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a \ufffd\ufffd m a \ufffd D Vol\ufffd\ufffd\ufffd No\ufffd\ufffd \ufffd\ufffd\ufffd\ufffd \ufffd \ufffd \ufffd a \ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd \ufffd ACTA METALLURGICA SINICA Mar\ufffd \ufffd\ufffd\ufffd\ufffd pp\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd \ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd \ufffdm\ufffd \ufffd\ufffd\ufffdyw\ufffd\ufffd \ufffd B\ufffdA D\ufffdE F \ufffd C \ufffd \ufffdh\ufffdTx\ufffd\ufffd\ufffd\ufffd\ufffdx\ufffd\ufffdt\ufffd \ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd \ufffd \ufffd \ufffds\ufffdg\ufffdNF\ufffddOWju\ufffdNn\ufffdE\ufffd\ufffdK\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffdD\ufffdD\ufffd\ufffd\ufffdj\ufffd\ufffdR\ufffdS\ufffd\ufffd \ufffd\ufffdxN\ufffd\ufffd\ufffd\ufffd \ufffdGJ\ufffd\ufffdZ\ufffdD\ufffdCI\ufffdj\ufffd\ufffd\ufffdNuZ\ufffd\ufffd\ufffd u\ufffdNn\ufffdu\ufffdo\ufffd\ufffd \ufffd j\ufffd \ufffd\ufffdX\ufffd G \ufffd q\ufffdB\ufffd \ufffd\ufffdx X\ufffdu\ufffd\ufffdN\ufffdg\ufffdNF\ufffduZ\ufffd\ufffd\ufffdu\ufffdNn\ufffd\ufffd \ufffdf\ufffdKSu\ufffd\ufffdhU nG\ufffdD \ufffd\ufffd\ufffd\ufffd \ufffd\ufffdv \ufffdg\ufffdNF\ufffd\ufffdu\ufffd\ufffd\ufffd\ufffdx\ufffddO\ufffd \ufffd\ufffd\ufffd\ufffd\ufffd\ufffd TG\ufffd\ufffd \ufffd \ufffd p!" A \ufffd#o\ufffd \ufffd\ufffd\ufffd\ufffd\ufffd\ufffd \ufffd\ufffd\ufffd\ufffd\ufffd\ufffd \ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd STUDY OF INCREASING THE SWIRLING FLOW IN A CENTRIFUGAL FLOW TUNDISH BY USING BENDING NOZZLE LI Baokuan\ufffd QI Fengsheng\ufffd WANG Fang\ufffd LIU Jie School of Materials and Metallurgy\ufffd Northeastern University\ufffd Shenyang \ufffd\ufffd\ufffd\ufffd\ufffd\ufffd Correspondent\ufffd LI Baokuan\ufffd professor\ufffd Tel\ufffd \ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd E\ufffdmail\ufffd lbk\ufffd\ufffd\ufffd\ufffd\ufffd \ufffd\ufffd\ufffdcom Supported by National Natural Science Foundation of China \ufffdNo\ufffd \ufffd\ufffd\ufffd\ufffd\ufffd\ufffd \ufffd Manuscript received \ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd in revised form \ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd ABSTRACT Upon the problem that the swirling ow in centrifugal ow tundish is not enough the present work searches a way which can reinforce the swirling ow in rotation chamber without the application of external energy and power\ufffd The way is to change the height potential of molten steel in ladle into the horizontal out ow kinetics by using the bending nozzle\ufffd The physical and mathematical models have been developed to verify that the swirling ow can be reinforced and the increment of maximum velocity exceeds \ufffd\ufffd of the original velocity produced only by the magnetic \ufffdeld application\ufffd KEY WORDS centrifugal ow tundish swirling ow