A PHP Error was encountered

Severity: Notice

Message: Undefined offset: 0

Filename: controllers/Abstracts.php

Line Number: 95

Backtrace:

File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
Line: 95
Function: _error_handler

File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
Line: 315
Function: require_once

A PHP Error was encountered

Severity: Notice

Message: Trying to access array offset on value of type null

Filename: controllers/Abstracts.php

Line Number: 95

Backtrace:

File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
Line: 95
Function: _error_handler

File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
Line: 315
Function: require_once

A PHP Error was encountered

Severity: Notice

Message: Undefined index: id

Filename: controllers/Abstracts.php

Line Number: 97

Backtrace:

File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
Line: 97
Function: _error_handler

File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
Line: 315
Function: require_once

A PHP Error was encountered

Severity: Notice

Message: Undefined index: slug

Filename: controllers/Abstracts.php

Line Number: 100

Backtrace:

File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
Line: 100
Function: _error_handler

File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
Line: 315
Function: require_once

A PHP Error was encountered

Severity: Notice

Message: Undefined index: short_name

Filename: controllers/Abstracts.php

Line Number: 101

Backtrace:

File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
Line: 101
Function: _error_handler

File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
Line: 315
Function: require_once

A PHP Error was encountered

Severity: Notice

Message: Undefined index: id

Filename: controllers/Abstracts.php

Line Number: 105

Backtrace:

File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
Line: 105
Function: _error_handler

File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
Line: 315
Function: require_once

A PHP Error was encountered

Severity: Notice

Message: Undefined index: id

Filename: controllers/Abstracts.php

Line Number: 107

Backtrace:

File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
Line: 107
Function: _error_handler

File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
Line: 315
Function: require_once

A PHP Error was encountered

Severity: Notice

Message: Undefined index: id

Filename: controllers/Abstracts.php

Line Number: 109

Backtrace:

File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
Line: 109
Function: _error_handler

File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
Line: 315
Function: require_once

A PHP Error was encountered

Severity: Notice

Message: Undefined index: image

Filename: controllers/Abstracts.php

Line Number: 127

Backtrace:

File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
Line: 127
Function: _error_handler

File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
Line: 315
Function: require_once

A PHP Error was encountered

Severity: Notice

Message: Undefined index: name

Filename: controllers/Abstracts.php

Line Number: 138

Backtrace:

File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
Line: 138
Function: _error_handler

File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
Line: 315
Function: require_once

A PHP Error was encountered

Severity: Notice

Message: Undefined index: image

Filename: views/abstract.php

Line Number: 38

Backtrace:

File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/views/abstract.php
Line: 38
Function: _error_handler

File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 357
Function: include

File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 300
Function: _ci_load

File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/views/templates/site/mini-header-template.php
Line: 90
Function: view

File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 357
Function: include

File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 300
Function: _ci_load

File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/core/MY_Controller.php
Line: 101
Function: view

File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
Line: 141
Function: _render_page

File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
Line: 315
Function: require_once

https://www.mathematicsgroup.us/assets/images/default.png" data-alt="

A PHP Error was encountered

Severity: Notice

Message: Undefined index: name

Filename: views/abstract.php

Line Number: 38

Backtrace:

File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/views/abstract.php
Line: 38
Function: _error_handler

File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 357
Function: include

File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 300
Function: _ci_load

File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/views/templates/site/mini-header-template.php
Line: 90
Function: view

File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 357
Function: include

File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 300
Function: _ci_load

File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/core/MY_Controller.php
Line: 101
Function: view

File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
Line: 141
Function: _render_page

File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
Line: 315
Function: require_once

">
https://www.mathematicsgroup.us/journals/" >Home
  • A PHP Error was encountered

    Severity: Notice

    Message: Undefined index: slug

    Filename: views/abstract.php

    Line Number: 47

    Backtrace:

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/views/abstract.php
    Line: 47
    Function: _error_handler

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
    Line: 357
    Function: include

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
    Line: 300
    Function: _ci_load

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/views/templates/site/mini-header-template.php
    Line: 90
    Function: view

