FEM study of blood gold electrically conducting micropolar nanofluid flow within a permeable channel

Abstract

In this work, Hermite interpolation polynomials are utilized to develop a numerical model to analyze the influence of transport phenomena on blood gold electrically conducting micropolar nanofluid within a permeable channel with chemical reaction and thermal radiation. By considering blood as a micropolar fluid and applying Berman’s similarity transformation the resulting governing equations are transmuted to fourth-order nonlinear ODE which are solved utilizing FEM. The validity of the FEM code is established by comparing the present computations with existing work. Further, the influence of driving parameters are studied and graphically depicted. When utilizing a blood-gold micropolar nanofluid with a 1% volume fraction, it is observed that varying the Hartmann number from 0 to 15 leads to a decline in temperature profiles, resulting in a 2.51% reduction in heat transfer rate. Similarly, an increase in the chemical reaction parameter up to 10 causes species concentration profiles to decrease, leading to an 18.25% reduction in mass transfer rate compared to base fluid. Moreover, an increase in the volume fraction up to 5% results in an increase in coefficient of skin friction under the influence of the Hartmann number. These findings signify the critical role of Hartmann number in controlling blood velocity and chemical reaction parameter assists in lowering the species concentration levels. The results of the present investigation may help analyze flow models related to drug-delivery systems as gold nanoparticles are proficient drug-delivery and drug-carrying medium.