This study inspects a steady, laminar and incompressible magnetohydrodynamic (MHD) flow connecting a Jeffrey mixed nanofluid composed of aluminium oxide ( \(Al_{2} O_{3}\) ), and copper ( \(Cu\) ) suspended in water. This flow arises across an exponentially elongating plane with an inclined magnetic field through a porous regime, subject to an irregular thermal source or sink. We handle multiple issues, including thermo-diffusion, viscous dissipation, and diffusion-thermo effects, which influence thermal plus convective transport of mass. Our goal is to find the impact of pertinent constraints on velocity, temperature, and concentration. We tackle the revised governing equations with the bvp4c numerical tool to assess such a system, which solves boundary value problems. This study’s novelty is that it fills the gaps left by Sarma et al. (Hybrid Adv 6:100194, 2024. 10.1016/j.hybadv.2024.100194). This study demonstrates great agreement with Sarma et al. [21]. It demonstrates that elevating the Deborah number \(\left( {0 < \lambda_{2} < 2} \right)\) diminishes the concentration graph, and on the other hand, raising the activation energy \(\left( {0 < E\underline { < } 3} \right)\) enhances concentration although rising heat radiation \(\left( {0 < Rd < 1} \right)\) lifts fluid temperature. Still, the Deborah number \(\left( {0 < \lambda_{2} < 2} \right)\) lowers the temperature graph. As the nanoparticle volume fraction \(\left( {0 < \phi_{1} ,\phi_{2} \underline { < } 0.15} \right)\) expands, velocity drops, followed by an elevation in temperatures. Adding 1% of \(Al_{2} O_{3}\) , and \(Cu\) nanoparticles volume fraction into the base fluid water upsurges the frictional drag by 2.74%, and 4.04% respectively, and the Nusselt number enhanced by 4.23%, and 5.44% respectively.
