This paper explores the heat and mass transfer by hybrid nanofluids flow over a spinning disk in the presence of oxytactic microorganisms. During this study, the Soret and Dufour together with Lorentz force impacts are considered. The worked nano-mixture is assumed to be having time-dependent dynamic viscosity and thermal conductivity and its components are methanol-based hybrid nanofluid comprising $\mathit{CuO}$ and $\mathit{MgO}$ nanoparticles. The disk surface is permeable and various aspects such as thermal radiation, heat generation and Arrhenius activation energy are taken into account. The governing equations are treated numerically and suitable similar transformations are introduced. The obtained results revealed that both of the velocity and temperature gradients are enhanced as the absolute values of unsteadiness parameter and nanoparticles concentrations are rising. However, the flow is slowdown as the temperature-dependent variable viscosity parameter is growing.

The main objective of this work is to present a comprehensive study that scrutinize the influence of DD convection and induced magnetic field on peristaltic pumping of Boron Nitride—Ethylene Glycol nanofluid flow through a vertical complex irregular microchannel. Experimental study showed that the nanofluid created by suspending Boron Nitride particles in a combination of Ethylene Glycol exhibited non-Newtonian characteristics. Further, the Carreau's fluid model provides accurate predictions about the rheological properties of BN-EG nanofluid. In order to imitate complicated peristaltic wave propagation conditions, sophisticated waveforms are forced at the walls. The essential properties of Brownian motion and thermophoresis phenomena are also included in simulating of heat equation as well as viscous dissipation. Mathematical simulation is performed by utilizing the lubrication approach. The resulting nonlinear coupled differential equation system is solved numerically using the built-in command (ND Solve function) in the Mathematica program. Numerical and pictorial evidence is used to illustrate the importance of various physiological features of flow quantities. The major findings demonstrated that the thermal resistance is observed to rise as the Soret and Dufour numbers increase, while the dissolvent concentration and nanoparticles volume fraction have the opposite effect.

This study aims to examine the impacts of the variable nanofluid properties on the compressible flow over an inclined irregular surface. The density, dynamic viscosity and thermal conductivity of the nano liquid are assumed to be dependent on the temperature, and the viscous dissipation in this case is introduced. Sinusoidal formulations for the unsmoothed surface together with the governing system in case of ${Gr}_L\to \mathrm{\infty }$ are presented. The temperature on the edge is, also, variable and depending on the discerption function of the surface. The nonlinear radiation is taken into account, and the two-phase model for the nanofluid is applied. A fully implicit finite difference method (FDM) is used to solve the governing system. The major outcomes revealed that the skin friction coefficient and Nusselt number are rising as the compressibility parameter $\delta$ is altered. Also, the maximization of the thermal conductivity-variation ${\beta }_1$ is better for the velocity and temperature behaviors.