Homann modeling of Thermodynamic Optimization on yield-stress Nanofluid with radiation and bioconvection effects

The enquiry inspects the movement of bioconvection through a nanoliquid near the stagnant flow subject to a stretchable surface. The effects of convective flow condition, radiative flow with rate of heat generation/absorption and chemical reaction are considered in energy and concentration equations. A well-known Buongiorno’s the nanofluid model is applied to examine the effects of Brownian movement and thermophoresis characteristics. Irreversible analysis of the proposed system is also carried out. The modelled formulations having partial differential equations (PDEs) are transmuted through suitable transformations. Further, the set of transmuted ordinary differential equations (ODEs) can be employed by the analytical method recognised as the homotopic technique. The significance of numerous important variables in represented equations has been visually illustrated along with pertinent physical outcomes. The outcomes indicates that the rate of flow reduces due the rising values of Casson fluid variable (𝛾) while the Bejan profile is increasing with a bigger estimation of (𝛾). The augmentation in the thermal radiation (Rd) and Biot number (Bi) improved in the temperature field. However, reduction in motile density due to the larger magnitude of Bioconvection Lewis number (Lb). Comparison has been endeavored in the results of past publishing result.