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Modeling results are presented for the laminar flow and heat transfer within a circular tube connected coaxially with a d.c. arc plasma torch. In order to determine the correct boundary conditions at the tube inlet, the computational domain is extended to include both the circular tube and the arc plasma torch. Computational results show that the gas static-pressure in the tube increases at first and then decreases slowly, while the heat flux to the tube wall decreases monotonically with increasing distance from the tube inlet. Comparison of some computed results with corresponding experimental data is also given.