The focus of this paper is to examine the heat and mass transport behavior of transient magnetohydrodynamics second-grade fluid (elastico-viscous fluid) flow within a vertical channel bounding the porous regime with the Hall phenomenon and induced magnetic field (IMF).The flow system consists of a strong transverse magnetic field that gives rise to the Hall phenomenon and IMF. The right vertical surface of the channel is conducting and oscillations in its plane in the vertical direction while the left vertical surface of the channel is nonconducting and stationary. The suitable dimensionless setup transforms the flow model into a simplified comparable model which is solved analytically with the assistance of the method of separation of variables. Numerical computation is performed with the aid of MATHEMATICA software to explore the results from the analytical solutions. The results of the investigation are helpful in analyzing the nature of the elastic-viscous fluids. A noteworthy result noted from the investigation is that there appears a reverse flow in the direction of normal flow when the magnetic interaction parameter is large. For the small magnetic interaction parameter, such a flow is not seen. Hall current reduces the strength of the principal IMF and

The main goal of this presentation is to scrutinize the flow behavior of transient hydromagnetic Ti6Al4V-H2O-based nanofluid flow within a symmetric channel bounding a uniform porous medium with induced magnetic field and Hall current effects. The nanofluid is assumed to be partially ionized and its flow is influenced due to the presence of a strong transverse applied magnetic field domain. Due to this reason, induced magnetic field and Hall current impacts are focused in this study. The right surface of the channel is considered to be magnetized and oscillating vertically while the left surface is non-magnetized and stationary. The flow model is transformed to a similar model by the use of dimensionless transformations and leading resulting equations are solved analytically with the aid of variable separable method. The results are demonstrated with the assistance of Mathematica software and also validated with the existing results in the literature. This study is significant in analyzing the flow nature of highly electrically conducting nanofluids. An important flow characteristic observed from this study is that by increasing the volumetric concentration of nanoparticles in the fluid, the induced magnetic field is increased due to the rise in electrical conductivity of the fluid. Furthermore, the Hall current and magnetic diffusion brings a significant decrement in induced magnetic field along the main flow.

The key attention of this paper is to explore the heat and mass transport in oscillatory hydromagnetic Titanium alloy water nanofluid flow within two vertical alternatively non‐conducting and conducting walls enclosing Darcy‐Brinkman porous medium. Motional induction is considered because it is sufficiently strong in comparison to Ohmic dissipation. Hall phenomenon is considered because the electromotive force induced due to revolving of fluid particle about the magnetic field lines is significant. Suitable physical laws (constitutive and field equations) are used to derive the equations leading the flow model. An analytical approach is followed to extract the solutions of the flow model. The quantities of physical interest such as wall shear stress (WSS), rate of heat transport rate (RHT) and rate of mass transport rate (RMT) at the walls are obtained from the extracted solutions. The physical insight into flow manners is discovered from the graphs and tables generated from the numerical computation of the solutions. It is important to note from the study that the volume concentration of nanofluid and magnetic diffusion produce resistivity in the flow and tends to slow down the fluid flow. Magnetic diffusion weakens the strength of the primarily motional induced magnetic field.