Khan Mohammad Jakir Hossain, Hussain Mohd Azlan, Mujtaba Iqbal Mohammed
Department of Chemical Engineering, Faculty of Engineering, University of Malaya, Kuala Lumpur 50603, Malaysia.
UM Power Energy Dedicated Advanced Centre (UMPEDAC).
Polymers (Basel). 2016 Feb 10;8(2):47. doi: 10.3390/polym8020047.
A statistical model combined with CFD (computational fluid dynamic) method was used to explain the detailed phenomena of the process parameters, and a series of experiments were carried out for propylene polymerisation by varying the feed gas composition, reaction initiation temperature, and system pressure, in a fluidised bed catalytic reactor. The propylene polymerisation rate per pass was considered the response to the analysis. Response surface methodology (RSM), with a full factorial central composite experimental design, was applied to develop the model. In this study, analysis of variance (ANOVA) indicated an acceptable value for the coefficient of determination and a suitable estimation of a second-order regression model. For better justification, results were also described through a three-dimensional (3D) response surface and a related two-dimensional (2D) contour plot. These 3D and 2D response analyses provided significant and easy to understand findings on the effect of all the considered process variables on expected findings. To diagnose the model adequacy, the mathematical relationship between the process variables and the extent of polymer conversion was established through the combination of CFD with statistical tools. All the tests showed that the model is an excellent fit with the experimental validation. The maximum extent of polymer conversion per pass was 5.98% at the set time period and with consistent catalyst and co-catalyst feed rates. The optimum conditions for maximum polymerisation was found at reaction temperature (RT) 75 °C, system pressure (SP) 25 bar, and 75% monomer concentration (MC). The hydrogen percentage was kept fixed at all times. The coefficient of correlation for reaction temperature, system pressure, and monomer concentration ratio, was found to be 0.932. Thus, the experimental results and model predicted values were a reliable fit at optimum process conditions. Detailed and adaptable CFD results were capable of giving a clear idea of the bed dynamics at optimum process conditions.
采用统计模型结合计算流体动力学(CFD)方法来解释工艺参数的详细现象,并在流化床催化反应器中通过改变进料气体组成、反应起始温度和系统压力,进行了一系列丙烯聚合实验。每次通过的丙烯聚合速率被视为分析的响应值。采用具有全因子中心复合实验设计的响应面方法(RSM)来建立模型。在本研究中,方差分析(ANOVA)表明决定系数的值可接受,且二阶回归模型的估计合适。为了更好地说明,还通过三维(3D)响应面和相关的二维(2D)等高线图来描述结果。这些3D和2D响应分析提供了关于所有考虑的工艺变量对预期结果影响的显著且易于理解的发现。为了诊断模型的充分性,通过将CFD与统计工具相结合,建立了工艺变量与聚合物转化率程度之间的数学关系。所有测试表明该模型与实验验证结果非常吻合。在设定的时间段内,在催化剂和助催化剂进料速率一致的情况下,每次通过的聚合物最大转化率为5.98%。发现最大聚合的最佳条件为反应温度(RT)75℃、系统压力(SP)25巴和单体浓度(MC)75%。氢气百分比始终保持固定。发现反应温度、系统压力和单体浓度比的相关系数为0.932。因此,在最佳工艺条件下,实验结果和模型预测值具有可靠的拟合度。详细且适用的CFD结果能够清晰地呈现最佳工艺条件下床层的动态情况。