## 1 Introduction
Graphene is also utilized for protein biofunctionalization, anticancer treatment, and as an antibacterial agent for bone and tooth implantation. The newly synthesized nanomaterials' biocompatibility enables extensive usage in medicine and biology [1; 2; 8; 9]. The structural, electrical, thermodynamic, visual, physiological, and biochemical characteristics of graphene-based nanocomposites are exceptional. The effects of graphene loading on the mechanical, thermal, and biological properties of graphene nanocomposites areites were investigated by [PERSON] et al. [10]. The researchers predicted that the addition of graphene would enhance the mechanical and thermal properties of the poly vinyl alcohol/graphene (PVA/Gr) nanocomposite compared to pure poly vinyl alcohol, as well as provide significant antimicrobial activity against the bacterial strain Staphylococcus aureus. By 3-[4,5-dimethylthiazol-2-yl]-2,5 diphenyl tetrazolium bromide (MTT) experiment, the PVA/Gr nanocomposite proved non-cytotoxic to healthy peripheral blood mononuclear cells, demonstrating its great potential for biocompatibility. The inherent nature of graphene flakes on water molecules was explored by [PERSON] et al. [11]. To completely understand graphene behavior in water, the researchers examined graphene distortion in the presence of water molecules. The researchers discovered that graphene folded to wrap around water molecules and avoided full failure, as witnessed in the example of a single graphene layer. The findings of this work have been considered an important milestone toward the problem formulation and analysis of the current research work. The biological interactions of graphene and graphene-composed nanomaterials were reviewed by [PERSON] et al. [12]. The study determined that full nanomaterial characterization and mechanical toxicity investigations are required for safe and secure graphene nanosheet development and production in order to optimize biomedical applications with the lowest hazards to environmental health and safety. [PERSON] et al. [13] analyzed the increased efficiency of poly(3-hydroxybutyrate-co-3-hydroxy valerate) films due to the addition of graphene oxide (GO) nanosheets. The team concluded that the antimicrobial and proliferative activities of the films are enhanced by the inclusion of GO nanosheets. A review of the electrical and gas-sensing properties of reduced graphene is made by [PERSON] et al. [14]. A comprehensive evaluation of the aforementioned research papers, as well as a few more supporting pieces of documentation published in the literature, uncovers that none of the researchers have attempted the present problem previously, despite the fact that the ideas and research methods described in this paper can be expected to lead to tremendously legendary interconnection across disciplines. The extracted literature mainly deals only with the flow of graphene nanofluids along the flow geometry whereas, in the current manuscript, an attempt to visualize the flow of water and blood across a graphene layer of varying porosity is made concerning the arterial flow geometries with atherosclerotic and aneurysm abnormalities. Validation of the present manuscript is implemented using the previously published articles on fluid flow, preferably blood flow, across a pathological arterial segment. As the study is in its preparatory stage, investigation of the flow across the graphene layer is conducted for a simple geometry without considering its elastic nature. More flow problems in various geometries can be seen in [15; 16; 17; 18; 19; 20; 21; 22; 23; 24; 25; 26; 27; 28; 29; 30; 31; 32; 33; 34; 35]. The present study is at its meristematic stage. The study of flow along arterioles is being considered for the first time and the flow of blood across a layer of a chemical compound is considered a novel idea. Hence, we intend to present the results of the study at its budding stage in the present manuscript. The geometry considered for the present study is analogous to an arteriole segment.