AmoregeneralmodeldescribingPCMclose-contactmeltingoutsideahotsphereisdevelopedwiththeaidofintroducingaparamterαandpresentingasupplementaryequationforthefirsttimeinthispaper.Thegoverningintegral-differentialequationsaresolvedbynumericalmethod.Themelt-filmthicknessvariationalongthesurfaceofsphereisobtainedreasonablyduetotheconsiderationoftheinterfaceshapemoreprecisely,ThecalculationresultesofPecletnumber,heattransferredandpressuredistributionarealsocomparedwiththatinliterature,Themodelpresentedinthispapercandescribethewholeclose-contactregionandthewholecontactmeltingprocess.Close-contactmeltinginsphericalorcylindricalcapsulestowhichthemodelcanbeextendedisalsodiscussedbriefly.
