The　precise　fluid　and　gas　energy　flow　equations　(FEFEs)　are　difficult　to　formulate　due　to　the　uncertain　parameters.　This　paper　proposes　a　data-driven　approach　to　fit　the　FEFEs　by　polynomial　functions　through　experimental　data.　Furthermore,　a　convex　optimization　model　is　set　up　to　find　the　solution　of　the　FEFEs,　and　a　tight　reformulation　is　proposed　to　exactly　reformulate　the　proposed　model　as　a　second-order　cone　programming　(SOCP)　that　can　be　tractably　solved.　Numerical　results　on　several　test　systems　show　the　effectiveness　of　the　proposed　method.　©　1969-2012　IEEE.