Bioadaptive peristaltic model of double-diffusive nanofluid through a slant porous channel: application to hazardous compound mitigation

Peristaltic transport of magnetohydrodynamic, double-diffusive nanofluids plays a vital role in many emerging technologies and biomedical microchannel cooling. In this study, a comprehensive mathematical framework is developed to investigate the combined influence of activation energy and double-diffusive convection on the flow of a nanofluid through an inclined, non-uniform porous channel with compliant walls, motivated by bio-inspired strategies for mitigating hazardous substances. The Sutterby fluid model is employed to capture pronounced shear-thinning and shear-thickening behavior. At the same time, additional physical mechanisms, including internal heat generation, thermal radiation, Brownian motion, thermophoresis, Soret and Dufour effects, and magnetohydrodynamic forces, are incorporated. By applying lubrication theory, the moving boundary problem is transformed into a stationary formulation, and the resulting non-dimensional system is solved numerically using a Lobatto IIIA finite-difference scheme implemented in MATLAB’s bvp5c solver. The results reveal that thermal and transport characteristics are strongly governed by Brownian motion and Dufour effects, while flow behavior is significantly modulated by wall compliance, porous resistance, and magnetic interaction. The novelty of the present work lies in the unified treatment of compliant wall dynamics, chemically reactive Sutterby nanofluid rheology, and double-diffusive transport under radiative and magnetic effects within an inclined porous configuration.