Entropy generation of MHD micropolar nanofluid past an exponentially stretching plate with higher order power-law slip model

•A novel slip model is proposed based on power-law angular velocity.•A new CSM code is developed for MF boundary layer problem.•Ignoring the proposed condition underestimates temperature and concentration.•Nonlinear relation of entropy generation and viscous dissipation is discovered.•Dual directional heat and mass transfer are revealed.