Peristaltic flow of Phan-Thien-Tanner nanofluid: Hall current and mixed convection effects in thermally driven transport for cancer therapy

The targeted cancer therapy treatment is based upon efficient thermal transport and controlled thermal properties. The proposed investigation explores the peristaltic transport of Phan-Thein-Tanner (PTT) gold nanofluid considering the impact of Hall current and mixed convection due to the combination of buoyant forces. Moreover, radiating heat integrating to Soret and Dufour due to the cross-diffusion effects enriches the heat transport phenomenon. The constitutive viscoelastic PTT model with the proposed assumptions is presented and transformed into a non-dimensional form for suitable transformations. The deliberation of long wavelength and small Reynolds number approximation gives rise to less complexity of the model. The modified model incorporating defining parameters is handled numerically and in particular “Shooting-based Runge-Kutta fourth-order” is adopted for the solution employing bvp4c in MATLAB environment and the interplay of multiple defining factors is presented graphically. The physical descriptions for each parameter are reported in the discussion section. Further, the important results are; the fluid velocity attenuates for the increasing non-Newtonian Weissenberg number closed to the wall regions and the heat transfer rate enhances for the increasing Brownian and thermophoresis constraints at the lower wall.