Thermal Transport of Blood-Based Gold–Silver Casson Hybrid Nanofluid for Targeted Hyperthermia: A Cattaneo–Christov Heat Flux Approach

In biomedical systems, the designing of advanced thermal therapies and drug delivery systems with precise control of thermal and flow characteristics is governed by the utility of hybrid nanofluids. This investigation is crucial for biomedical applications like hyperthermia in cancer treatment. The thermal behavior and the flow dynamics of a blood-based gold–silver Casson hybrid nanofluid toward an elongating surface packed with porous substances are considered in the anticipated analysis. The hydrodynamic fluid under the action of magnetization and inertial drag is analyzed in the proposed investigation. To address the limitations of classical Fourier law, the “Cattaneo–Christov heat flux model” is considered to analyze the non-Fourier heat conduction effect. Additionally, incorporating a nonuniform heat source/sink, radiant heat, momentum slip and thermal convection surface conditions are vital in enhancing the flow phenomena. The proposed mathematical model for the Casson fluid model and Maxwell’s electromagnetic equations are transformed to their corresponding nondimensional form by the assumptions of appropriate similarity functions. Additionally, the model is solved using a conventional numerical technique like Runge–Kutta connected to the shooting method. The physical characteristics of the several factors involved in the model are analyzed graphically and described. Moreover, the important characteristics of the factors are the fluid momentum augments with the inclusion of heavier density of nanoparticles combined with the impact of magnetization. Further, both the space and temperature-dependent heat source with an integration of thermal radiation intensify the fluid temperature.