In　this　paper,　based　on　the　computational　fluid　dynamics　method,　the　k-Ε　turbulence　model　is　used　to　establish　a　steady　state　model　to　investigate　the　leakage　law　of　the　pipeline　with　a　single　leakage　point.　Starting　from　the　three　basic　information　of　leakage　port　shape,　leakage　port　area,　and　pipeline　pressure,　when　the　variables　are　changed,　we　investigate　the　change　of　the　pressure　flow　field　inside　the　leakage　port　and　the　influence　on　the　leakage　volumetric　flow　rate　of　the　pipeline.　Numerical　simulation　results　show　that:　The　shape　of　the　leakage　port,　the　internal　pressure　of　the　pipe,　and　the　area　of　the　leakage　port　all　have　influence　on　the　pressure　flow　field　inside　the　leakage　port;　the　leakage　coefficient　is　directly　proportional　to　the　area　of　the　leakage　port,　which　in　turn　introduces　the　leakage　influence　coefficient,　and　accurately　optimizes　the　discharge　formula　to　obtain　the　leakage　loss　formula　of　the　pipeline　under　different　leakage　port　shapes.　©　The　Author(s),　under　exclusive　license　to　Springer　Nature　Switzerland　AG　2024.