This study is concerned with the simulations of impacts of Hall and ion-slip effects on the transient hydromagnetic convective flow of Titanium oxide-engine oil (TiO2-EO) second-grade nanofluid over a permeable vertically oriented surface. The flow considered originated due to the buoyancy action, rotatory fluid action and oscillatory free-stream motion. The tractable mathematical model of the fluid flow problem (flow governing equations) is obtained from field and constitutive equations under the boundary layer approximation. An analytical solution of the mathematical model is obtained with the aid of a perturbation solution scheme. Two physical cases of interest are considered, namely, the case of non-resonance and the case of resonance. The significance of impacting flow parameters to the flow is measured graphically by computation of solution in the non-resonance case. An important feature of the flow explored from the study is that both the Hall and ion-slip effects tend to stabilize the principal flow due to the revolution of ions and elections about a robust applied magnetic field. The Hall effect destabilizes the secondary flow. The consequence of the ion-slip current on the secondary velocity is opposite to that of the Hall current because of the heavier mass of ions in comparison to the electrons. When the time is very small, the principal velocity grows for the incremental values of oscillation frequency. This effect reverses as time progresses. The behaviour of the normal velocity for the oscillation frequency is exactly opposite to that of the principal velocity.
Mathematics Subject Classification (MSC): 76A05, 76A10, 76U05, 76W05