Abstract

The importance of mathematical simulation in studying biological fluids extends to various medical disciplines. The peristaltic process is crucial for comprehending different biological flows. Additionally, nanoparticles serve essential functions in a range of engineering and industrial applications, such as heat exchangers, boilers, cooling systems, and chemical engineering. This current study addresses the numerical investigation of entropy optimization for (magnetohydrodynamic) MHD peristaltic activity of Eyring-Powel nanoliquid. Here channel boundaries are flexible in nature. Effects of mixed convection and hall current were also considered. Slip conditions are imposed on channel walls. Viscous dissipation and nonlinear thermal radiation are also present in thermal transport. Brownian movement and thermophoresis aspects are considered in the nanoliquid model. Chemical reaction of order first is also present the mass transport. Simplification of transport expressions is done by operating lubrication approach. The resulting system of nonlinear equations is numerically tackled. Both numerical techniques for heat transfer rate are validated by comparing them to numerical results computed by MATLAB using bvp4c and NDSolve. Graphical analysis is carried out for different flow parameters by plotting velocity, temperature, concentration, and entropy.

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