We　present　a　fully　coupled　model　for　the　traveling　heater　method　(THM)　under　microgravity　conditions　and　a　rotating　magnetic　field　(RMF)　and　apply　it　to　analyze　the　growth　of　cadmium　zinc　telluride　(CZT).　The　model　provides　a　self-consistent　representation　of　fluid　flow　and　heat　and　mass　transfer　in　a　liquid　zone　shaped　by　dissolution　and　growth　interfaces　that　are　computed　to　satisfy　local　transport　and　thermodynamic　equilibrium　conditions.　The　temperature,　stream　function,　tellurium,　and　zinc　profiles　in　the　liquid　are　analyzed　with　and　without　the　rotating　magnetic　field.　Results　show　that　the　system　is　very　sensitive　to　the　growth　rate　under　microgravity　alone,　leading　to　tellurium　accumulation,　a　concave　growth　interface,　and　constitutional　supercooling　at　faster　growth　rates.　While　RMF-induced　convection　mixes　the　zone,　creates　a　more　uniform　composition,　and　makes　the　microgravity　system　less　sensitive　to　growth　rate　variations,　RMF　can　also　lead　to　undesirable　outcomes.　In　particular,　for　stronger　RMF　fields,　flows　are　driven　inward　along　the　growth　interface,　and　the　resulting　accumulation　of　tellurium　near　the　centerline　results　in　localized　interface　concavity　and　liquid　supercooling.　The　mechanisms　behind　the　above　phenomena　are　clarified,　and　some　advice　is　provided　for　applying　the　RMF　appropriately　to　THM　CZT　growth　under　microgravity　conditions.　(C)　2016　Elsevier　B.V.　All　rights　reserved.