It has been found that the classical XY model with angular momentum conserving Langevin dynamics mimics a non-Newtonian soft matter when subjected to counterrotating boundaries. There are other ways to model the situation. Heisenberg model can give a precise model to obtain the flow regimes for 2D rotor with counterrotating boundaries. These flow regimes can be obtained by writing Langevin equation with the concerned Hamiltonian and obtaining the position time-graph for the spin rotor.