bending nozzle electromagnetic force \ufffd\ufffdtYN\ufffdVi\ufffd\ufffdf\ufffdME t\ufffdv\ufffd\ufffdL\ufffd \ufffd\ufffdMiki\ufffd\ufffd \ufffd\ufffd\ufffd \ufffd\ufffd\ufffd\ufffdi\ufffd\ufffd\ufffdetYcN\ufffdr\ufffd\ufffd MA\ufffdO\ufffd\ufffd\ufffd\ufffdn\ufffd\ufffd\ufffdMG\ufffdJ\ufffd \ufffd \ufffd\ufffd\ufffd kg \ufffdM E \ufffd\ufffd\ufffd\ufffd\ufffd am\ufffd\ufffd\ufffd\ufffd\ufffdW uUA\ufffdOO\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd \ufffd\ufffdZW\ufffdHoZ\ufffd\ufffd\ufffd \ufffd\ufffd \ufffd Miki\ufffd\ufffd \ufffd\ufffd\ufffd aC\ufffd\ufffdf ME \ufffd\ufffdL\ufffd\ufffd\ufffd\ufffd\ufffd\ufffdJ\ufffd\ufffd\ufffdC\ufffd \ufffd\ufffd\ufffd \ufffd\ufffd\ufffdf\ufffd \ufffd\ufffdLj \ufffd\ufffd\ufffd\ufffd \ufffd\ufffd\ufffdA\ufffdO\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd t\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffdyE\ufffd\ufffdPtD\ufffdtY\ufffd\ufffd\ufffd\ufffd\ufffdt \ufffdMmr\ufffdf\ufffdME \ufffdA\ufffdOYJH\ufffd\ufffdI\ufffdi\ufffd\ufffd K\ufffd\ufffdmH\ufffd\ufffd\ufffd\ufffdf\ufffdME \ufffdv\ufffdm\ufffd\ufffd\ufffd\ufffd\ufffdMG K\ufffd \ufffdUC JFE \ufffd\ufffd\ufffd\ufffd \ufffd\ufffd\ufffdv\ufffd\ufffd!\ufffd\ufffd\ufffdP\ufffd\ufffdb "\ufffd\ufffdJ\ufffdr\ufffdB\ufffd\ufffd\ufffd\ufffd K\ufffdJ\ufffd\ufffd\ufffdcNVit \ufffdb#\ufffd\ufffdt\ufffdMm\ufffdD\ufffd\ufffdJ\ufffd\ufffd \ufffdBc$sy\ufffd\ufffd n\ufffd\ufffd\ufffd\ufffd\ufffd%\ufffd!V & \ufffd\ufffd\ufffd \ufffd\ufffd\ufffd\ufffd !\ufffdG\ufffdbE \ufffd \ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd\ufffd !\ufffdq\ufffd\ufffdbE \ufffd \ufffd\ufffd\ufffd\ufffd\ufffd\ufffd \ufffd\ufffd\ufffd j"G\ufffd \ufffd '\ufffd\ufffd\ufffd(\ufffd \ufffd \ufffd\ufffd )w\ufffdS"\ufffd # \ufffd\ufffde$\ufffd%\ufffdi&\ufffd#'F\ufffd*\ufffdA\ufffd\ufffd\ufffd\ufffd$C \ufffdC+\ufffd\ufffdi\ufffd\ufffdQ R\ufffdt\ufffd\ufffd(%wM\ufffd \ufffd\ufffd\ufffd\ufffd FI)+Y!C%BH\ufffdi+\ufffd$MtY\ufffd\ufffd\ufffd\ufffdt\ufffd Mm\ufffd*y!q Tsai \ufffd\ufffd \ufffd\ufffd\ufffd \ufffd Lowry \ufffd\ufffd \ufffd\ufffd\ufffd \ufffdz w"\ufffdi\ufffd\ufffde\ufffdfME \ufffdcL#\ufffd#,i+\ufffd\ufffd%M \ufffdfME \ufffd&$\ufffdn\ufffd \ufffd $%&'( \ufffd\ufffd\ufffd\ufffd iM\ufffdtY\ufffd\ufffd\ufffdt\ufffd+\ufffdtY\ufffd- \ufffd\ufffd *tYN\ufffdVit\ufffd\ufffd \ufffd(%wHwL\ufffdFi+\ufffdv\ufffd\ufffd %\ufffdi\ufffd\ufffd'IS(+)*\ufffdf\ufffdME \ufffd \ufffd\ufffd\ufffd m"% #\ufffd\ufffd.\ufffdmgStR \ufffd\ufffd\ufffd m\ufffd (%w\ufffddC \ufffd\ufffd mm \ufffd \ufffdv/te\ufffd\ufffd\ufffd%\ufffdi\ufffd\ufffdR++\ufffd\ufffd\ufffdA\ufffd\ufffd\ufffd\ufffdF I)+\ufffdv\ufffd(%wH\ufffdr\ufffdfME \ufffdt\ufffdMm\ufffd, ,\ufffdd- \ufffd ./\ufffd \ufffd%C0iC/d&\ufffd\ufffd\ufffd-Z\ufffd'1t\ufffd\ufffdik \ufffd\ufffd$u0%\ufffd.%\ufffd%wL\ufffd1\ufffd0\ufffd- \ufffd &/t\ufffd +\ufffd(%w\ufffd%B\ufffdHkB\ufffd\ufffd\ufffd\ufffd\ufffd1\ufffdtY/H%C