This paper presents the motion of unsteady gravity-induced nanofluid flow containing gyrotactic micro-organisms 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 pseudo-spectral technique called paired quasi-linearization 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 with Sc are obtained at final steady stage.
Paired Quasi-Linearization Analysis of Heat Transfer in Unsteady Mixed Convection Nanofluid Containing Both Nanoparticles and Gyrotactic Microorganisms Due to Impulsive Motion
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received January 30, 2016; final manuscript received June 28, 2016; published online July 27, 2016. Assoc. Editor: Andrey Kuznetsov.
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Motsa, S. S., and Animasaun, I. L. (July 27, 2016). "Paired Quasi-Linearization Analysis of Heat Transfer in Unsteady Mixed Convection Nanofluid Containing Both Nanoparticles and Gyrotactic Microorganisms Due to Impulsive Motion." ASME. J. Heat Transfer. November 2016; 138(11): 114503. https://doi.org/10.1115/1.4034039
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