A passive control approach for simulating thermally enhanced Jeffery nanofluid flows nearby a sucked impermeable surface subjected to buoyancy and Lorentz forces

Abstract

Owing to the latest progression in the rheology of non-homogeneous composite media, viscoelastic materials have nowadays gained outstanding interest from experimenters because of their practical uses in different scientific areas (e.g., lubrication processing, blood vascular systems, polymer treatment, and petrochemical industry). Keeping in mind these vital applications, a realistic passive control approach has been applied in this numerical scrutinization to explore the aspects of radiating viscoelastic nanofluids during their MHD mixed convective flows nearby a sucked impermeable surface in the existence of an exponentially lessening heat generation. By invoking the constitutive rheological equations of Jeffery’s model and including the convective mass transport contribution along with the thermophoresis and Brownian diffusive mechanisms, the mathematical formulation of the flow model has been derived properly under the boundary layer assumptions. After a specific numerical treatment of the resulting boundary layer equations, several tabular and graphical demonstrations have been drawn accordingly. In this respect, it is demonstrated that Jeffery’s and Deborah’s numbers exhibit dissimilar behaviors toward the nanofluid motion and the resulting transport phenomena. As important findings, it is noticed that the convective heating and radiative heat transfer mechanisms enhance considerably the heat exchange rate with a slight weakening in the drag forces at the vertical surface. Whilst, the suction process shows an advantageous impact on these quantities of interest with a feeble perturbation in the surface temperature and nanoparticles concentration.

Keywords

• Radiating Jeffery nanofluid
• MHD mixed Convection
• Wakif’s concentration equation
• Realistic boundary conditions
• Variable heat source
• Suction effect