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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Main Authors: M. F. El-Amin, Shuyu Sun, Amgad Salama
Format: Article
Language:English
Published: Wiley 2012-01-01
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).
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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
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AT shuyusun theoreticalanalysisandsemianalyticalsolutionsforaturbulentbuoyanthydrogenairjet
AT amgadsalama theoreticalanalysisandsemianalyticalsolutionsforaturbulentbuoyanthydrogenairjet