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Melting by moving heat source and Fluid flow inside liquid region

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Initially, I solved heat equation with phase change module for stationary and moving heat source and able to track the solid and liquid regions and for the next step I would like to simulate fluid flow inside the fluid domain (not in solid) initiated by Marangoni convection, buoyancy flow and pressure. In my case, my domain changes from solid to liquid and investigating fluid motion in liquid part. This is the point I got stuck. Do you have any suggestions?

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