A numerical analysis is carried out in this study in order to understand the flow field and the associated temperature separation in a Ranque-Hilsch vortex tube. A three dimensional computational fluid dynamics model, using ideal gas compressible flow assumptions, is employed to predict the performance of a vortex tube. The standard k-epsilon CFD turbulent model is adopted in this study. The study focuses on an insulated counter flow vortex tube with four tangential inlet streams, one axial hot outlet stream and one axial cold outlet stream. The study shows that one can numerically predict the behaviour of energy separation using ideal gas assumption. The numerical study shows that with an adapted vortex tube size a maximum temperature separation is achieved at optimum pressure value of 4 bar. For insulated tube, as tube length increases, the energy separation increases until it approaches an asymptote value. An optimum diameter exist where energy separation reach maximum value.