Numerical simulation of two‐phase flow towards a stagnation point in the Jeffrey nanofluid across a porous deformable disc with zero mass flux condition and Lorentz forces

Abstract There have been a lot of claims made in the literature recently regarding the physical characteristics of nanofluids in different flow systems, especially the laminar flow regimes. The goal of this study is to investigate the two‐dimensional laminar flow of Jeffrey liquid that describes the characteristics of heat and mass transfer towards a stagnation point over a radial moving disc through the Buongiorno nanofluid model. The study also aims to investigate the impact of mass transpiration velocity, magnetic field, and zero mass flux incorporated in a Jeffrey fluid. The study reduces complicated partial differential equations to a collection of ordinary differential equations using the similarity transformation, which makes it easier to compute dual numerical solutions using the bvp4c solver. A particular value of the shrinking parameter yields dual solutions. The findings of the current research demonstrate that the suction constraint amplifies the friction factor phenomenon in the second solution, while in the first solution, an annulment tendency is noted. Additionally, the first solution exhibits a monotonic behavior whereas the second solution shows a fall in both the friction factor and the rate of heat transfer by increasing the Deborah number. Finally, the results of this analysis with the available data matched the limiting situations very well.