Peristaltic flow of a hybrid nanofluid influenced by Hall current using the Maxwell thermal conductivity model and lubrication approximation

This study investigates the blood-based peristaltic flow of magnetite nanoparticles influenced by temperature-dependent electrical conductivity and the Hall current. The analysis of thermal transmission takes into account the impact of viscous dissipation and ohmic heating. A novel aspect of the proposed model is the application of the Maxwell model to ascertain the effective fluid thermal conductivity infused with Manganese–Zinc ferrite (Mn–Zn Fe 2 O 4 ) magnetite particles. The mathematical formulation has been done considering the lubricating theory (wavelength approximation). The model is solved analytically using a perturbation method, yielding approximate closed-form solutions. A software program via Mathematica is employed for this purpose. The outcomes of several important variables, i.e., Hall current parameter, Hartmann and Brinkmann numbers, are analyzed graphically. Observations reveal that the Hall-induced current parameter possesses a decline in the velocity distribution. Heat distribution increases by enhancing the Brinkman number. The pressure gradient becomes more intense when the Hartmann number rises, and when the Hartmann number falls, it decreases. Skin friction and Nusselt number are analyzed graphically and are deliberated logically. Findings disclose that increasing Hartmann Number estimates causes the magnitude of skin friction to increase by approximately 13.44 % while the Nusselt number decreases by approximately 10 %. Increasing particle volume fraction causes the skin friction magnitude to increase by (13–15) % and also the Nusselt number by roughly 8 %. The anticipated model finds applications in oncology (targeted drug delivery and hyperthermia) and the design of next-generation microfluidic and cooling devices operating under strong magnetic fields.