Radiation Convection Flow from a Catalytic Vertical Wall to Sutterby Nanofluid: Mathematical Analysis Through Non-Similar Approach

In this article, heat and reacting species convection through the introduction of first-order classical Arrhenius kinetics reaction for both energy and species boundary condition is introduced. The assumption of catalytic reaction is critical in convection problems with numerous applications in blood transport, electric transformers, computer chips, and refrigerator cooling. Existing literature is extended by preserving the rheological properties of non-conducting Sutterby nanofluid through the non-similar transformation technique applied on the governing conservation equations subjected to dissipative heat, modified Darcy mechanism and integration of catalytic wall conditions as antioxidants for fluid preservation and device coolants. Besides, the bi-variate approach to the solution of catalytic conditioned Sutterby nanofluid flow for convection and non-conducting problem in porous medium is presented for the first time. The bi-variate spectral collocation (BSCM) which is devoid of initial guess for starting the solution is used to approximate the highly non-linear coupled deterministic equations. Its independence from a starting guess eliminates the need for iterative adjustments to initiate the solution process, making it particularly efficient for tackling complex systems with strong non-linearities. The findings here shows that the nanoparticles concentration profile diminishes as a consequence of raising the values of concentration consumption rate parameter $$(\beta _n)$$ and the temperature profile is enhanced as the Frank-Kamenestski parameter $$(\beta _m)$$ is elevated. Quantitatively, skin friction, Nusselt and Sherwood number decrease by 27.86%, 13.84% and $$3.26 \times 10^{14} \%$$ for $$\beta _{n}$$ value that increase from 0.0 to 0.3. However, these quantity of interest increase by 125.92% and 304.69% for $$beta_{m}$$ that increase from 0.0 to 0.3. Also, an enhanced thermal radiation impacted both skin friction and heat transfer coefficient positively, indicating its amplifying effect on the system performance. Moreover, temperature decreases for $$\beta _n$$ in the domain $$0 \le \eta \le 0.94$$ but increases in $$0.96 \le \eta \le 4.88$$, reflecting the effects of exothermic reactions releasing heat.