This paper numerically investigates the CO₂ hydrate formation inside a cylindrical porous core when convective heat transfer takes place through lateral surfaces. Core is immersed inside a constant temperature bath. Overall 85min. of CO₂ injection is simulated and results are studied to investigate behavior of hydrate formation pattern, temperature distribution and aqueous phase migration. Governing equations are solved simultaneously using Newton's Raphson method as they are coupled and nonlinear. It is predicted from this study that temperature and hydrate saturation fields transitions through distinct patterns during injection period of 85min. Aqueous phase saturation patterns show nearly 1D behavior but some deviation is observed at later stages. Hydrate formation rate increases for initial 60min due to increase in reactive surface area and then reduction is followed as availability of water reduces. Diverse temperature field is observed during injection due to strong dynamics of hydrate formation and heat dissipation.