Nanofluid plays a substantial part in the development of numerous electronic and engineering devices at the industrial level. The current study is concerned with the improvement of heat and mass transmission for hybrid nanofluid flow upon the exterior of a rotary disc. The hybrid nanofluid flow consists of both Single as well as Multiwall carbon nanotubes (SWCNTs, MWCNTs), influenced by electric and magnetic fields. In order, to enrich the transmission for heat and mass, the effects of couple stress and Casson fluid are also included in the modeled equations. The homotopy analysis method has been employed for the solution of governing equations in dimensionless form. The percentage enhancement in the heat transfer rate has been calculated and displayed numerically and graphically. It has been established in this investigation that, hybrid nanofluids are more efficient for heat transmission in comparison to traditional nanofluids. The main findings and the impact of the embedding parameters are calculated proficiently and then discussed theoretically.