Modeling and Analysis of Blood-Based Hybrid Nanofluid Flow Containing Ag and TiO₂ Nanoparticles for Biomedical Applications: A Non-Fourier Approach

The key objective of the existing problem is to discuss the medical applications of the blood-based hybrid nanofluid model through the artery past a porous channel. Silver and titanium dioxide nanopartilces are utilized for the formation of the hybrid nanofluid. The medical uses of the current work are antibiotic coating on medical devices, creams, wound dressing, drug delivery, cancer, lung tumors, breathing, etc. Non-Fourier theory is employed in the proposed flow model in order to stabilize the heat transport. The predominant phenomena are modeled using nonlinear systems of partial differential equations. Through the use of similarity variables, the modeled PDEs are converted into highly nonlinear ODEs, and the suggested model’s numerical solution is then obtained using the bvp4c approach. Relevant parameters of the flow model are deliberated graphically for the velocity profile, energy field, and for normal pressure drop field. For the validation perspective, the homotopy perturbation method (HPM) is adopted and implemented on the flow model. The range of embed factors are chosen as − 5.0 ≤ Re ≤ 5.0, − 1.0 ≤ α ≤ 1.0, − 0.2 ≤ S ≤ 0.2, ϕ1 = 0.04, and ϕ2 = 0.04. Some key results from the present study are that the velocity profile is enhanced for the porosity parameter, and the temperature field is dropped due to porosity in the presence of wall deformation. The porosity parameter has decayed the hybrid nanofluid temperature profile in case of suction. But in the case of injection, increase in porosity parameter led to amplified the hybrid nanofluid temperature. The convergence criteria of flow problem through bvp4c technique are successfully proved. A close agreement is found in bvp4c and HPM.