The　high　Reynolds　number　k-Ε　model　and　wall　function　method　were　applied　to　compute　numerically　the　turbulent　heat　transfer　characteristics　of　liquid　sodium　flow　in　a　cylinder　tube.　The　numerical　results　are　in　good　agreement　with　some　experimental　results　in　open　literatures.　Meanwhile,　the　effects　of　turbulence　and　heating　conditions　on　the　heat　transfer　characteristics　of　liquid　sodium　were　studied　by　applying　this　method.　The　analysis　results　indicate　that　the　influence　of　the　turbulence　is　mainly　reflected　in　the　forepart　of　the　tube.　As　the　molecule　diffusion　effect　plays　a　more　important　role　in　the　middle　and　posterior　part,　the　heat　transfer　difference　between　different　turbulence　flows　reduces　gradually.　The　initial　temperature　and　heat　flux　have　little　effects　on　heat　transfer　characteristics.