Bioconvective nonlinear radiated thermal transport of magnetized third-grade nanoparticles in accelerated frame with implementation of modified fourier heat flux laws

Abstract

The contribution of nanoparticles is important to enhance energy resources and improve the efficiency of solar management systems. Owing to impressive thermal consequences, various applications of nanoparticles are observed in engineering processes, chemical and mechanical industries, thermal systems and many more. It is further emphasized that the decomposition of nanoparticles with non-Newtonian materials is more dynamic from an application point of view. The current research communicates the improvement in thermal transportation phenomenon due to interaction of nanoparticles along with decomposing of third-grade base fluid. The nanofluid is immersed with microorganism to justify the applications of bioconvection. The thermal observations are carried out with the existence of some extra thermal consequences like activation energy and radiative phenomenon with nonlinear approach. The modified relations of Fourier and Fick theories have been used to entertain the thermal results. The confined flow is due to the accelerated regime with stretching characteristics. The dynamical system is formulated with the attention of partial differential equations. The physical impact of parameters is addressed for specific range of parameters like [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text]. The analytical outcomes are listed via homotopy analysis scheme. The role of parameters fluctuating in the various profiles is graphically observed. The results conveyed via the current model are effective in enhancing the thermal processes, solar systems, heat transfer, control of cooling and heating phenomenon, biofuels, fertilizers, etc.