Paired Quasi Linearization Analysis of Heat Transfer in Unsteady Mixed Convection Nanofluid Containing Both Nanoparticles and Gyrotactic Microorganisms Due to Impulsive Motion

Abstract

This paper presents the motion of unsteady gravityinduced nanofluid flow containing gyrotactic microorganisms along downward vertical convectively heated surface subject to passively controlled nanofluid. Considering the influence of temperature on the dynamic viscosity during convection and nature of thermal conductivity during heat conduction processes, these thermophysical properties are treated as linear functions of temperature. The governing equations are nondimensionalized by using suitable similarity transformation. The dimensionless nonlinear coupled PDEs are solved using a new pseudospectral technique called paired quasilinearization method (PQLM). Convergence tests and residual error analysis are also presented to validate the accuracy, solution error, and computational convergence. The proposed PQLM yields accurate results which are obtained after a very few iterations. Minimum coefficients of (خ¾/xRex)Shx with Sc are obtained at final steady stage.