Bioconvection flow of magnetized Williamson nanoliquid with motile organisms and variable thermal conductivity

Among the fabrication of the nano-biometerials, the bioconvection of nanoparticles attained the utmost importance in this decade. Therefore, this theoretical continuation is performed to utilize the bioconvected flow of Williamson nanofluid caused by an oscillatory stretching surface. The flow is generated due to periodic motion of the sheet. The energy equation is modified by variable thermal conductivity. The significance of present flow problem increases by utilizing the thermophoresis and Brownian movement factors. The available formulated partial differential equations are promoted into non-dimensional structure via similarity variables. The analytical solution is fulfilled using convergent technique. The implications of promising parameters on velocity, temperature profile, nanoparticles volume fraction and microorganisms profile are evaluated graphically. Locally constituted physically expressions such as Nusselt number, Sherwood number and motile density number are treated numerically as well as graphically. The presence of variable thermal conductivity, thermophoresis and Brownian motion effects are more frequent for enhancement of heat transfer. The detected observation can involve the theoretical significance in various engineering processes, bio-fuel cells, solar energy system and enhancement of extrusion systems.