Galerkin scheme on entropy generation in complex fluid involving gyrotactic microorganisms on cylinder/surface via solar thermal radiations

Abstract

In the current analysis, numerical investigation for double diffusion and gyrotactic microorganisms in complex fluid involving Dufour and Soret influences over stretching cylinder, and stretching surface is investigated new research in recent developments and analysis of such problems are not observed yet in the open literature. Mechanisms of thermal radiation, heat sink, viscous dissipation, chemical reaction and Joule heating are incorporated. Solar water heating, solar cooking, solar power generation and solar desalination are a few examples of practical uses for solar thermal processes. Applications of the current analysis include thermal insulation, biomedical engineering, chemical processing, food preservation, cooling systems and power generation. Moreover, the utilization of a uniform magnetic field is incorporated along the z-direction under consideration of magnetic Reynolds number (low). Such development has been utilized in several industrial and technological applications. This modern physical development is transformed in mathematical modeling regarding highly coupled non-linear PDEs. A set of PDEs (non-linear) is transformed into dimensionless form regarding non-linear ODEs utilizing relevant variables and a numerical solution is achieved using finite element methodology. In this development, essential simulations have been obtained, for example, surface drag force, Nusselt number, mass diffusion rate and microorganism concentration.