Two-phase modeling of magnetic nanofluids jets over a Stretching/shrinking wall

The problem of magnetic nanofluids discharged over a stretching/shrinking wall is studied. Nanoparticles migration is subjected to significant slip mechanisms, Brownian motion and thermophoresis. Boundary condition for nanoparticles transport equation follows the steady state sense. In addition, energy equation is subjected to a convective boundary condition. For the momentum equation, it is shown that an imposed moving wall condition together with a transverse magnetic field suffices to obtain e-jet Glauert type solutions, in particular leading to dual solutions being connected to the stretching/ shrinking wall. A perturbation solution established for large magnetic parameters provides an immediate analytic insight to the nature of the momentum problem. The influence of the involved parameters on the evolution of velocity and temperature fields are shown graphically.