Heat Flux Sensor for Ash Fouling Monitoring
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“CLEAN” HEAT FLUX SENSOR FOR ASH FOULING MONITORING by ZhengYu Hu A thesis submitted to the Department of Mechanical and Material Engineering In conformity with the requirements for the degree of Master of Science Engineering Queen’s University Kingston, Ontario, Canada (September, 2009) Copyright ©ZhengYu Hu, 2009 Abstract An ash monitoring system prototype that consists of a “clean” heat flux sensor and a “dirty” heat flux sensor was developed in this study. The “clean” heat flux sensor was studied numerically and experimentally while the “dirty” heat flux sensor was tested in the experiment. Two different measurement methods were applied on the “clean” sensor, one from the original study and one proposed in the present work. The new method required additional data processing procedures to be able to work in an on-line basis. Among the three data processing procedures developed in this study the central temperature difference procedure was found to be the most reliable one. Numerical results provided valuable information about the heat transfer pattern at the sensing element and also the performance of the sensor at high radiation heat flux levels. A rough calibration of both “clean” and “dirty” heat flux sensors was conducted experimentally. Nevertheless, the experimental results still served as a primary assessment for both sensors. Observed disagreements between the original study and the present one were probably caused by the modification of the sensor structure made in the present study. Sensitivity variation at high heat flux levels did not appear in the numerical results of either measurement method. Low overall sensor temperature change was believed to be the main reason as it meant less change in thermal properties of the sensing disc. Although the results of the study suggested that the proposed oscillation method was less attractive than the original one, it increased the possibility of resolving the surface characteristic variation problem that was considered crucial for the performances of the “clean” heat flux sensor regardless of the measurement method used. ii Acknowledgements I would like to express my gratitude to my supervisor Dr Darko Matovic for his supervision and support over the course of this work. I would also like to acknowledge the financial support of Ontario Center of Excellence and the assistance from Atikokan Power Station during the in-situ test. iii Table of Contents Abstract............................................................................................................................................ii Acknowledgements.........................................................................................................................iii Table of Contents............................................................................................................................iv List of Figures.................................................................................................................................vi Nomenclature.............................................................................................................................xii Chapter 1 Introduction .....................................................................................................................1 1.1 Background............................................................................................................................1 1.2 Project Scope .........................................................................................................................3 Chapter 2 Literature Review............................................................................................................4 2.1 Heat Transfer .........................................................................................................................6 2.1.1 Momentum and Convection Heat Transfer.....................................................................7 2.1.2 Radiation Heat Transfer................................................................................................11 2.1.3 Conduction Heat Transfer.............................................................................................14 2.2 Heat Flux Measurement.......................................................................................................17 2.2.1 Measurement Based On Spatial Temperature Gradient................................................17 2.2.2 Measurement Based On Temporal Temperature Difference ........................................20 2.3 Heat Flux Sensors for Ash Fouling Monitoring...................................................................22 Chapter 3 Sensor Design................................................................................................................30 3.1 “Clean” Heat Flux Sensor....................................................................................................30 3.1.1 Sensor Structure............................................................................................................30 3.1.2 Measurement Concepts.................................................................................................34 3.2 “Dirty” Heat Flux Sensor.....................................................................................................38 3.3 Data Processing Procedures.................................................................................................41 Chapter 4 Numerical Model and Results .......................................................................................45 4.1 Physical Models...................................................................................................................46 4.1.1 Turbulence Model.........................................................................................................46 4.1.2 Wall Functions..............................................................................................................48 4.1.3 Heat Transfer ................................................................................................................49 4.2 Model Setup.........................................................................................................................51 4.2.1 Layout and Boundary Conditions .................................................................................51 4.2.2 Grid Setup .....................................................................................................................54 4.2.3 Material Properties........................................................................................................56 iv 4.2.4 Numerical Setup............................................................................................................57 4.3 Numerical Results................................................................................................................58 Grid Sensitivity Test ..........................................................................................................58 Steady State Results (1mm channel)..................................................................................64 Steady State Results (0.5mm channel)...............................................................................70 Transient Simulation Results (1mm channel)....................................................................76 Transient Simulation Results (0.5mm channel).................................................................80 Chapter 5 Experimental Study and Results....................................................................................84 5.1 Apparatus and Setup ............................................................................................................84 5.2 Incident Radiation Estimation..............................................................................................90 5.3 Experimental Results ...........................................................................................................94 5.3.1 Steady Radiation Heat Flux ..........................................................................................95 Constant Air Flow Rate (1mm channel) ............................................................................95 Constant Air Flow Rate (0.5mm channel) .......................................................................100 Oscillating Air Flow Rate (1mm channel).......................................................................104 Oscillating Air Flow Rate (0.5mm channel)....................................................................108 “Dirty” Heat Flux Sensor.................................................................................................111 5.3.2 Unsteady Radiation Heat Flux ....................................................................................112 5.4 Data Processing Procedure Assessment.............................................................................114 Chapter 6 Discussion ...................................................................................................................123 6.1 Comparing Experimental and Numerical Results..............................................................123 6.2 Discussion on Data Processing Procedures .......................................................................132 6.3 Comparing RTD and Oscillation Method..........................................................................135 Chapter 7 Conclusion...................................................................................................................137