The　interaction　between　the　fluid　and　particles　is　the　key　to　obtain　accurate　flow　and　heat　transfer　rules.　For　a　reactive　particle,　the　Stefan　flow　will　affect　the　mass,　momentum,　and　energy　transfer　between　the　particle　and　the　fluid.　The　Stefan　flow　on　the　coal　particle　surface　cannot　be　neglected　in　supercritical　water　gasification　technology.　In　this　paper,　the　influence　of　different　Stefan　flow　intensities　on　the　drag　coefficient　(Cd)　and　the　Nusselt　number　(Nu)　of　supercritical　water　(SCW)　cross　flowing　around　a　fixed　spherical　particle　with　Re　in　the　range　of　10-200　is　studied;　at　the　same　time,　the　velocity　and　temperature　boundary　layers　and　the　flow　field　around　the　particle　are　analyzed.　For　the　influence　of　the　dramatic　change　of　the　thermophysical　properties　of　SCW　near　the　pseudo-critical　point,　simple　analysis　of　the　drag　coefficient　and　heat　transfer　of　the　particle　with　Stefan　flow　is　conducted.　The　results　show　that　with　the　increase　in　Stefan　flow　intensity,　Cd　and　Nu　decrease　and　the　thickness　of　velocity　and　temperature　boundary　layers　increases.　A　model　of　the　particle　with　Stefan　flow　is　constructed,　and　the　Cd　and　Nu　correlation　formulas　of　the　particle　with　Stefan　flow　are　obtained.　©　2021　Author(s).