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
    Line: 357
    Function: include

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
    Line: 300
    Function: _ci_load

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/core/MY_Controller.php
    Line: 101
    Function: view

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
    Line: 141
    Function: _render_page

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
    Line: 315
    Function: require_once

  • https://www.mathematicsgroup.us/journals//about">About

    A PHP Error was encountered

    Severity: Notice

    Message: Undefined index: short_name

    Filename: views/abstract.php

    Line Number: 47

    Backtrace:

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/views/abstract.php
    Line: 47
    Function: _error_handler

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
    Line: 357
    Function: include

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
    Line: 300
    Function: _ci_load

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/views/templates/site/mini-header-template.php
    Line: 90
    Function: view

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
    Line: 357
    Function: include

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
    Line: 300
    Function: _ci_load

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/core/MY_Controller.php
    Line: 101
    Function: view

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
    Line: 141
    Function: _render_page

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
    Line: 315
    Function: require_once

  • A PHP Error was encountered

    Severity: Notice

    Message: Undefined index: slug

    Filename: views/abstract.php

    Line Number: 48

    Backtrace:

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/views/abstract.php
    Line: 48
    Function: _error_handler

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
    Line: 357
    Function: include

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
    Line: 300
    Function: _ci_load

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/views/templates/site/mini-header-template.php
    Line: 90
    Function: view

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
    Line: 357
    Function: include

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
    Line: 300
    Function: _ci_load

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/core/MY_Controller.php
    Line: 101
    Function: view

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
    Line: 141
    Function: _render_page

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
    Line: 315
    Function: require_once

  • https://www.mathematicsgroup.us/journals//aims-and-scope" class="leftmenu">Aims and Scope
  • A PHP Error was encountered

    Severity: Notice

    Message: Undefined index: slug

    Filename: views/abstract.php

    Line Number: 50

    Backtrace:

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/views/abstract.php
    Line: 50
    Function: _error_handler

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
    Line: 357
    Function: include

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
    Line: 300
    Function: _ci_load

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/views/templates/site/mini-header-template.php
    Line: 90
    Function: view

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
    Line: 357
    Function: include

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
    Line: 300
    Function: _ci_load

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/core/MY_Controller.php
    Line: 101
    Function: view

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
    Line: 141
    Function: _render_page

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
    Line: 315
    Function: require_once

  • https://www.mathematicsgroup.us/journals//call-for-papers" class="leftmenu">Call for Papers
  • A PHP Error was encountered

    Severity: Notice

    Message: Undefined index: slug

    Filename: views/abstract.php

    Line Number: 53

    Backtrace:

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/views/abstract.php
    Line: 53
    Function: _error_handler

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
    Line: 357
    Function: include

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
    Line: 300
    Function: _ci_load

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/views/templates/site/mini-header-template.php
    Line: 90
    Function: view

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
    Line: 357
    Function: include

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
    Line: 300
    Function: _ci_load

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/core/MY_Controller.php
    Line: 101
    Function: view

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
    Line: 141
    Function: _render_page

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
    Line: 315
    Function: require_once

  • https://www.mathematicsgroup.us/journals//indexing-listing" class="leftmenu">Indexing & Archiving
  • A PHP Error was encountered

    Severity: Notice

    Message: Undefined index: slug

    Filename: views/abstract.php

    Line Number: 56

    Backtrace:

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/views/abstract.php
    Line: 56
    Function: _error_handler

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
    Line: 357
    Function: include

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
    Line: 300
    Function: _ci_load

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/views/templates/site/mini-header-template.php
    Line: 90
    Function: view

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
    Line: 357
    Function: include

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
    Line: 300
    Function: _ci_load

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/core/MY_Controller.php
    Line: 101
    Function: view

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
    Line: 141
    Function: _render_page

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
    Line: 315
    Function: require_once

  • https://www.mathematicsgroup.us/journals//oai-pmh" class="leftmenu">OAI-PMH
  • https://www.mathematicsgroup.us/journals//submission">Submit Manuscript
  • https://www.mathematicsgroup.us/journals//contact-us">Contact Us
  •  

