Bioconvection peristaltic transport of Williamson hybrid nanofluid with motile microorganism, Ohmic heating, and entropy generation through an endoscope

On account of the significance of entropy generation and bioconvection in biomedical and bioengineering, valuable contributions have been made by scientists in the present decade. The current study explores the impact of entropy generation, bioconvection of microorganisms, and Ohmic heating on the peristaltic transport of Williamson fluid containing molybdenum disulfide and silver nanoparticles through an endoscope with a long wavelength and low Reynolds number assumptions. The second law of thermodynamics is used to examine the entropy generation, and also Ohmic heating effect is used in the system. Between two coaxial tubes, a non-Newtonian Williamson fluid with molybdenum disulfide and silver nanoparticles is considered. The Homotopy perturbation method (HPM) is applied to describe the nonlinear partial differential equations. We were able to arrive at analytical solutions for velocity, nanoparticle concentration, microbes' density, and temperature. In the end, the impact of distinct physical parameters on temperature, nanoparticle concentration, velocity, microorganism density, entropy generation, Bejan number, and the heat transfer rate was graphically depicted. The significant outcome of the present study is that the impact of the Peclet number enhances the velocity profile. But Peclet number and bioconvection cunstantly decline the density of motile microorganisms. One more significant outcome is t hat the Brinkman number declines the entropy generation near the inner tube and in the rest of the part, enhances the entropy generation. Brinkman number enhances the heat transfer rate. These findings have applications in biological sciences, engineering, geothermal energy, and industry, including the construction of microbial fuel cells and bio-convection nanotechnology devices. Microorganisms are beneficial in the degradation of biomaterials, resulting in the production of oxygen and the preservation of human health.