Mathematical model of a fountain with a water picture in the shape of an hourglass

Mathematical model of a fountain with a water picture in the shape of an hourglass

The work presents a mathematical model of a fountain providing an hourglass-shaped water image based on four of its basic parameters: height H, coefficient of contraction χ, diameter of n nozzles arrangement Dna, and coefficient of contraction location σ. The developed model makes possible to determ...

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Main Authors: Peszynski Kazimierz, Perczynski Daniel, Piwecka Lidia
Format: Article
Language:English
Published: EDP Sciences 2019-01-01
Series:EPJ Web of Conferences
Online Access:https://www.epj-conferences.org/articles/epjconf/pdf/2019/18/epjconf_efm18_02064.pdf
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spelling doaj-49ac535a30ad4ab2b440e8cc59b7ee442021-08-02T11:35:45ZengEDP SciencesEPJ Web of Conferences2100-014X2019-01-012130206410.1051/epjconf/201921302064epjconf_efm18_02064Mathematical model of a fountain with a water picture in the shape of an hourglassPeszynski Kazimierz0Perczynski Daniel1Piwecka Lidia2UTP University of Science and TechnologyUTP University of Science and TechnologyUTP University of Science and TechnologyThe work presents a mathematical model of a fountain providing an hourglass-shaped water image based on four of its basic parameters: height H, coefficient of contraction χ, diameter of n nozzles arrangement Dna, and coefficient of contraction location σ. The developed model makes possible to determine the angle α specifying the slope of the nozzles to the horizontal plane and determining the remaining parameters of the fountain, especially its outer diameter Df as well as the diameter of the position of the stream tops Dmax. The developed model has been implemented in an Excel spreadsheet, which enables quick conversion of desired water images. The developed model works for n≤24 nozzles, however, derived dependencies allow for a quick extension of the model for n>24.https://www.epj-conferences.org/articles/epjconf/pdf/2019/18/epjconf_efm18_02064.pdf
collection DOAJ
language English
format Article
sources DOAJ
author Peszynski Kazimierz
Perczynski Daniel
Piwecka Lidia
spellingShingle Peszynski Kazimierz
Perczynski Daniel
Piwecka Lidia
Mathematical model of a fountain with a water picture in the shape of an hourglass
EPJ Web of Conferences
author_facet Peszynski Kazimierz
Perczynski Daniel
Piwecka Lidia
author_sort Peszynski Kazimierz
title Mathematical model of a fountain with a water picture in the shape of an hourglass
title_short Mathematical model of a fountain with a water picture in the shape of an hourglass
title_full Mathematical model of a fountain with a water picture in the shape of an hourglass
title_fullStr Mathematical model of a fountain with a water picture in the shape of an hourglass
title_full_unstemmed Mathematical model of a fountain with a water picture in the shape of an hourglass
title_sort mathematical model of a fountain with a water picture in the shape of an hourglass
publisher EDP Sciences
series EPJ Web of Conferences
issn 2100-014X
publishDate 2019-01-01
description The work presents a mathematical model of a fountain providing an hourglass-shaped water image based on four of its basic parameters: height H, coefficient of contraction χ, diameter of n nozzles arrangement Dna, and coefficient of contraction location σ. The developed model makes possible to determine the angle α specifying the slope of the nozzles to the horizontal plane and determining the remaining parameters of the fountain, especially its outer diameter Df as well as the diameter of the position of the stream tops Dmax. The developed model has been implemented in an Excel spreadsheet, which enables quick conversion of desired water images. The developed model works for n≤24 nozzles, however, derived dependencies allow for a quick extension of the model for n>24.
url https://www.epj-conferences.org/articles/epjconf/pdf/2019/18/epjconf_efm18_02064.pdf
work_keys_str_mv AT peszynskikazimierz mathematicalmodelofafountainwithawaterpictureintheshapeofanhourglass
AT perczynskidaniel mathematicalmodelofafountainwithawaterpictureintheshapeofanhourglass
AT piweckalidia mathematicalmodelofafountainwithawaterpictureintheshapeofanhourglass
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