The main objective of this project is to apply Long Short Term Memory (LSTM), a recurrent neural network (RNN) algorithm to analyze an inverse heat conduction problem with phase change. The inverse heat conduction problem is associated with the manufacturing process of micro-encapsulated phase change particles (MEPCM) for high temperature applications. These particles are composed of a metallic or alloy core, and a glassed based shell. The final dimension of the particles in particular the core to shell ratio is of great importance to the performance of the particles when used for thermal energy storage applications. We are interested in obtaining the size of the particles during a process called Flow Mold Casting (FMC). During the FMC process, the concentric cylindrical microwire with a metal core and glass shell is melted by high power pulsating laser to form encapsulated particles. As opposed to a standard heat conduction problem with well-defined boundary conditions and initial condition, from which we can solve for the temperature distribution, the surface condition of the particle, the dimension of the particles, and the melting state of the particles during this process is challenging to obtain, therefore, making the mathematical problem ill-posed. To compensate the lack of information, the temperature change of the particle over certain time interval may be measured using a high speed thermal camera, which is called the cooling curve. We attempted to obtain the dimension of the MEPCMs based on the cooling curve with the help of LSTM model. In a previous study supported by MGHPCC and NorthEast Cyberteam, a numerical model that represents this manufacturing process was developed and verified in OpenFOAM. The numerical model can calculate the cooling curve of MEPCM particles for a wide range of material properties, diameter, core to shell ratios and surface conditions. The output of the numerical model will be used to generate training data for the machine learning model. Since the process is time dependent and cooling curve reflects the temperature change with time, we use LSMT, a recurrent neural network model, to identify the diameter of the core and the core to shell ratio. The testing data will be provided by the numerical model in OpenFOAM.