Abstract
In this paper, to characterize the appearances of bio-convection and influencing microorganisms in movements of influenced Walters-B nanofluid, we built a process in a stretchable sheet utilizing Fourier's and Fick's laws. The mass and temperature diffusion hypothesis proposed by Cattaneo and Christov has been considered. Also, the Buongiorno phenomenon for nanofluid wave in the Walters-B fluid is used, according to the Cattaneo-Christov connection. A system of regulating partial differential equations (PDEs) is transformed into ordinary differential equations (ODEs) using similarity transformations. Due to the Galerkin finite element mode, the software COMSOL is utilized to derive mathematical solutions for nonlinear equations (G-FEM). Temperature, velocity, and microorganism analysis are all investigated using logical and pictorial metrics. Nanoparticle concentrations are also calculated by considering various approximations of well-known physical characteristics. The simulations of this model demonstrate a straight association between the heat field and the current Biot number and factor of the Walters-B liquid. The temperature field is improved to increase the thermal Biot amount and factor approximations for the Walters-B fluid.