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Based on the thermo-physical properties of plasma air, the temperature and flow fields of an insulator–arrester with a multi-chamber system are investigated using three-dimensional computational fluid dynamics. The plasma flow is assumed to be steady incompressible laminar flow and in local thermodynamic equilibrium. The results obtained show that the arc inside the chamber bends downwards, indicating that the Lorentz force induced is directed away from the exit and pushes plasma air down. The outlet also provides passage for plasma flow both in and out of the chamber.