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Appendix B: Peak Values and Threshold Crossing Probability

  1. David J. Wilson

Published Online: 17 SEP 2010

DOI: 10.1002/9780470937976.app2

Concentration Fluctuations and Averaging Time in Vapor Clouds

Concentration Fluctuations and Averaging Time in Vapor Clouds

How to Cite

Wilson, D. J. (2010) Appendix B: Peak Values and Threshold Crossing Probability, in Concentration Fluctuations and Averaging Time in Vapor Clouds, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470937976.app2

Publication History

  1. Published Online: 17 SEP 2010
  2. Published Print: 12 JAN 1995

ISBN Information

Print ISBN: 9780816906796

Online ISBN: 9780470937976

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Summary

This chapter contains sections titled:

  • Hazard Probability of Exceeding a Threshold for a Random Starting Time in an Established Steady Release

  • Probability G*(t) of First Crossing Threshold c*

  • Hazard Rate h* for a Steady Release Rate

  • Quasi-Steady Approximation for Time-Varying Release

  • Peak-to-Mean Concentrations

  • Rice's Theory for Threshold Upcrossing Rate N+

  • Threshold Crossing N+ Using In-Plume Statistics

  • Exponential pdf for Derivatives

  • Derivative Variance from Fluctuation Frequency Spectrum

  • Markov Spectrum for Derivatives

  • Von Karman Spectrum for Derivatives

  • Cutoff Frequency for Concentration Derivative Spectrum

  • Estimating In-Plume Derivative for Threshold Crossing Rate

  • Dependence of Peak Concentration on Averaging and Sampling Times

  • Summary of Working Equations for Threshold Crossing