1 Assessment and Improvement of the 2019 ASHRAE Handbook Model for Exhaust-To- Intake Dilution Calculations for Rooftop Exhaust
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Assessment and improvement of the 2019 ASHRAE Handbook model for exhaust-to- intake dilution calculations for rooftop exhaust systems (ASHRAE 1823-RP) Thesis Presented in Partial Fulfillment of the Requirements for the Degree Master of Science in the Graduate School of The Ohio State University By Saba Zakeri Shahvari Graduate Program in Mechanical Engineering The Ohio State University 2020 Thesis Committee Jordan Clark, Advisor Andy May 1 Copyrighted by Saba Zakeri Shahvari 2020 2 Abstract The HVAC Applications volume of the 2019 ASHRAE Handbook: Chapter 46 gives multiple procedures for sizing building exhaust stacks and fans. The most complex of these procedures directly calculates dilution at a receptor of interest using plume theory and several empirical constants. There is suggestion in the literature that this model leads to overly conservative dilution predictions in some cases. The purpose of this work is to determine whether the ASHRAE model can be improved to give more accurate dilution predictions. First, the predictions of the existing equation are evaluated against several existing wind tunnel and full-scale studies and their shortcomings noted. The results show that the 2019 model under-predicts observed dilution mainly in two cases: near the stack and when the plume was within the assumed recirculation region. The assumptions for initial plume spread, height of recirculation zone region, plume spread and plume trajectory were varied parametrically to identify a better model. This optimized model can increase dilution predictions by factors between 2 and 500, while bounding measured data in all cases analyzed. This can reduce the required momentum ratio by 20-70%, leading to much more efficient fan sizing and operation. Keywords: dispersion modeling, exhaust stacks, building air intakes, plume modeling, laboratory ventilation, hospital ventilation, vivariums iii Dedication Dedicated to my supervisor Dr. Jordan Clark for his help and guidance, and my family and friends for their support and encouragement from thousands of miles away. iv Acknowledgments I wish to express my sincere gratitude to my supervisor Dr. Jordan Clark for his advice and guidance through this research project. v Vita Saba Zakeri Shahvari Education BSc. in Mechanical Engineering at Amirkabir University of Technology, Tehran, Iran, May 2018 Highschool Diploma, Farzanegan High School, Bandarabbas, Iran, June 2013 Work Teaching associate at Amirkabir University of Technology, Tehran, Iran, Winter 2018 Fields of Study Major Field: Mechanical Engineering vi Table of Contents Abstract .............................................................................................................................. iii Dedication .......................................................................................................................... iv Acknowledgments............................................................................................................... v Vita ..................................................................................................................................... vi List of Tables ..................................................................................................................... ix List of Figures ..................................................................................................................... x Chapter 1. Introduction ....................................................................................................... 1 1.1 Height of recirculation zone or tallest active obstacle, htop ....................................... 3 1.2 Initial source size, σo ................................................................................................. 5 1.3 Lateral and vertical plume spread, y and z ............................................................ 6 1.4 Surrounding terrain surface roughness, z0 ................................................................ 6 Chapter 2. Methodology ..................................................................................................... 8 2.1 Hajra and Stathopoulos, 2012 ................................................................................... 8 2.2 Gupta et al., 2012 ...................................................................................................... 8 2.3 ASHRAE Research Project 805: Petersen, et.al, 1997 ........................................... 10 2.4 Schulman & Scire, 1991 ......................................................................................... 10 2.5 Wilson & Chui, 1994 .............................................................................................. 10 2.6 Wilson & Lamb, 1994............................................................................................. 11 Chapter 3. Results ............................................................................................................. 17 3.1 Existing equation evaluation ................................................................................... 17 3.1.1 Hajra and Stathopoulos, 2012 .......................................................................... 17 3.1.2 Gupta et al., 2012 ............................................................................................. 18 3.1.3 ASHRAE Research Project 805, Petersen, et.al, 1997 .................................... 20 3.1.4 Schulman & Scire, 1991 .................................................................................. 22 3.1.5 Wilson & Chui, 1994 ....................................................................................... 24 vii 3.1.6 Wilson & Lamb, 1994...................................................................................... 24 3.2 Optimization ........................................................................................................... 26 3.3 Evaluation of the recommended procedure to choose the surface roughness ........ 31 4 Conclusions and Recommendations .............................................................................. 33 Bibliography ..................................................................................................................... 35 Appendix A. ASHRAE Minimum Dilution Model ......................................................... 36 Appendix B. Optimization Results for All Data Bases..................................................... 40 viii List of Tables Table 1 Characteristic parameters of each test from Wilson and Chui, 1994 ................... 11 Table 2 Characteristic parameters of each test from Wilson and Lamb, 1994 ................. 12 Table 3 Progressive improvement of model through addition of variables and effect on objective function.............................................................................................................. 27 Table 4 Optimized values checked on other data sets results ........................................... 30 ix List of Figures Figure 1 Relationship between htop and hplume for three different scenarios........................ 4 Figure 2 Observed and predicted dilutions for Hajra & Stathopolous (2012) .................. 17 Figure 3 Observed and predicted dilutions from Gupta et al. (2012) ............................... 18 Figure 4 Observed and predicted dilutions from ASHRAE RP 805 (1997) ..................... 20 Figure 5 Observed and predicted dilutions from Schulman & Scire (1991) .................... 22 Figure 6 Observed and predicted dilutions from Wilson & Chui (1994) ......................... 24 Figure 7 Observed and predicted dilutions from Wilson & Chui (1994) ......................... 25 Figure 8 Effect of surface roughness on predicted dilution (1) ........................................ 31 Figure 9 Effect of surface roughness on predicted dilution (2) ........................................ 32 Figure 10 Original and optimized dilution predictions for Hajra & Stathepolus (2012) .. 40 Figure 11 Original and optimized dilution predictions for Gupta et al. (2012) ................ 41 Figure 12 Original and optimized dilution predictions for ASHRAE RP 805 (0 Degree) 42 Figure 13 Original and optimized dilution predictions for ASHRAE RP 805 (45 Degree) ........................................................................................................................................... 43 Figure 14 Original and optimized dilution predictions for Schulman & Scire, 1991 (0 Degree) .............................................................................................................................. 44 Figure 15 Original and optimized dilution predictions for Schulman & Scire, 1991 (45 Degree) .............................................................................................................................. 45 Figure 16 Log of dilution ratio versus distance from the stack (Original) ....................... 46 Figure 17 Log of dilution ratio versus distance from the stack (With cut-off) ................. 46 Figure 18 Log of dilution ratio versus distance from the stack (Optimized with the variable ) .......................................................................................................................... 47 Figure 19 Log of dilution ratio versus distance from the stack (Optimized with the variables and ) .............................................................................................................. 47 Figure 20 Log of dilution ratio versus distance from the stack (Optimized with the variables ay, az, and ) ...................................................................................................