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Here, a mass-based hybridity model is applied to inquire about the mixed convection of a thermomicropolar binary nanofluid (TMBNF) upon a shrinking and porous plate. The nanoparticles are the silver (AgNPs) and the graphene (GrNPs), in a spherical shape, suspended in an aqua base fluid. The applied methodology considers the masses of base fluid and nanoparticles as an alternative to the first and second nanoparticles volume fraction, according to the single-phase approach named the Tiwari-Das model. By using the similarity transformation technique, the dominating PDEs are changed to a system of ODEs that can be solved numerically by the bvp4c pattern of Matlab. To validate the numerical method, a comparison is implemented for the heat transfer, the shear stress, and the gradient of microrotation values, with results reported previously that consequently a supreme agreement is observed. The variations of the angular velocity, velocity, temperature distribution, gradient of microrotation, shear stress, and the heat transfer of the TMBNF with the prominent parameters are presented and analyzed by the tabular and graphical results. The originality of this work is related to the use of the mass-based model for TMBNF flow and the derivation of a new configuration of governing equations. It is concluded that the mass-based model with its significant benefits can be utilized successfully with tremendous assurance to abundant theoretical problems of micropolar binary nanofluid flow and heat transfer. New models for the nanofluid hybridity can undoubtedly be quite helpful in the many fields where cooling technologies are essential.

Blood flow in the arteries is a common example of Casson fluid flow among other novel applications of this fluid model. This model finds application in various transformed delivery system and to design new medical devices for cell delivery to the central nervous system. In this study, the physical perspectives on 2D mixed convection flow of magnetized Casson nanofluid over a vertical moving thin needle in the presence of non-linear thermal radiation and heat source/sink effects has been investigated. The astonishing aspects of buoyancy assisting and opposing flow has also be analyzed in this achievement. The Buongiorno fluid model is employed for the impact of nanoparticles. Further, the Joule heating and viscous dissipation terms are incorporated in the energy equation. The Prandtl boundary layer governing equations are enclosed and solved numerically by utilizing Runge–Kutta Fehlberg 5th order (RKF-5) method. The infiltration of diverse material parameters for instance: Brownian motion, thermophoresis diffusion, thermal radiation, mixed convection, Eckert number, needle thickness and chemical reaction on velocity, temperature, concentration, friction factor and heat flux are exemplified qualitatively via graphical approach. Dual (first and second) solutions are examined within a particular range of needle thickness. Output demonstrate that reduction in needle thickness widen the range of dual solutions. It is found that the friction factor and heat transfer rates increases with the expansion of needle thickness. To the best of our knowledge, the problem provide a novel investigate direction and no such articles reported yet in the literature.

This study aims to investigate the flow of two-dimensional magnetohydrodynamics (MHD) Williamson nanofluid over the permeable exponential stretching curved surface with variable thermal conductivity and activation energy. The Navier Stokes Equation along with Williamson fluid model is used to govern the partial differential equations (PDEs) and to transfer these PDEs into ordinary differential equations (ODEs), appropriate similarity transformations are utilized. The obtained ODEs are solved numerically. The effect of the physical parameters that are Williamson fluid parameter, curvature parameter, permeability parameter, temperature factors (Biot, Brinkman, thermal conductivity, temperature ratio, temperature difference, radiation, unequal heat source/sink), suction/injection parameter, magnetic parameter, nanofluid parameters (Brownian motion, thermophoresis), activation energy factors (reaction rate, fitted rate constant), Schmidt number, on velocity, pressure, temperature, and concentration profiles are shown through graphs.