{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T02:45:56Z","timestamp":1760150756348,"version":"build-2065373602"},"reference-count":27,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2022,1,20]],"date-time":"2022-01-20T00:00:00Z","timestamp":1642636800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Applied Sciences"],"abstract":"<jats:p>The physical characteristics of water sprays profoundly influence the efficacy with which fires are extinguished. One of the most important physical characteristics of water sprays is the median diameter of the water droplets. However, this parameter is difficult to measure without resorting to the use of specialised equipment. Furthermore, the distribution of the size of water droplets and their initial velocity are profoundly sensitive to the pressure at the nozzle head. This paper presents a simple technique to determine the median droplet size of a water spray produced by a nozzle. The method required only two experiments to determine the mass flux distribution generated by a nozzle operating at two known pressures. A computational fluid dynamics (CFD) program was then used to estimate the median diameter of the water spray under these conditions. The median droplets generated when the nozzle was operating under a different pressure can be calculated using an established empirical relationship. The approach advocated in this paper is supported by invoking Whewell\u2019s principle of consilience of inductions. This was achieved by observing that the CFD software accurately predicts the mass flux distribution when the new pressure and estimated median diameter of the droplets were used as inputs. This provides independent evidence that the proposed approach has some merit. The findings of this research may contribute to establish a technique in calculating the median diameter of droplets when direct measurement of droplet diameter is not available.<\/jats:p>","DOI":"10.3390\/app12031073","type":"journal-article","created":{"date-parts":[[2022,1,20]],"date-time":"2022-01-20T22:40:20Z","timestamp":1642718420000},"page":"1073","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["An Approach to Determine the Median Diameter of Droplets in a Water-Mist Spray"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5748-9482","authenticated-orcid":false,"given":"H. M. Iqbal","family":"Mahmud","sequence":"first","affiliation":[{"name":"Department of Civil Engineering, Khulna University of Engineering & Technology, Khulna 9203, Bangladesh"},{"name":"Institute of Sustainable Industries and Liveable Cities, Victoria University, P.O. Box 14428, Melbourne, VIC 8001, Australia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Graham","family":"Thorpe","sequence":"additional","affiliation":[{"name":"Institute of Sustainable Industries and Liveable Cities, Victoria University, P.O. Box 14428, Melbourne, VIC 8001, Australia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1831-6754","authenticated-orcid":false,"given":"Khalid A. M.","family":"Moinuddin","sequence":"additional","affiliation":[{"name":"Institute of Sustainable Industries and Liveable Cities, Victoria University, P.O. Box 14428, Melbourne, VIC 8001, Australia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,1,20]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"167","DOI":"10.2174\/1874396X01004010167","article-title":"Fire Control and Suppression by Water-Mist Systems","volume":"4","author":"Santangelo","year":"2010","journal-title":"Open Thermodyn. J."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"190","DOI":"10.1002\/fam.2279","article-title":"Study of water-mist behaviour in hot air induced by a room fire: Model development, validation and verification","volume":"40","author":"Mahmud","year":"2016","journal-title":"Fire Mater."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1016\/j.firesaf.2016.01.015","article-title":"Experimental and numerical study of high-pressure water-mist nozzle sprays","volume":"81","author":"Mahmud","year":"2016","journal-title":"Fire Saf. J."},{"key":"ref_4","first-page":"32","article-title":"A review of water mist fire suppression systems- fundamental studies","volume":"10","author":"Liu","year":"2000","journal-title":"J. Fire Prot. Eng."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"2547","DOI":"10.1016\/j.proci.2010.06.107","article-title":"A comprehensive methodology for characterising sprinkler sprays","volume":"33","author":"Ren","year":"2011","journal-title":"Proc. Combust. Inst."},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Lefebvre, A.H. (1989). Atomization and Sprays, Hemisphere.","DOI":"10.1201\/9781482227857"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"1353","DOI":"10.1016\/j.expthermflusci.2010.06.008","article-title":"Characterisation of high-pressure water-mist sprays: Experimental analysis of droplet size and dispersion","volume":"34","author":"Santangelo","year":"2010","journal-title":"Exp. Therm. Fluid Sci."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"254","DOI":"10.1007\/BF02588927","article-title":"Effect of Drop Size on Sprinkler Performance","volume":"6","author":"Yao","year":"1970","journal-title":"Fire Technol."},{"key":"ref_9","unstructured":"Yu, H.Z., and Symonds, A.P. (1982). Sprinkler Drop-Size Measurements, Part I: An Investigation of the FMRC PMS Drop-Size Measuring System, Factory Mutual Research Corporation. FMRC Technical Report."