In this paper, a novel approach of electric arc cooling with the presence of two different types of splitter plates, in an arc chamber direct current circuit breaker (DCCB) that has equal dimensions, has been carefully investigated. In order to determine the thermal behavior of the arc chamber, which plays a key role in extinguishing the electric arc, different current densities are applied to the circuit breakers. As more as, a 2D model of the arc chambers was suggested that could progress the overall performance of this circuit breaker. The eligible multi-physics contained electromagnetic physics, heat transfer physics, and Navier-Stokes physics (MHD) are evaluated in the model to precisely analyze the collisions and the thermal flux distribution in detail. The model was designed and solved using COMSOL Multiphasic. By considering these mentioned effects, it is shown via the multi-physics finite-element analysis (MPFEA), that the performance of the device will be progressed.