The heat transport characteristics, flow features, and entropy-production of bi-convection buoyancy induced, radiation-assisted hydro-magnetic hybrid nanofluid flow with thermal sink/source effects are inspected in this study. The physical characteristics of hybrid nanofluids (water-hosted) are inherited from the base liquid (water) and none has considered the physical characteristics of base liquid (water) in the study of temperature-sensorial hybrid nanofluid investigations, though the water physical characteristics are not constants in temperature variations. So, the temperature-sensorial attributes of base liquid (water) are taken into account for this hybrid nanofluid ($$Cu+{Al}_{2}{O}_{3}+\text{water}$$
C
u
+
Al
2
O
3
+
water
) flow analysis. The mathematical forms of the flow configuration (i.e., the set of coupled, nonlinear PDE form of governing equations) are solved by utilizing the subsequent tasks: (i) congenial transformation; (ii) quasilinearization; (iii) methods of finite differences to form block matrix system, and (iv) Varga’s iterative algorithm. The preciseness of the whole numerical procedure is ensured by restricting the computation to follow strict convergence conditions. Finally, the numerically extracted results representing the impacts of various salient parameters on different profiles ($$F, G, H$$
F
,
G
,
H
), gradients, and entropy production are exhibited in physical figures for better perception. A few noticeable results are highlighted as: velocity graph shows contrast behaviour under assisting and opposing buoyancy; temperature ($$G(\xi ,\eta )$$
G
(
ξ
,
η
)
) is dropping for heightening heat source ($$Q$$
Q
) surface friction remarkably declines with the outlying magnetic field ($$St$$
St
); thermal transport confronts drastic abatement under radiation ($${R}_{1}$$
R
1
), and $$St$$
St
; the characteristics Reynolds and Brinkman numbers promote entropy. Furthermore, the bounding surface acts as a strong source of $${S}_{G}$$
S
G
-production. Summarizations are listed at the end to quantify percentage variations.
This investigation considers the temperature-sensitive characteristics of water (base fluid) to scrutinize the flow mechanism, various essential gradients and energy distribution (by means of entropy production) in a magnetized hybrid nanofluid (Cu+Al2O3+H2O)
flow with exponentially increasing pressure. For more mechanically realistic results, the analysis includes radiation and heat generation/absorption along with surface mass disposal. Thermophoretic diffusion and Brownian diffusion (Nt, Nb) are incorporated into this study as
essential slip mechanisms. The governing physical principles in mathematical form are solved utilizing a robust numerical method with Varga’s block matrix method. The graphical demonstrations of numerical results show that velocity heightens with mixed convection (λ) and
Reynolds number (Re) whereas temperature enhances for heat source (Q > 0) and injection (A < 0). Stuart Number (St) reduce the heat transfer performance while mixed convection (λ) enhances the frictional coefficient. This study further found
that improving estimations of nanoparticles’ percentage (Φ), Re, Eckert number (Ec) and suction (A > 0) significantly generating more entropy.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.