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Forced convective heat transfer of Carreau fluids in crossflows over multiple cylinders in tandem and staggered arrangements

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The forced convective heat transfer from multiple isothermal cylinders in tandem and staggered arrangements to the surrounding non-Newtonian Carreau fluid was studied. The study has been motivated by this fact… Click to show full abstract

The forced convective heat transfer from multiple isothermal cylinders in tandem and staggered arrangements to the surrounding non-Newtonian Carreau fluid was studied. The study has been motivated by this fact that the Carreau viscosity function is one of the most accurate rheological models for the prediction of non-Newtonian inelastic behavior. A pressure correction flow solver was used, and it was validated against previous numerical and experimental data. It was shown the pertinent nondimensional numbers for the problem were the Reynolds number Re , the Carreau number Cu, and the power-law exponent n . The flow and temperature fields were obtained for Re<100, 1 ≤ Cu ≤ 20, and 0.4 ≤  n  ≤ 1.4, and the effect of these nondimensional numbers was fully investigated on the local and average Nusselt numbers for various separation distances between cylinders. It was shown that the non-Newtonian rheological behavior notably affected the heat transfer rate from hot isothermal cylinders in crossflows. Moreover, the interaction between upstream and downstream cylinders depended on the various features of the non-Newtonian viscosity function. The heat transfer rate increased as Cu number increased, and it decreased as the power-law index increased.

Keywords: convective heat; carreau; forced convective; heat transfer; heat

Journal Title: Journal of the Brazilian Society of Mechanical Sciences and Engineering
Year Published: 2020

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