A Decoupling Method to Compute Near Field and Far Field Exposure Concentrations
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2024/01/01
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By Nicas M
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Description:In the near field/far field (NF/FF) dispersion construct, the analytical solutions for the NF and FF concentration equations, respectively denoted CNF(t) and CFF(t) in mg/m3, are coupled in their mathematical derivation. Depending on the form of the contaminant emission rate function G(t) (mg/min), deriving CNF(t) and CFF(t) can range from being relatively easy to impossible. A method is presented to more easily approximate these concentration functions. The method decouples the NF and FF equations by treating the NF as an isolated well-mixed space with volume VNF (m3) and supply/exhaust airflow rate β(m3) and treating the FF as an isolated well mixed-space with volume V (m3) and supply/exhaust airflow rate Q (m3). Assuming that each space contains a source with the same contaminant emission rate function G(t), a contaminant concentration function is derived for the FF zone, denoted CWMR1(t), and an independent contaminant concentration function is derived for the NF zone, denoted CWMR2(t). Deriving a concentration function for a single zone is far easier than deriving coupled concentration functions. It is shown that the sum CWMR1(t) + CWMR2(t) provides an excellent approximation of CNF(t) and that CWMR1(t) provides an excellent approximation of CFF(t). A discrete-time numerical solution for the CNF(t) and CFF(t) system based on a Markov matrix is also presented. [Description provided by NIOSH]
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ISSN:2398-7308
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Pages in Document:78-85
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Volume:68
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Issue:1
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NIOSHTIC Number:nn:20069744
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Citation:Ann Work Expo Health 2024 Jan; 68(1):78-85
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Contact Point Address:Mark Nicas, School of Public Health, Environmental Health Sciences Division, 2121 Berkeley Way, University of California, Berkeley, CA 94740-7360, USA
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Email:mnicas@berkeley.edu
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Federal Fiscal Year:2024
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Performing Organization:University of California, Berkeley
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Peer Reviewed:True
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Start Date:20050701
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Source Full Name:Annals of Work Exposures and Health
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End Date:20250630
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Main Document Checksum:urn:sha-512:68a59a37e1fd91a5e3698c1c9844f3a7c2f9188b69c8e34729ca1d59f712f9d1bee34b0741c3b625949f9638e92399f2dd018553271319207a6e4bafaddbbaae
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