Prediction and optimization of Nusselt number of Al2O3/water nanofluid Using Response Surface Methodology

Document Type: Research Article


Department of Chemical Engineering, Faculty of Engineering, Arak University, Arak Iran


This study is primarily aims the examination of the effect of flow rate, solid volume fraction and their interactions on Nusselt number of Al2O3/water nanofluids. To investigate the main and interaction effects on the response, Response surface methodology (RSM) has been used based on the miscellaneous design. By using the analysis of variance (ANOVA) the significance of the model is tested. The responses to Nusselt number of nanofluids are also estimated using second-order polynomial equations. The results show that the Nusselt number increases with a higher amount of flow rate and solid volume fraction. Finally, the optimum condition of the process is predicted based on the RSM method. Having considered the optimum condition, the Nusselt numbers are compared with experimental data. The results show that there is a good agreement between the suggested model’s results and experimental data. Therefore, according to the results, the Nusselt number is precisely predictable in the model proposed by the Design Expert.