Entropy analysis along thermophoretic particle deposition on nanofluid flow through different geometries with thermal radiation

The current study analyses the entropy of nanofluid flow over three different geometries with thermophoretic particle deposition and thermal radiation. It is essential while considering heat exchangers, transpiration, fiber coating, and other similar processes, to have a solid understanding of the transfer of both heat and mass that occurs during MHD flows across three dissimilar shapes. A mathematical model will be utilized to explore magnetohydrodynamic flows including energy transfer with heat and mass variations. In this model, some of the innovative concepts include thermophoresis, Brownian motion, the Cattaneo-Christov dual flux with the application of an external magnetic field, and the entropy generation effect are considered. By the appropriate similarity transformations, fundamental PDE's converted into ODE's. To solve these ODE's, the Runge-Kutta fourth order is used along with the shooting technique. The results are displayed in graphs and tables. It is observed that the velocity gets decreases with the increase of the porous parameter and magnetic field and gets stronger with the increase of the Grashof number. The temperature increases with an increase in the magnetic field, radiation parameter, Brownian motion parameter, and thermophoresis parameter. Concentration increases with the increase in a magnetic field and Brownian motion parameter but reduces with the increase of other parameters. Entropy generation gets enhanced with an increase in the magnetic field, temperature difference, concentration difference and diffusion parameters. When a flow is directed through geometries the heat and mass transfer rates are both affected by a parameter known as the thermal relaxation parameter. The influence of skin friction, Nusselt number and Sherwood number were analyzed and results were discussed.

Automated summary

This study analyzes the entropy change in nanofluid flow over three different geometries with thermophoretic particle deposition and thermal radiation. A mathematical model based on magnetohydrodynamics is used to explore the energy transfer with heat and mass variations. By solving the converted ordinary differential equations using the Runge-Kutta fourth order and shooting technique, the effects of various parameters on velocity, temperature, concentration, and entropy generation are observed. The study also analyzes the influence of the thermal relaxation parameter on heat and mass transfer rates through different geometries.