Abstract
We have studied numerically the vortex tangle under both counterflow and attending of mutual friction by using local-induction approximation model (LIA). We find that the vortex lines are grown by the effect of normal fluid velocity in the existence of mutual friction. Many numerical experiments are performed to calculate the vortex filaments development in superfluid helium II. We explained how the total length density, the number of vortex points, the velocity, reconnection events and average inverse radius of curvature are affected by both counterflow and temperature. We find that the vortex rings extend fast and the helical disturbances of vortex tangle increases as long as the temperature increases. The cubic box with periodic boundary conditions is employed for all our numerical simulations.