Abstract
This continuation reports the thermal consequences of couple stress nanofluid containing gyrotactic microorganisms model in presence of novel features like nonlinear thermal, temperature dependent viscosity and uniform magnetic force. The generalized expressions of diffusion theory are entertained for the modeling of energy and concentration equations. The thermal radiative flow is addressed by using nonlinear thermal radiation instead of traditional linear thermal expressions. The effective Brownian motion and thermophoresis mechanisms are focused in view of Buongiorno's nano-material model. The current nanofluid model with couple stress nonlinear model is the most improved thermal model which preserves many results as a limiting case. The flow is persuaded by periodically accelerated and stretching surface. The resulted equations based on various elementary laws are formulated in partial differential form. The most convergent technique homotopy analysis method is proposed to discuss the solution procedure. The convergence analysis is performed and later on a comprehensive graphical observation with interesting physical justifications is presented. Various physical quantities are graphically entertained. The results show that the velocity profile oscillates periodically and magnitude of oscillation increases with couple stress parameter. The temperature of nanoparticles boosted with the viscosity parameter while a declining pattern of temperature is noted for the thermal Biot number. The skin friction coefficient periodically increases with the viscosity vector and couple stress parameter.