Analytical Study of (Ag–Graphene)/Blood Hybrid Nanofluid Influenced by (Platelets-Cylindrical)(nanoparticles) and Joule Heating via VIM

[Image: see text] Applications: Flow-through permeable media have a wide range of applications in biomedical engineering, geophysical fluid dynamics, and recovery and refinement of underground reservoirs and large-scale chemical applications such as filters, catalysts, and adsorbents. Therefore, this study on a nanoliquid in a permeable channel is conducted under physical constraints. Purpose and Methodology: The key purpose of this research is to introduce a new biohybrid nanofluid model (BHNFM) with (Ag–G)(hybridnanoparticles) with additional significant physical effects of quadratic radiation, resistive heating, and magnetic field. The flow configuration is set between the expanding/contracting channels, which has broad applications, especially in biomedical engineering. The modified BHNFM was achieved after the implementation of the bitransformative scheme, and then to obtain physical results of the model, the variational iteration method was applied. Core Findings: Based on a thorough observation of the presented results, it is determined that the biohybrid nanofluid (BHNF) is more effective than mono-nano BHNFs in controlling fluid movement. The desired fluid movement for practical purposes can be achieved by varying the wall contraction number (α(1) = −0.5, −1.0, −1.5, −2.0) and with stronger magnetic effects (M = 1.0,9.0,17.0,25.0). Furthermore, increasing the number of pores on the surface of the wall causes the BHNF particles to move very slowly. The temperature of the BHNF is affected by the quadratic radiation (R(d)), heating source (Q(1)), and temperature ratio number (θ(r)), and this is a dependable approach to acquire a significant amount of heat. The findings of the current study can aid in a better understanding of parametric predictions in order to produce exceptional heat transfer in BHNFs and suitable parametric ranges to control fluid flow inside the working area. The model results would also be useful for individuals working in the fields of blood dynamics and biomedical engineering.