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1. 2. 3. H.K.VersteegandM.Malalasekera Anintroduc9ontocomputa9onaluiddynamics ;,,, () (Pecletnumber) Pe = F D = u /x x ;() ;F D ;(=u);(=/x); (linear) QUICKPe < 2 Pe < 8 3 () H.K.VersteegandM.Malalasekera Anintroduc9ontocomputa9onaluiddynamics ;,,, (Ex5.1) T=1T=0x=L x=0u[m/s]condi9onu[m/s]x[m]L[m]Pe[-]10.10.210.222.50.21532.50.0511.25T T0 TL T0 = exp ux / ( )1 exp uL / ( )1 Analy9calsolu9onx ;() ; ; =1.0 kg/m3 = 0.1 kg/ms(kg/ms) Solver scalarTransportFoam Numerical scheme linear (spatial) steadyState (time) GoverningEqua9ond dx uT( )= d dx dT dx ! " # $ % & (Ex5.1) Condi9on1Condi9on2condi9onu[m/s]x[m]L[m]Pe[-]10.10.210.222.50.21532.50.0511.25T=1T=0x=L x=0u[m/s]over-andunder-shootLinear scheme (Ex5.1) Condi9on2Condi9on3condi9onu[m/s]x[m]L[m]Pe[-]10.10.210.222.50.21532.50.0511.25T=1T=0x=L x=0u[m/s]over-andunder-shootLinear scheme Solver scalarTransportFoam Numerical scheme QUICK (spatial) steadyState (time) GoverningEqua9ond dx uT( )= d dx dT dx ! " # $ % & (Ex5.4) Condi9on1Condi9on2condi9onu[m/s]x[m]L[m]Pe[-]10.10.210.222.50.21532.50.0511.25T=1T=0x=L x=0u[m/s]over-andunder-shootQUICK scheme (Ex5.4) Condi9on2Condi9on3condi9onu[m/s]x[m]L[m]Pe[-]10.10.210.222.50.21532.50.0511.25T=1T=0x=L x=0u[m/s]over-andunder-shootQUICK scheme Pe PrScPe ) Pr O 0.01( ) Pr O 1( ) Pr 7 References H. K. Versteeg and M. Malalasekera, An introduction to computational uid dynamics , ; , ,,