A severe accident in a fast reactor can lead to melting of core. Though extremely rare, phenomenology related to severe accidents are of interest to allow placement of appropriate mitigation measures. The main vessel of a pool type reactor can be breached in case molten corium comes in contact. In order to avoid this, an in-vessel core catcher is placed to collect the molten corium, dissipate heat produced and avoid re-criticality. Core catchers can have multiple plates including sacrificial ones that can melt partially. As part of the present work, the melting of a typical sacrificial plate in a core catcher is studied. A two-dimensional numerical model with capability of capturing phase change (melting/solidification) has been developed. Especially, the effect of buoyancy driven flow within the molten material on the melt front is captured. Effect of parameters like angle of inclination and non-uniformity in heat flux is estimated and reported.