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In the present study, we explore the time-dependent convectional flow of a rheological nanofluid over a turning cone with the consolidated impacts of warmth and mass exchange. It has been shown that if the angular velocity at the free stream and the cone's angular velocity differ inversely as a linear time function, a self-similar solution can be obtained. By applying sufficient approximation to the boundary layer, the managed conditions of movement, temperature, and nanoparticles are improved; afterward, the framework is changed to a non-dimensional framework utilizing proper comparability changes. A numerical solution for the obtained system of governing equations is achieved. The effect of different parameters on the velocity, temperature, and concentration profiles are discussed. Tangential velocity is observed to decrease with an increase in the Deborah number, whereas tangential velocity increases with increasing values of the angular velocity ratio, relaxation to the retardation time ratio, and buoyancy parameter. Expansion in the Prandtl number is noted to decrease the boundary layer temperature and thickness. The temperature is seen to decrease with an expansion in the parameters of lightness, thermophoresis parameter, and Brownian movement. It is discovered that the Nusselt number expands by expanding the lightness parameter and Prandtl number, whereas it increases by decreasing the Deborah number. We also noticed that the Sherwood number falls incrementally in Deborah and Prandtl numbers, but it upsurges with an increase in the buoyancy parameter. [ABSTRACT FROM AUTHOR]

[Display omitted] • Jet flow of ternary nanofluid is considered. • Modified Buongiorno's model is used for the bioconvective flow of gyrotactic microorganisms. • Chemical Reaction is included. • Three different types of nanoparticles rGO , F e 3 O 4 , T i O 2 are suspended into H 2 O. • Thermophoresis and Brownian motion are discussed along with the nanoparticle volume fraction. A few typographical errors have been identified in our paper titled "Implementation of modified Buongiorno's model for the investigation of chemically reacting rGO - F e 3 O 4 - T i O 2 - H 2 O ternary nanofluid jet flow in the presence of bio-active mixers". This corrigendum addresses those errors however, these errors have no impact on the obtained results. [ABSTRACT FROM AUTHOR]

[Display omitted] The analysis of enhancing the heat transfer of a traditional fluid by adding nanoparticles was effectively studied by many researchers across the globe. In later stages, these nanofluids were made chemically stable by suspending an additional inert nanoparticle thus forming a hybrid nanofluid. The heat transfer characteristics of hybrid nanofluids are discussed in various aspects. Considering these studies, the heat and mass transfer characteristics of ternary nanofluid formed by suspending three different nanoparticles is analysed in this article. The self-propelled microorganisms move within the nanofluid due to the density gradient and it ensures proper mixing of nanoparticles. In order to achieve proper bioconvection caused by microorganisms, the nanoparticle concentration is assumed to be dilute and the fluid with these characteristics is assumed to flow as a jet past a stretching sheet. The mathematical model to analyse such a characteristic flow is framed using the modified Buongiorno's model that describes the impact of volume fraction, thermophoresis and Brownian motion. The mathematical model obtained will be further converted into non-linear differential equations that are solved through the RKF - 45 method. The results obtained through this method are interpreted graphically and the impact of fluid flow parameters on the heat and mass transfer rates are tabulated. It is perceived that the mixed convection parameter enhances the velocity profile. Similarly, the increase in the Brownian motion and thermophoresis enhances the thermal profile. Meanwhile, the increase in the nanoparticle volume fraction helps in enhancing the thermal conductivity and thus the temperature is found to be increasing. [ABSTRACT FROM AUTHOR]