$$ Problem: Shrinkage $+$ convection

$$ Casting material: Aluminium

$$ Objective: Shrinkage Study

$$ Casting Shape: Rectangular

$$ Type of Simulation: $2$D

Please show every detail steps to perform this simulation in Ansys Fluent for solidification and shrinkage; In addition the following parameters are given; $$ Size: Base$=30,$ Height$=15,30$

$$ Cooling: Bottom Cooling

$$ Other walls: Adiabatic

$$ Gravity: on

$$ Density: Density as function of T $($Polynomial fun.$)$

$$ Initial Liquid Temperature $($K$)$: $973$

$$ Density of liquid and solid: No $($Not the same$)$

$$ Density$\_$L : $2666\mathrm{.}8-0\mathrm{.}2962*$T

$$ Thermal Expansion: NA

$$ Density$\_$S: $2932\mathrm{.}5-0\mathrm{.}438*$T

$$ k $($W$/$m$.$K$)$: $190$

$$ Thermal diffusivity $($m$2/$s$)$: $3\mathrm{.}309$E$-05$

$$ Solutal expansion coefficient $($wt$\%-1)$: NA

$$ Mass diffusivity $($m$2/$s$)$: NA

$$ Remarks: Use VoF

$$ Liquidus line: NA

$$ Partition Coefficient: NA