The numerical investigation of lowly oscillating magneto viscous flow above a non electrically conducting heated rotating disk subject to vertical motion of the disk(both upward and downward movement) is performed.   The ferronanoparticles (Fe₃O₄) is incorporated into the fluid flow  and the corresponding ferrohydrodynamic equations of motion along with the magnetization equation are framed using Shliomis theory. This pumping flow problem governed by partial differential equations are regenerated as non linear ordinary differenatial equations using von Karman similarity procedure. The computational analysis based on finite difference collocation method was utilized to obtain numerical values of fluid motion components.  It was found that the vertical movement of the disk with its parameter shows an increasing velocity and temperature profile. Moreover, the increase of ferrofluid concentration with respect to the magnetization parameter has a positive impact on reduced skin friction along tangential direction and heat transfer coefficient.