    Indexing & Archiving

    Readmore

    A PHP Error was encountered

    Severity: Notice

    Message: Undefined index: slug

    Filename: views/abstract.php

    Line Number: 273

    Backtrace:

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/views/abstract.php
    Line: 273
    Function: _error_handler

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
    Line: 357
    Function: include

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
    Line: 300
    Function: _ci_load

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/views/templates/site/mini-header-template.php
    Line: 90
    Function: view

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
    Line: 357
    Function: include

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
    Line: 300
    Function: _ci_load

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/core/MY_Controller.php
    Line: 101
    Function: view

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
    Line: 141
    Function: _render_page

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
    Line: 315
    Function: require_once

    .png" class="bdmi img-responsive" alt="

    A PHP Error was encountered

    Severity: Notice

    Message: Undefined index: name

    Filename: views/abstract.php

    Line Number: 273

    Backtrace:

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/views/abstract.php
    Line: 273
    Function: _error_handler

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
    Line: 357
    Function: include

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
    Line: 300
    Function: _ci_load

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/views/templates/site/mini-header-template.php
    Line: 90
    Function: view

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
    Line: 357
    Function: include

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
    Line: 300
    Function: _ci_load

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/core/MY_Controller.php
    Line: 101
    Function: view

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
    Line: 141
    Function: _render_page

    File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
    Line: 315
    Function: require_once

    ">

      Abstract

      Open Access Research Article Article ID: AMP-7-213

      Mathematical modeling of velocity field induced by the vortex

      H Kalis, I Kangro* and A Aboltins

      In new technological applications, it is important to use vortex distributions in the area for obtaining large velocity fields. This paper, it was calculated the distribution of the velocity field and distribution of stream function for ideal incompressible fluid, induced by a different system of the finite number of vortex threads: 1) circular vortex lines in a finite cylinder, positioned on its inner, 2) spiral vortex threads, positioned on the inner surface of the finite cylinder or cone, and 3) linear vortex lines in the plane channel, positioned on its boundary.

      An original method was used to calculate the components of the velocity vectors. Such kind of procedure allows calculating the velocity fields inside the domain depending on the arrangement, the intensity, and the radii of vortex lines. In this paper, we have developed a mathematical model for the process in the element of Hurricane Energy Transformer. This element is a central figure in the so-called RKA (ReaktionsKraftAnlage) used on the cars’ roofs.

      Keywords:

      Published on: Apr 16, 2024 Pages: 96-106

      Full Text PDF Full Text HTML DOI: 10.17352/amp.000113
      CrossMark Publons Harvard Library HOLLIS Search IT Semantic Scholar Get Citation Base Search Scilit OAI-PMH ResearchGate Academic Microsoft GrowKudos Universite de Paris UW Libraries SJSU King Library SJSU King Library NUS Library McGill DET KGL BIBLiOTEK JCU Discovery Universidad De Lima WorldCat VU on WorldCat

      Indexing/Archiving

      Pinterest on

      A PHP Error was encountered

      Severity: Notice

      Message: Undefined index: short_name

      Filename: views/abstract.php

      Line Number: 572

      Backtrace:

      File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/views/abstract.php
      Line: 572
      Function: _error_handler

      File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
      Line: 357
      Function: include

      File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
      Line: 300
      Function: _ci_load

      File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/views/templates/site/mini-header-template.php
      Line: 90
      Function: view

      File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
      Line: 357
      Function: include

      File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
      Line: 300
      Function: _ci_load

      File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/core/MY_Controller.php
      Line: 101
      Function: view

      File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
      Line: 141
      Function: _render_page

      File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
      Line: 315
      Function: require_once

      /">
      '); }else if(response.entity=='reviewers'){ $('#pz-search-results-2').removeClass('list-unstyled').addClass('list-inline'); $('#pz-search-results-2').append('
    • '+value.name+'
    • '); } }); }else{ $('#pz-search-results-2').html('
      No results found!
      '); } } }