A homotopic analysis of the blood-based bioconvection Carreau-Yasuda hybrid nanofluid flow over a stretching sheet with convective conditions

The time-independent and incompressible blood-based hybrid nanofluid flow, including Au and Cu nanoparticles across an expanding sheet, has been studied. To illustrate the non-Newtonian performance of the blood-based hybrid nanofluid flow, a non-Newtonian model known as the Carreau-Yasuda model is used. The hybrid nanofluid flow is studied under the influence of magnetic effects, thermal radiation, Brownian motion, thermophoresis, and chemical reactivity. Homotopy analysis method (HAM) is employed to evaluate the modeled equations. A study is conducted on the convergence analysis of HAM, and the HAM and numerical analyses are compared. From the present analysis, the velocity profile increases with an increase in Weissenberg number and decreases with increasing magnetic factor. The temperature, concentration, and microorganisms profiles increase in tandem with the higher thermal Biot, concentration Biot, and microorganism Biot numbers. The thermal and concentration profiles, respectively, have decreased due to the larger thermal and concentration relaxation time factors. The microorganism profiles have decreased due to the increased bioconvection of Lewis and Peclet populations. The modeled equations can be solved by both the HAM and the numerical approaches, validating both approaches to solution.