A scientific report on Stokes' second problem for a transient nanofluid model with a heated boundary in the presence of a magnetic field

•Stoke’s second problem is considered for heat transfer investigation.•The steady MHD nanofluid flow through a porous plate is assumed.•Copper as a nanofluid particle and water, as well as ethylene glycol as base fluid particles are chosen.•The fluid flow dynamics are modeled in nonlinear PDEs.•Analytical simulations are performed via the Laplace transform method.•It is demonstrated that EG-Cu nanofluid has a greater heat transport rate than water-Cu nanofluid.