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| Uncertainty study of natural convection in random porous media based on Monte-Carlo stochastic finite element method |
| Received:December 23, 2016 Revised:February 18, 2017 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20161223002 |
| KeyWord:Monte-Carlo simulation stochastic porous medium stochastic finite element natural convection uncertainty quantification |
| Author | Institution |
| 何贻海 |
长沙理工大学 能源与动力工程学院, 长沙 |
| 姜昌伟 |
长沙理工大学 能源与动力工程学院, 长沙 |
| 何叶从 |
长沙理工大学 能源与动力工程学院, 长沙 |
| 姚鸣 |
长沙理工大学 能源与动力工程学院, 长沙 |
| 朱炎鹤 |
长沙理工大学 能源与动力工程学院, 长沙 |
| 张炳晴 |
长沙理工大学 能源与动力工程学院, 长沙 |
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| Abstract: |
| In order to analyze the influence of porosity uncertainty on heat transfer and fluid flow in random porous media cavity,a Karhunen-Loeve-Monte-Carlo stochastic mathematical model and finite element framework of uncertainty quantification of natural convection in random porous media were developed based on stochastic theory and porous media heat transfer theory.The momentum equations and energy equations are solved by the Brinkmann-Forchheimer-Darcy model.The Karhunen-Loeve expansion and Latin sampling method were utilized to represent the input random field,so as to simulate the heat and mass transfer of natural convection in the porous media cavity with Matlab stochastic finite element program.The mathematical expectation and standard deviation of stochastic output field were attained.Furthermore,the influence of Darcy number on Nusselt number was analyzed.The results show that the porosity uncertainty has an important influence on the natural convection in porous cavity.The flow field and temperature field in random porous media and those in deterministic porous media under certain condition have some deviations,the standard deviation of Nusselt number increases firstly and then decreases with the increase of Darcy number. |