CHEN Wen-lih, YANG Yu-ching, LEE Haw-long, Jose Leon Salazar. Inverse Estimation for the Unknown Fouling Geometry on the Inner Wall of a Forced-Convection Pipe[J]. Applied Mathematics and Mechanics, 2011, 32(1): 53-65. doi: 10.3879/j.issn.1000-0887.2011.01.006
Citation: CHEN Wen-lih, YANG Yu-ching, LEE Haw-long, Jose Leon Salazar. Inverse Estimation for the Unknown Fouling Geometry on the Inner Wall of a Forced-Convection Pipe[J]. Applied Mathematics and Mechanics, 2011, 32(1): 53-65. doi: 10.3879/j.issn.1000-0887.2011.01.006

Inverse Estimation for the Unknown Fouling Geometry on the Inner Wall of a Forced-Convection Pipe

doi: 10.3879/j.issn.1000-0887.2011.01.006
  • Received Date: 2010-08-25
  • Rev Recd Date: 2010-11-04
  • Publish Date: 2011-01-15
  • A conjugate gradient method based inverse algorithm was applied to estimate the unknown fouling-layer profile on the inner wall of a pipe system using simulated temperature measurements taken within the pipe wall.It was assumed that no prior information was available on the functional form of the unknown profile;hence the procedure was classified as the function estimation in inverse calculation.The temperature data obtained from the direct problem were used to simulate the temperature measurements. The accuracy of the inverse analysis is examined by using simulated exact and inexact temperature measurements.Results show that an excellent estimation on the fouling-layer profile can be obtained for the test case considered.The technique presented can be used in a warning system to call for pipe maintenance when the thickness of fouling exceeds a pre-defined criterion.
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