This analysis is interested in the dynamic flow of incompressible triple diffusive fluid flowing through a linear stretched surface. The current study simulates when Boussinesq approximation and MHD are significant. As for originality, a comparative study of all the results for opposing and assisting flow cases is provided. Lie-group transformation is utilized to determine symmetry depletions of partial differential equations. The transformed system of ordinary differential equations is solved using the Runge-Kutta shooting technique. The impacts of magnetic parameter, buoyancy ratio parameter of temperature and concentration, and Lewis number on velocity, temperature, and concentration are depicted through graphs. We observed that the magnetic field parameter decelerates in velocity distribution for both fluid flow cases. Additionally, the same phenomenon was noticed with the buoyancy ratio parameters on both salt concentration distributions. Finally, the influence of heat and mass transfer rates decreases for both fluid flow cases with an increase in Lewis number.

The MHD unsteady flow heat and mass transfer of a viscous incompressible fluid induced by a stretching surface in a rotating fluid taking the effects of thermal radiation, heat absorption and first order chemical reaction into account with convective boundary condition. The rotation parameter is found to reduce the velocities and the magnetic parameter prevents the flow reversal in the x – direction. The increasing values of Biot number generate thicker thermal boundary layers resulting in the rise of temperature. The Schmidt number and chemical reaction parameter are found to have a strong influence on the species concentration resulting in small values. The rate of heat transfer is enhanced by magnetic field, thermal radiation parameter and rotation parameter. The rotation parameter and time are observed to enhance the rate of mass transfer.

Atherosclerosis is a chronic disease caused by the accumulation of plaques on arterial walls, leading to wall damage and narrowing of vessels that supply blood to body tissues. This paper provides a computational aspect for magnetohydrodynamic (MHD), slip, and no-slip hybrid nanofluid flow through a stenosed bifurcated artery. A hybrid nanofluid containing iron oxide and gold nanoparticles suspended in blood is developed to analyze the influence of an externally generated transverse magnetic field on flow regulation. The nonlinear partial differential equations of the model are solved by employing the Galerkin finite element method, which is implemented in COMSOL Multiphysics. The impacts of magnetic field strength, slip and no-slip boundary constraints, and nanoparticle concentration affect velocity, pressure, and thermal distributions. The results indicate that the presence of magnetic field suppresses velocity fluctuations and stabilizes flow, while the hybrid nanoparticles enhance heat transfer and promote smoother uniform velocity profiles. This slip boundary condition significantly reduces wall shear stress compared with the no-slip constraint and allows for more physiologically realistic flow. With respect to the MHD and hybrid nanoparticles, the recirculation zones are further suppressed, resulting in the recovery of flow symmetry. Biomedical applications of gold and iron oxide nanoparticles are categorized into three main areas: targeted drug delivery field, localized hyperthermia, and improved therapy for arterial diseases such as atherosclerosis and thrombosis.

In this analysis, the stagnation flow conversion problems have been studied for mixed convection heat and mass transfer with electrical magneto hydrodynamic (EMHD) field over stretching sheet by considering nano particles. The physical phenomena varied which depended on various parameters. The important energy conversion parameters are S₀, E, Gt, Gc, Pr, Sc, Ncc, S and δ have constituted the dominance of the electric effect, mixed convection effect, heat, heat transfer effect, mass diffusion effect, heat conduction-convection effect and slip boundary effects, respectively. The similarity transformations and a Runge-Kutta Fourth order method are utilized to investigate the present thermal energy conversion problem. The non-linear ordinary differential equations of the corresponding flow field momentum, temperature, concentration equations and plate sheet heat conduction equation are obtained by availing the similarity transformation technique.

An analysis has been made to study the heat and mass transfer of an unsteady flow of a viscoelastic fluid over a stretching sheet in the presence of chemical reaction and suction parameter. The basic governing equations of the flow which are in the form of partial differential equations have been reduced to non linear ordinary differential equations by applying similarity transformations. The transformed equations are further solved by employing Runge-Kutta fourth order method along with shooting technique, Numerical results for velocity, heat and mass transfer rate are discussed graphically for different parameters.