Fuzzy volume fraction model representation of blood-based sisko tri-hybrid nanofluid flow via a stretching cylinder

Abstract

A modified variant of Buongiorno's model was used to analyze the transfer of a ternary hybrid nanofluid (thnf) across a stretched cylinder using the Sisko fluid model. The effect of homogeneous-heterogeneous reactions on the chemical process for the nanoparticle concentration is considered. The dispersion has resulted in the formation of a ternary hybrid nanofluid consisting of titanium dioxide (TiO₂), gold (Au), and silver (Ag) nanocomposites in a base fluid (blood). A system of partial differential equations (PDEs) determines the fluid flow, considering the impact of a heat source, magnetic induction, and natural convection. The process involves using substitutions for similarity variables to convert them into a collection of non-dimensional ordinary differential equations (ODEs). This analysis specifically examines the no-slip assumption, which results in a nonlinear Dirichlet boundary condition for axial velocity. A triangular fuzzy number (TFNs) with the range [0, 0.5, 1.0] is used to analyze the unknown volume of ternary hybrid nanoparticles consisting of TiO₂, Au, and Ag. The triangular membership function (TMF) is utilized to analyze the variability of uncertainty, while the α− cut is responsible for controlling the TFNs. Analysis of fuzzy linear regression analysis utilizes triangular fuzzy numbers (TFNs) to ascertain the central (crisp), left, and right values of the fuzzy velocity profile. The study's findings and the fuzzy velocity profile exhibit the highest flow rate when compared to the crisp velocity profile at its midpoint. Material, curvature, and magnetic field parameters determine the velocity field of the reaction in ternary hybrid nanofluid (TiO₂+ Au +Ag)/Blood), hybrid nanofluid (TiO₂+ Au /Blood), and nanofluid (TiO₂/Blood). The curvature parameter and magnetic field parameter influence the heat conduction of the reaction in thnf, hnf, and nanofluid. The Schmidt number and homogeneous-heterogeneous reaction parameter determine the concentration profile of the reaction in thnf, hnf, and nanofluid. Tables and graphs present the evaluation results for velocity, temperature, concentration, the coefficient of skin friction, the local Sherwood number, and the local Nusselt number.