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A two-dimensional inverse heat conduction problem in estimating the fluid temperature in a pipeline
Authors:T Lu  B Liu  PX Jiang  YW Zhang  H Li
Affiliation:1. School of Mechanical and Electrical Engineering, Beijing University of Chemical Technology, Beijing 100029, China;2. Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Department of Thermal Engineering, Tsinghua University, Beijing 100084, China;1. Department of Industrial Engineering, University of Parma, Parco Area delle Scienze 181/A, I-43124 Parma, Italy;2. SITEIA.PARMA Interdepartmental Centre, University of Parma, Parco Area delle Scienze 181/A, I-43124 Parma, Italy;1. Clean Energy Center, Department of Mechanical Engineering, Kun Shan University, Yung-Kang, Tainan 710-03, Taiwan, ROC;2. Material Engineering School, Costa Rica Institute of Technology, Cartago, Costa Rica;1. School of Mechanical and Electrical Engineering, Beijing University of Chemical Technology, Beijing 100029, China;2. Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Department of Thermal Engineering, Tsinghua University, Beijing 100084, China;3. China Nuclear Power Engineering Co., Ltd, Beijing 100840, China
Abstract:An inverse heat conduction problem (IHCP) was investigated in the two-dimensional section of a pipe elbow with thermal stratification to estimate the unknown transient fluid temperatures near the inner wall of the pipeline. An inverse algorithm based on the conjugate gradient method (CGM) was proposed to solve the IHCP using temperature measurements on the outer wall. In order to examine the accuracy of estimations, some comparisons have been made in this case. The temperatures obtained from the solution of the direct heat conduction problem (DHCP) using the finite element method (FEM) were pseudo-experimental input data on the outer wall for the IHCP. Comparisons of the estimated fluid temperatures with experimental fluid temperatures near the inner wall showed that the IHCP could accurately capture the actual temperature in form of the frequency of the temperature fluctuations. The analysis also showed that the IHCP needed at least 13 measurement points for the average absolute error to be dramatically reduced for the present IHCP with 37 nodes on each half of the pipe wall.
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