Migration and heat transfer modeling of a neutrally buoyant melting particle in Poiseuille flow

A computational model is developed to simulate the hydrodynamic and heat transfer behavior of a melting cylindrical solid particle in plane Poiseuille flow between horizontal parallel plates. The two-dimensional transient conservation equations for mass, momentum, energy are solved using finite-volume scheme implemented on deforming mesh, accounting rotation non-uniform particle. An arbitrary Lagrangian–Eulerian (ALE) method employed directly track moving solid–liquid interface during migration phase change. was validated by comparison with previously reported numerical results non-melting neutrally buoyant transfer. effects Reynolds (Re), Grashof (Gr), Stefan (Ste) numbers, as well initial position across channel trajectory, rate, average Nusselt (Nu) number were investigated. It found that rate increased increasing Gr Ste decreased Re. Nu did not change more than 20% Re from 100 1000, but significantly Gr. also observed Re, migrates toward center because stronger Magnus effect. Increasing Gr, other hand, pushes bottom wall due downward adjacent induced buoyancy-driven convection (natural convection).