Based　on　the　magnetohydrodynamics　model,　this　study　numerically　investigated　the　influence　of　a　transverse　non-uniform　magnetic　field　on　the　flow　and　heat　transfer　characteristics　of　molten　salt　in　a　conductive　pipe.　The　magnetic　field　was　constructed　with　three　sections　including　gradient　and　uniform　regions,　which　was　fitting　to　real　application　of　the　magnetic　field.　The　flow　and　heat　transfer　of　molten　salt　were　studied　within　the　ranges　of　0　≤　Ha　≤　200　and　3000　≤　Re　≤　12　000.　The　results　indicated　that　variation　of　magnetic　field　had　significant　effects　on　the　flow　velocity,　turbulent　intensity,　and　Joule　heat,　thus　influencing　the　temperature　and　the　Nusselt　number　of　molten　salt.　Although　the　flow　in　core　region　was　suppressed　by　the　magnetic　field,　the　flow　velocity　was　enhanced　and　turbulence　was　reduced　near　the　pipe　wall,　which　was　shown　obviously　different　within　three　regions　of　the　magnetic　field.　An　interesting　phenomenon　of　local　heat　transfer　enhancement　with　increasing　magnetic　intensity　was　observed　in　the　first　section　of　the　magnetic　field,　which　was　from　the　complex　effects　of　flow　velocity　and　turbulence.　In　addition,　the　Joule　heat　was　calculated　and　analyzed　to　determine　its　influence　on　heat　transfer　under　the　magnetic　field.　A　detailed　analyzation　of　magnetic　fluid　flow　in　this　study　was　provided　to　hopefully　promote　the　molten　salt　in　real　application　of　flow　and　heat　transfer.　©　2024　Author(s).