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"1165","DOI":"10.3801\/IAFSS.FSS.1-1165","article-title":"Investigation of Spray Patterns of Selected Sprinklers with the FMRC Drop Size Measuring System","volume":"1","author":"Yu","year":"1986","journal-title":"Fire Saf. Sci."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1177\/104239159400600202","article-title":"Measurements of Water Density and Drop Size Distributions of Selected ESFR Sprinklers","volume":"6","author":"Chan","year":"1994","journal-title":"J. Fire Prot. Eng."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1007\/s00271-003-0069-3","article-title":"Sprinkler droplet size distribution measured with an optical spectropluviometer","volume":"22","author":"Montero","year":"2003","journal-title":"Irrig. Sci."},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Dwomoh, F.A., Yuan, S., Li, H., Zhu, X., Liu, J., Mensah, R., and Fordjour, A. (2020). Analysis of Water Droplet Distribution in Wind for the Fluidic Sprinkler. Water, 12.","DOI":"10.3390\/w12123320"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"211","DOI":"10.2190\/AF.18.3.b","article-title":"A review on determining water spray droplet characteristics by laser techniques","volume":"18","author":"Wang","year":"2008","journal-title":"J. Appl. Fire Sci."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1016\/j.nucengdes.2017.08.031","article-title":"Numerical method for determining water droplets size distributions of spray nozzles using a two-zone model","volume":"324","author":"Plumecocq","year":"2017","journal-title":"Nucl. Eng. Des."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"483","DOI":"10.1007\/s10694-013-0335-8","article-title":"Modeling and Simulation of High Pressure Water Mist Systems","volume":"50","author":"Sikanen","year":"2014","journal-title":"Fire Technol."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"1309","DOI":"10.1016\/S0360-1323(03)00134-3","article-title":"An experimental and numerical study on fire suppression using a water-mist in an enclosure","volume":"38","author":"Kim","year":"2003","journal-title":"Build. Environ."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"32","DOI":"10.1016\/j.firesaf.2011.08.004","article-title":"Experimental study of suppressing Poly (methyl methacrylate) fires using water mists","volume":"47","author":"Yao","year":"2012","journal-title":"Fire Saf. J."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.firesaf.2014.05.003","article-title":"Experimental and numerical study of pool fire suppression using water mist","volume":"67","author":"Jenft","year":"2014","journal-title":"Fire Saf. J."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"174","DOI":"10.1016\/j.expthermflusci.2013.09.008","article-title":"Experimental research on the water mist fire suppression performance in an enclosed space by changing the characteristics of nozzles","volume":"52","author":"Liu","year":"2014","journal-title":"Exp. Therm. Fluid Sci."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"96","DOI":"10.1016\/j.firesaf.2014.05.009","article-title":"Characteristics of smoke extraction by natural ventilation during a fire in a shallow urban road tunnel with roof openings","volume":"67","author":"Ura","year":"2014","journal-title":"Fire Saf. J."},{"key":"ref_22","unstructured":"DiNenno, P.J. (2008). Automatic Sprinkler System Calculations. The SFPE Handbook of Fire Protection Engineering, National Fire Protection Association. [4th ed.]."},{"key":"ref_23","unstructured":"McGrattan, K., Hostikka, S., Floyd, J., McDermott, R., and Vanella, M. (2021). Fire Dynamics Simulator (Version 6), Technical Reference Guide, Volume 1: Mathematical Model, NIST Special Publication 1018-1, U.S. Department of Commerce. [6th ed.]. Revision: FDS6.7.7-0-gfe0d4ef38."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"800","DOI":"10.1071\/WF17126","article-title":"Simulation study of grass fire using a physics-based model: Striving towards numerical rigour and the effect of grass height on the rate-of-spread","volume":"27","author":"Moinuddin","year":"2018","journal-title":"Int. J. Wildland Fire"},{"key":"ref_25","unstructured":"McGrattan, K., Hostikka, S., Floyd, J., McDermott, R., and Vanella, M. (2021). Fire Dynamics Simulator (Version 6), User\u2019s Guide, NIST Special Publication 1019, U.S. Department of Commerce. [6th ed.]. Revision: FDS6.7.7-0-gfe0d4ef38."},{"key":"ref_26","doi-asserted-by":"crossref","unstructured":"Taylor, B.N., and Kuyatt, C.E. (1994). Guidelines for Evaluating and Expressing the Uncertainty of NIST Measurement Results, National Institute of Standards and Technology (NIST). NIST Technical Note 1297.","DOI":"10.6028\/NIST.TN.1297"},{"key":"ref_27","unstructured":"John, W. (1840). The Philosophy of the Inductive Sciences\u2014Founded Upon Their History, Parker Publication."}],"container-title":["Applied Sciences"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2076-3417\/12\/3\/1073\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T22:04:48Z","timestamp":1760133888000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2076-3417\/12\/3\/1073"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,1,20]]},"references-count":27,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2022,2]]}},"alternative-id":["app12031073"],"URL":"https:\/\/doi.org\/10.3390\/app12031073","relation":{},"ISSN":["2076-3417"],"issn-type":[{"type":"electronic","value":"2076-3417"}],"subject":[],"published":{"date-parts":[[2022,1,20]]}}}