Abstract
The exact solution for solidification of an alloy by a line heat sink in the presence of convection has great interest in several engineering applications. The current article presents an exact solution for the solidification of a one-dimensional moving boundary problem in a semi-infinite medium with cylindrical symmetry in the presence of convection. The analysis is concerned with extended freezing temperature range between solidus and liquidus temperatures respectively. The solid fraction is considered to have a linear relationship with temperature in the mushy zone. A direct integration method is used to solve the mathematical model. To illustrate the application of current study numerical example is presented. In addition, the temperature distribution in each region and position of moving interfaces are evaluated for different Peclet number. Both eutectic and solid solution alloys come under the application of current study.
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