Theoretical Analysis and Semianalytical Solutions for a Turbulent Buoyant Hydrogen-Air Jet
Semianalytical solutions are developed for turbulent hydrogen-air plume. We derived analytical expressions for plume centerline variables (radius, velocity, and density deficit) in terms of a single universal function, called plume function. By combining the obtained analytical expressions of center...
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Format: | Article |
Language: | English |
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Wiley
2012-01-01
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Series: | Journal of Applied Mathematics |
Online Access: | http://dx.doi.org/10.1155/2012/710172 |
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author | M. F. El-Amin Shuyu Sun Amgad Salama |
author_facet | M. F. El-Amin Shuyu Sun Amgad Salama |
author_sort | M. F. El-Amin |
collection | DOAJ |
description | Semianalytical solutions are developed for turbulent hydrogen-air plume. We derived analytical expressions for plume centerline variables (radius, velocity, and density deficit) in terms of a single universal function, called plume function. By combining the obtained analytical expressions of centerline variables with empirical Gaussian expressions of the mean variables, we obtain semianalytical expressions for mean quantities of hydrogen-air plume (velocity, density deficit, and mass fraction). |
format | Article |
id | doaj-art-dcb6935d820f47ad8f22dcd0c072302b |
institution | Kabale University |
issn | 1110-757X 1687-0042 |
language | English |
publishDate | 2012-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Applied Mathematics |
spelling | doaj-art-dcb6935d820f47ad8f22dcd0c072302b2025-02-03T06:13:05ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/710172710172Theoretical Analysis and Semianalytical Solutions for a Turbulent Buoyant Hydrogen-Air JetM. F. El-Amin0Shuyu Sun1Amgad Salama2Computational Transport Phenomena Laboratory (CTPL), Physical Sciences and Engineering Division (PSE), King Abdullah University of Science and Technology (KAUST), Thuwal , Jeddah 23955-6900, Saudi ArabiaComputational Transport Phenomena Laboratory (CTPL), Physical Sciences and Engineering Division (PSE), King Abdullah University of Science and Technology (KAUST), Thuwal , Jeddah 23955-6900, Saudi ArabiaComputational Transport Phenomena Laboratory (CTPL), Physical Sciences and Engineering Division (PSE), King Abdullah University of Science and Technology (KAUST), Thuwal , Jeddah 23955-6900, Saudi ArabiaSemianalytical solutions are developed for turbulent hydrogen-air plume. We derived analytical expressions for plume centerline variables (radius, velocity, and density deficit) in terms of a single universal function, called plume function. By combining the obtained analytical expressions of centerline variables with empirical Gaussian expressions of the mean variables, we obtain semianalytical expressions for mean quantities of hydrogen-air plume (velocity, density deficit, and mass fraction).http://dx.doi.org/10.1155/2012/710172 |
spellingShingle | M. F. El-Amin Shuyu Sun Amgad Salama Theoretical Analysis and Semianalytical Solutions for a Turbulent Buoyant Hydrogen-Air Jet Journal of Applied Mathematics |
title | Theoretical Analysis and Semianalytical Solutions for a Turbulent Buoyant Hydrogen-Air Jet |
title_full | Theoretical Analysis and Semianalytical Solutions for a Turbulent Buoyant Hydrogen-Air Jet |
title_fullStr | Theoretical Analysis and Semianalytical Solutions for a Turbulent Buoyant Hydrogen-Air Jet |
title_full_unstemmed | Theoretical Analysis and Semianalytical Solutions for a Turbulent Buoyant Hydrogen-Air Jet |
title_short | Theoretical Analysis and Semianalytical Solutions for a Turbulent Buoyant Hydrogen-Air Jet |
title_sort | theoretical analysis and semianalytical solutions for a turbulent buoyant hydrogen air jet |
url | http://dx.doi.org/10.1155/2012/710172 |
work_keys_str_mv | AT mfelamin theoreticalanalysisandsemianalyticalsolutionsforaturbulentbuoyanthydrogenairjet AT shuyusun theoreticalanalysisandsemianalyticalsolutionsforaturbulentbuoyanthydrogenairjet AT amgadsalama theoreticalanalysisandsemianalyticalsolutionsforaturbulentbuoyanthydrogenairjet |