Abstract—In this paper fuzzy logic method has been used to model and predict the experimental results of steady free convection heat transfer in a partitioned cavity with adiabatic, horizontal and isothermally vertical walls and an adiabatic partition. Experiments covered Rayleigh number ranging from 1.5×10 5 to 4.5×10 5 and the angle of the partition with respect to horizon from 0° to 90°. Results indicate that, at a constant angle of the adiabatic partition, the average Nusselt number and consequently heat transfer increases with the increase of Rayleigh number and at a constant Rayleigh number, the maximum and minimum heat transfer occurs at the partition angle of 45° and 90°, respectively. Velocity contours from a commercial code, Fluent, has been used to analyze the variation of heat transfer in the cavity. A fuzzy inference system named Mamdani was used to expect the output membership functions to be fuzzy sets. It has been shown that fuzzy logic is a powerful tool for predicting the experiments, due to its low error. The average error of fuzzy predictions with respect to experimental results was found to be 0.37% for this study.
Index Terms—Free convection, partitioned cavity, interferometry, mach-zehnder, fuzzy logic, mamdani inference system.
T. Yousefi, A. Karami, and M. Mahdipour Jalilian are with the Mechanical Engineering Department, Razi University, Kermanshah, Iran (e-mail:t.yousefi2686@yahoo.com),(e-mail:Alimohammad.karami@yahoo. com),(e-mail:maziar.1986.2000@gmail.com)
S. Mahmoudinezhad is with the Mechanical Engineering Department, Islamic Azad University, Gachsaran Branch, Gachsaran, Iran (e-mail: mahmoodi8125@yahoo.com).
M. Ahmadi is with the Engineering Science, Simon Fraser University (e-mail: ahmadi.mehran@gmail.com)
Cite: T. Yousefi, A. Karami, S. Mahmoudinezhad, M. Mahdipour Jalilian, and M. Ahmadi, "Modeling the Free Convection Heat Transfer in a Partitioned Cavity by the Use of Fuzzy Logic," International Journal of Modeling and Optimization vol. 1, no. 4, pp. 284-288, 2011.
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