Abstract
•Von Kármán swirling flow for time-dependent Oldroyd-B nanofluid is modeled.•Aspects of relaxation and retardation times are observed.•The results are plotted and interpreted.•Analytical scheme is utilized for the computation of nonlinear systems.
In the working principle of magnetic devices, the thin film substances are the verified efficient ingredients. Several fields of physics and chemistry has taken advanced studies for the features and utilization of thin film for various aspects. Here, we extracted the features of thin film analysis for time-dependent Oldroyd-B liquid. More specifically, our emphasis is to explore transportation rate of mass/heat by considering mass/energy fluxes. Furthermore, space/temperature dependent heat source/sink are considered. Radiation aspects are taken into account for mathematical modeling of Oldroyd-B liquid. Additionally, Oldroyd-B liquid features are elaborated considering Dufour/Soret aspects. Moreover, the heated surface by convection and chemical aspects remained under consideration while designing the physical model.
Feasible variables are employed to achieve nonlinear structure. Computational analysis of such a nonlinear structure is too easy. Therefore, we have engaged numerical technique (bvp4c technique) to solve nonlinear system.
Thickness of liquid film boosts for larger rotation whereas it dwindles against magnetic parameter. Liquid concentration intensifies for Soret number. Transportation rate of mass for larger rotation parameter.
Velocity components (Radial, axial, azimuthal) rises via higher ω. Velocity of liquid increase for greater (β2) while reverse trend is detected for (β1). Temperature of liquid dwindles for heat sink (A* < 0, B* < 0) parameters while (θ(η)) rises for (A* > 0, B* > 0).