Optimization of Heat Transfer Parameter in Fractal Tree Microchannel with Al2O3 Nano-Fluids Using Taguchi and GRA Method
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Grey relational analysis of the multiple responses, including Reynolds number, Nusselt number, heat transfer (W), heattransfer coefficient (W/m2 K), and heat flux (W/m2), was done as part of experiments based on a Taguchi orthogonal array. The best parameter levels was calculated and selected based on GRA on basis of the Grey Relational Grade (GRG). AnANOVA has been used to identify factors that significantly contribute to the response based on grade. Experiments was conductedat the optimum predicted conditions (Al2O3) and the response was found as follows; Reynolds Number (592), NusseltNumber (2.5), Heat transfer (Q) (510), Flux (W/m2) (17.8) and Heat transfer Coefficient (W/m2 K) (394). The experimentalvalue was found to be correlated with the predicted values of Reynolds number (610), Nusselt number (2.6), heat transfer (Q)(530), heat transfer coefficient (W/m2 K) (415), and heat flux (W/m2) (18.5), respectively. The experimental data were foundto have an excellent knowledge under the recommended conditions. Our study is a preliminary step towards developing asubstantially effective Al2O3-based base fluid to enhance the performance of the heat transfer process in a copper-based serpentineshape heat exchanger
Abstract
Grey relational analysis of the multiple responses, including Reynolds number, Nusselt number, heat transfer (W), heattransfer coefficient (W/m2 K), and heat flux (W/m2), was done as part of experiments based on a Taguchi orthogonal array. The best parameter levels was calculated and selected based on GRA on basis of the Grey Relational Grade (GRG). AnANOVA has been used to identify factors that significantly contribute to the response based on grade. Experiments was conductedat the optimum predicted conditions (Al2O3) and the response was found as follows; Reynolds Number (592), NusseltNumber (2.5), Heat transfer (Q) (510), Flux (W/m2) (17.8) and Heat transfer Coefficient (W/m2 K) (394). The experimentalvalue was found to be correlated with the predicted values of Reynolds number (610), Nusselt number (2.6), heat transfer (Q)(530), heat transfer coefficient (W/m2 K) (415), and heat flux (W/m2) (18.5), respectively. The experimental data were foundto have an excellent knowledge under the recommended conditions. Our study is a preliminary step towards developing asubstantially effective Al2O3-based base fluid to enhance the performance of the heat transfer process in a copper-based serpentineshape heat exchanger
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