论文标题
矩形板的不确定对流扩散传热的模糊有限元溶液
Fuzzy Finite Element Solution of Uncertain Convection-Diffusion Heat Transfer for a Rectangular Plate
论文作者
论文摘要
传热的对流扩散是流体流量和工业问题的重要现象之一。所涉及的参数，边界条件和材料特性极大地影响了该参数。因此，这些参数，条件和属性的不确定性不可忽视。因此，本研究工作集中于数值方法，以研究不确定的传热问题对流扩散。在这里，使用有限元方法具有模糊不确定性来研究板问题的不确定温度。考虑不确定性，误差的10％，然后产生相应的模糊数。这些模糊的数字用于控制差分方程和边界条件以获得节点温度。考虑了模糊参数的不同组合，并报告了获得的结果。此外，在案例研究中报道了这些参数的敏感性。
Convection-diffusion of heat transfer is one of the important phenomena in fluid flow and industrial problems. The involved parameters, boundary conditions, and material properties are greatly affecting the same. As such, the uncertainness of these parameters, conditions, and properties cannot be ignored. Therefore, the present research work focuses numerical approach to study the uncertain convection-diffusion of heat transfer problem. Here, the finite element method is employed with fuzzy uncertainties to investigate the uncertain temperatures for a plate problem. The uncertainty is considered with a 10% of error and then corresponding fuzzy numbers are generated. These fuzzy numbers are used in the governing differential equation and boundary conditions to get the nodal temperatures. A different combination of fuzzy parameters is considered and the obtained results are reported. Furthermore, the sensitiveness of these parameters is reported in a case study.
