Optimization of heat transfer by nonlinear thermal convection flow past a solid sphere with Stefan blowing and thermal slip using Taguchi method

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The temperature difference in many engineering applications, such as heat exchangers, solar collectors, geophysical transport, and electronic cooling systems, is significant and therefore the relationship between density and temperature must be non-linear. For this reason, the linear form of density-temperature approximation (Boussinesq approximation) is inadequate to describe actual density-temperature variations. Therefore, the thermo-fluidic transport characteristics of mixed thermal convection in a nanoliquid around a sphere are examined using the nonlinear Boussinesq approximation. The inhomogeneous nanoliquid model and Darcy's law are used with the Stefan blowing, and thermal jump boundary conditions. The prominence of the Lorentz force and internal heat production is also examined and the govering partial differential equations are solved with finite element method. This study also aims to determine the best optimal levels of key physical parameters to maximize the heat transfer rate using the Taguchi method and the L27 orthogonal matrix. The ANOVA is used to determine the contribution of key parameters in thermal improvement. Taguchi's analysis established that the optimal heat transport rate is 0.644705 and was found for Pr = 6, Ha = 5, Ts = 0.2, Sb = 0.1, and Nb = 0.1. The Brownian motion has the greatest contribution to the improvement of heat transport, while the thermal jump condition has the least. The aspect of Brownian motion provides a 66.22% contribution to an improved Nusselt number. Furthermore, it is established that non-linear convection helps the heat transport of the nanoliquid.

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International Communications in Heat and Mass Transfer



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