Iranian Journal of Mechanical Engineering Transactions of ISME

Iranian Journal of Mechanical Engineering Transactions of ISME

Estimation of fouling profile in a heat exchanger pipe applying the conjugate gradient method based on the inverse algorithm

Authors
1 Associate professor, Department of Mechanical Engineering, Yasouj University
2 Assistant professor, Department of Mechanical Engineering, Yasouj University
3 Msc. Student, Department of Mechanical Engineering, Yasouj University
Abstract
One of the factors reducing the efficiency of the heat exchanger during its operation is fouling. Fouling takes place as a layer on one side or both sides of surface heat transfer and the resistances of the heat transfer that it shows cause the decrease in heat transfer through the surface. The measuring scale of fouling is most important. Because accurate measurement of fouling and to ensure that the limit is higher, fouling removal and cleaning operations is essential. A conjugate gradient method (CGM) based on the inverse algorithm is used 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 is assumed that no prior information is available about the functional form of the unknown profile. Therefore, the procedure is classified as the function estimation in inverse calculation. The temperature data obtained from the direct problem are used to simulate the temperature measurements. The accuracy of the inverse analysis is examined using the simulated exact and inexact temperature measurements. The results show that the excellent estimation of the fouling-layer profile can be obtained for the test case considered in this study. The technique presented in this study can be used in a warning system to call for pipe maintenance when the thickness of fouling exceeds a predefined criterion.
Keywords

Subjects


[1] Guerin, R., Ronse, G., Bouvier, L., Debreyne, P., and Delaplace, G., “Structure and Rate of Growth of Whey Protein Deposit from in Situ Electrical Conductivity During Fouling in a Plate Heat Exchanger”, Chemical Engineering Science, Vol. 62, pp. 1948–1957, (2007).
[2] Hesselgreaves, J. E., “An Approach to Fouling Allowances in the Design of Compact Heat Exchangers”, Applied Thermal Engineering, Vol. 22, pp. 755–762, (2002).
[3] Mohanty, D. K., and Singru, P. M., “Numerical Method for Heat Transfer and Fouling Analysis of a Shell and Tube Heat Exchanger using Statistical Analysis”, Korean J. Chem. Eng, Vol. 29, pp. 1144-1150, (2012).
[4] Merheb, B., Nassar, G., Nongaillard, B., Delaplace, G., and Leuliet, J. C., “Design and Performance of a Low-frequency Non-intrusive Acoustic Technique for Monitoring Fouling in Plate Heat Exchangers”, Journal of Food Engineering, Vol. 82, pp. 518–527, (2007).
[5] Wallhaußer, E., Hussein, M. A., and Becker, T., “Detection Methods of Fouling in Heat Exchangers in the Food Industry”, Food Control, Vol. 27, pp. 1–10, (2012).
[6] Lalot, S., and Palsson, H., “Detection of Fouling in a Cross-flow Heat Exchanger using a Neural Network Based Technique”, International Journal of Thermal Sciences, Vol. 49, pp. 675-679, (2010).
[7] Mohanty, D. K., and Singru, P. M., “Use of C-factor for Monitoring of Fouling in a Shell and Tube Heat Exchanger”, Energy, Vol. 36, pp. 2899-2904, (2011).
[8] Jonsson, G. R, Lalot, S., Palsson, O. P., and Desmet, B., “Use of Extended Kalman Filtering in Detecting Fouling in Heat Exchangers”, International Journal of Heat and Mass Transfer, Vol. 50, pp. 2643–2655, (2007).
[9] Ozisik, M. N., and Orlande, H. R. B., "Inverse Heat Transfer: Fundamental and Applications", 2th ed., Rivard, (2000).
[10] Hoffmann, K. A., and Chiange, S. T., "Computational Fluid Dynamics for Engineers", 5th ed., Wichita, Kansas, (2000).
Volume 17, Issue 4 - Serial Number 41
Heat Transfer and Fluid Mechanics
Winter 2016
Pages 23-45

  • Receive Date 11 August 2014
  • Revise Date 31 January 2016
  • Accept Date 01 March 2016