Abstract
To control the complicated rheological behavior of fluid models, several mathematical approaches have been established. Empirical, statistical, iterative, and analytical approaches are used to study such mathematical models. Consequently, this paper provides an analytical analysis and assessment of the Laplace, and Sumudu transforms for the unsteady MHD flow prediction of a second‐grade hybrid nanofluid in a rotating frame. The mathematical model is built using a nonfractional technique with ramping conditions. To explore the velocity field and heat transfer, we used Laplace and Sumudu transforms to uncover the unseen characteristics of magnetized second‐grade hybrid nanofluid flow. For the purposes of comparison, a graphical picture is given that represents successful outcomes in the literature for the first time. In conclusion, numerical simulations show that the derived outlines of velocity and temperature fields using Sumudu and Laplace transformations correspond well. In addition, the variation of velocity of fluid against time is reported for ramped wall temperature, while it is constant for isothermal wall temperature.