　O　value　of　0　degrees　was　the　smallest　(12.51　degrees　C),　suggesting　excellent　temperature　uniformity　at　a　rotation　angle　of　0　degrees.