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Transient MHD flow in Carreau–Yasuda nanofluid produced by impulsively started rotating disk is examined in the occurrence of Darcy–Forchheimer and chemical reactive species considering conventional Fourier's and Fick's laws. Appropriate transformations are used to transform the constitutive equations into nonlinear ordinary differential equations and then solve by using improved form of RK-4 Fehlberg scheme (Cash and Karp). The deviation in flow field due to velocity, friction factor, temperature, heat diffusion rate, nanoparticle concentration, and mass transfer rate is analyzed subsequent to various ambient parameters appearing in the problem. The results of the study reveal that Weissenberg number appearing in the equations leads to deceleration of the radial and tangential velocities while the power law index tends to accelerate the radial and tangential velocities. [ABSTRACT FROM AUTHOR]