Ziaur R M, Azad A K, Rahman M M
Department of Mathematics, Bangladesh University of Engineering and Technology, Dhaka, 1000, Bangladesh.
Department of Natural Sciences, Islamic University of Technology (IUT), Gazipur, 1704, Bangladesh.
Heliyon. 2024 Sep 5;10(17):e37440. doi: 10.1016/j.heliyon.2024.e37440. eCollection 2024 Sep 15.
Sensitivity analysis is significant for understanding and measuring the impact of various parameters and input variables on heat transfer phenomena. The main objective of the current work is to examine the sensitivity of a numerical analysis of mixed convection in a lid-driven square cavity with a magnetic field. The cavity also contains a heated, star-shaped obstacle and is filled with a hybrid nanofluid. The sensitivity analysis was conducted employing the statistical response surface methodology (RSM), while the numerical simulations used the Galerkin weighted residual finite element approach to solve the governing PDEs. The study investigates the impacts of four dimensionless factors: , , , and . The numerical observation was made that there exists an upward trend between the average heat transfer rate with and , while there exists a downward trend with . Furthermore, the average heat transfer rate increases by almost half (49.54 %) when increases from 1 % to 10 % and decreases by 5.97 % when the increases from 0 to 60. Finally, the statistical investigation of the current model and testing techniques imply that values for the response function are high (98.72 %), suggesting that this model is appropriate for estimating .
敏感性分析对于理解和衡量各种参数及输入变量对传热现象的影响具有重要意义。当前工作的主要目标是研究在具有磁场的顶盖驱动方腔内混合对流数值分析的敏感性。该腔体还包含一个加热的星形障碍物，并填充有混合纳米流体。敏感性分析采用统计响应面方法（RSM）进行，而数值模拟则使用伽辽金加权残差有限元方法来求解控制偏微分方程。该研究调查了四个无量纲因素： 、 、 和 的影响。数值观测结果表明，平均传热速率与 和 之间存在上升趋势，而与 之间存在下降趋势。此外，当 从1%增加到10%时，平均传热速率几乎增加了一半（49.54%），而当 从0增加到60时，平均传热速率下降了5.97%。最后，对当前模型和测试技术的统计研究表明，响应函数的 值很高（98.72%），这表明该模型适用于估计 。
