Impact of Ion‐Slip Integrating Hall Current in a Two‐Phase Casson Nanofluid With Cattaneo–Christov Model Used in Biomedical Applications

ABSTRACT The transportation of Casson nanofluid combined with Hall current significantly contributes to biomedical engineering, specifically in targeted drug delivery, hyperthermia cancer treatment, and regulating blood flow. Moreover, in electromagnetic therapy, the role of the Hall current is of the utmost importance in influencing the transportation of charged particles. The present aim of the investigation is to carry out the motion of Casson nanofluid over a porous medium incorporating the Darcy–Forchheimer inertial drag to account for inertial resistance. The implications of Brownian and thermophoresis on the distribution of the nanoparticles were analyzed using the interpretation of thermal radiation and chemical species. Additionally, the contribution of Cattaneo–Christov heat and solutal flux, presenting the role of the relaxation parameter, enriches the flow phenomena. Assuming the aforementioned physical scenario, the mathematical model presented here is transformed into their corresponding dimensionless form, which is carried out to introduce suitable transformation rules. Further, numerical technique helps in handling the solution of the model for the requisite range of the contributing factors. The physical behavior of the factors is constructed graphically and the results are illustrated briefly. Moreover, the result reveals that; the ion‐slip combined with Hall current overshoots the fluid velocity throughout and the relaxation parameter presents their controlling behavior in retarding the thermal and solutal profiles.