Abstract

In this study, the effects of variable characteristics amalgamated with chemical reaction and Arrhenius activation energy are analyzed on a two-dimensional (2D) electrically conducting radiative Casson nanoliquid flow past a deformable cylinder embedded in a porous medium. The surface of the cylinder is deformable in the radial direction i.e., the z-axis. The impression of Soret and Dufour's effects boosts the transmission of heat and mass. The flow is analyzed numerically with the combined impacts of momentum slip, convective heat, and mass conditions. A numerical solution for the system of the differential equations is attained by employing the bvp4c function in MATLAB. The dimensionless protuberant parameters are graphically illustrated and discussed for the involved profiles. It is perceived that on escalating the velocity slip parameter and porosity parameter velocity field depreciates. Also, on escalating the radiation parameter and heat transfer Biot number a prominent difference is noticed in an upsurge of the thermal field. For growing values of Brownian motion and thermophoretic parameters, temperature field augments. On escalating the curvature parameter and porosity parameter, drag force coefficient upsurges. The outcome of the Soret number, mass transfer Biot number, and activation energy parameter is quite eminent on the concentration distribution for the sheet in comparison to the deformable cylinder. A comparative analysis of the present investigation with an already published work is also added to substantiate the envisioned problem.

Highlights

  • In this study, the effects of variable characteristics amalgamated with chemical reaction and Arrhenius activation energy are analyzed on a two-dimensional (2D) electrically conducting radiative Casson nanoliquid flow past a deformable cylinder embedded in a porous medium

  • The numerical solution for radiative Casson nanofluid flow with variable characteristics incorporated with chemical reaction and Arrhenius activation energy has been obtained past a deformable cylinder

  • A decreasing trend is noticed in the velocity field for fluctuation in the Casson fluid parameter, velocity slip parameter, and porosity parameter

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Summary

Numerical procedure

The solution of the system of highly nonlinear differential equations can be obtained by numerous analytical, exact, and numerical ­procedures[10,13,56,60,61,62,63,64,65,66,67,68,69,70,71]. The impression of sundry on the velocity of the fluid, transmission of heat, and mass are shown graphically in such a manner that solid lines correspond to a deformable cylinder and www.nature.com/scientificreports/ Figure 2. Growing values of escalates the kinematic viscosity of the fluid. This accelerates the resistance in the system. For growing values of Nb collision among the fluid particles increases due to which more heat is generated. On escalating Df concentration gradient enhances, whereas, temperature gradient decreases which results in heat transmission. Deteriorating nature is exhibited by φ(ζ ) on boosting Sc. Figure 14 is drawn to elucidate the upshot of dimensionless chemical reaction parameter δ on φ(ζ ).

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