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![Actual and predicted values, for TCR models. (P = .0013; R² = 0.99: RMSE = 0.0074). RMSE, root mean square error [Color figure can be viewed at wileyonlinelibrary.com]](profile/Wassila-Grine/publication/334487985/figure/fig1/AS:11431281174682568@1689283782786/Actual-and-predicted-values-for-TCR-models-P0013-R099-RMSE00074-RMSE-root.png)
Actual and predicted values, for TCR models. (P = .0013; R² = 0.99: RMSE = 0.0074). RMSE, root mean square error [Color figure can be viewed at wileyonlinelibrary.com]
Source publication
In this paper, a full factorial design analysis is proposed for predicting nanofluid thermal conductivity ratio (TCR) as well as determining the effects of critical factors and their interactions. A statistical design of experiment approach with three variables (volume fraction, temperature, and nanoparticle diameter) at two levels is carried out....
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Citations
The design of experiment (DoE) approach developed for experiments requiring cost and time is applied in many disciplines. Unfortunately, the insufficient use of the DoE technique in physics led to the emergence of this study. This study aims to demonstrate the applicability of the DoE technique in the field of physics with a case study. The most widely used full factorial experimental design was used for the damped driven pendulum case study. Length (m), dumpling (Newton), and mass (kg) as independent and energy (joule) as dependent variables were defined in this study to apply the DoE approach. As a result of the statistical analyses in DoE, optimization models were created, and optimum values were obtained for the case study. The experiment performed was proved to be statistically significant and valid by calculating the R-square as 0.97. The value of the objective function is calculated as 4.058 (joule). The optimum values for length, dumping, and mass was calculated as 2.719 m, 2.485(Newton), and 2.895 kg, respectively. In conclusion, this study will contribute to the literature to guide the researchers who spend a lot of time in experimental labs and have problems with experiment costs. Cite this article as: Atalan A, Şahin H. Desıgn of experıments optımızatıon applıcatıon ın physıcs: a case study of the damped drıven pendulum experıment. Sigma J Eng Nat Sci 2021;39:3:322-330.
This work assesses the thermal performance of gold nanofluids as cooling liquid in a shell and helically coiled tube (SHCT) heat exchanger built in bench-scale. Tests planned under a multi-level factorial experimental design were carried out to evaluate the effects caused by the volumetric fraction of the gold nanoparticles, the volumetric flow rate of the working fluid and the inlet temperature of the hot fluid (water) on the SHCT heat exchanger effectiveness. Spherical gold nanoparticles with mean diameter of 14±2 nm were produced from the Turkevich's method to be used in two concentrations of about 10-5 %vol. The heat transfer tests were performed at volumetric flow rates of 20, 30 and 40 L/h for both working fluids using heated water at inlet temperatures of 40, 50 and 60°C. Results showed that the less concentrated nanofluid was comparatively more efficient, suggesting the presence of a range of values of the gold concentration for the existence of an improvement on the effectiveness in the heat transfer.
