In the present study, we examine the influence of entropy generation on Maxwell hybrid nanofluid over a cylinder in the presence of non-linear thermal radiation and Cattaneo-Christov heat flux. In this model, we considered and are the nanoparticles which are suspended in the base fluid blood. The basic PDE’s (Partial differential equations) are transformed into ODE’s (Ordinary differential equations) by ensuring the suitable self-similarity transformations. ODEs are resolved using a Runge–Kutta 4th-order along with shooting procedure. Numerical method (NM) and Homotopy perturbation method (HPM) solutions for the nonlinear system are obtained so that they compared to each other for the case of cylinder. The HPM is developed for comparison purposes, and more accurate and reliable outcomes are illustrated through graphs. Moreover, the obtained results are compared with the existing literature and are found to be an excellent agreement. It is found that the fluid velocity reduces for the higher values of magnetic parameter. Higher values of the heat generation parameter improve the temperature profiles. Nusselt number decreases when developing Darcy–Forchheimer number and temperature time relaxation parameter. This type of flow problems may be utilized to improve the blood flow in the blood vessel has attracted the attention of physicians and biomedical researchers as it specializes in various treatments such as drug targeting, cell tissue engineering, cancer, hyperthermia and hypothermia.
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