Temperature distribution in front of the liquid-solid interface in the undercooled pure melt influenced by a transverse far field flow

Mingwen Chen1,2), Zidong Wang2), Wei Yang3), Renji Sun1), and Xinfeng Wang4) 1) Applied Science School, University of Science and Technology Beijing, Beijing 100083, China 2) Materials Science and Engineering School, University of Science and Technology Beijing, Beijing 100083, China 3) Department of Mathematics, Linyi Normal University, Linyi 276000, China 4) Beijing Union University, Beijing 100101, China

摘 要：The directional solidification in the undercooled pure melt influenced by a transverse far field flow was studied by using the multiple scale method. The result shows that in the boundary layer near the liquid-solid interface, when affected by a transverse far field flow, the temperature distribution in the direction of crystal growth presents an oscillatory and decay front in the side of liq- uid phase. The crucial distinguishing feature of a temperature pattern due to the transverse convection is the additional periodic modulation of the pattern in the growth direction. The wave number and eigenvalue that satisfy the Mullins-Sekerka dispersion rela- tion are suppressed by the transverse far field flow.

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