Proceedings of the Seminar on Rolling, Metal Forming and Products


ISSN 2594-5297

Title

MATHEMATICAL MODELS THROW LIGHT ON GALVANIZING LINES

MATHEMATICAL MODELS THROW LIGHT ON GALVANIZING LINES

DOI

10.5151/2594-5297-2005-13941-0010

Downloads

234 Downloads

Abstract

We summarize in this presentation the achievements of several years of modeling efforts at SIDERAR's hot dip galvanizing lines. We discuss developments for different concrete applications: a mathematical model of the non-oxidizing furnace, an energy balance of the Zn pot, and a study of the factors that interfere with the accurate strip temperature measurement with the lines infrared pyrometers.

 

We summarize in this presentation the achievements of several years of modeling efforts at SIDERAR's hot dip galvanizing lines. We discuss developments for different concrete applications: a mathematical model of the non-oxidizing furnace, an energy balance of the Zn pot, and a study of the factors that interfere with the accurate strip temperature measurement with the lines infrared pyrometers.

Keywords

Hot dip Galvanizing lines; Continuous annealing; Oxycombustion; Infrared pyrometers; Zn pot; Mathematical models

Hot dip Galvanizing lines; Continuous annealing; Oxycombustion; Infrared pyrometers; Zn pot; Mathematical models

How to refer

Migliorino, Diego; Cervellini, Gabriel; Etcheverry, Javier I.; Jacobsen, Alejandro. MATHEMATICAL MODELS THROW LIGHT ON GALVANIZING LINES , p. 79-90. In: 43º Seminário de Laminação, Processos e Produtos Laminados e Revestidos, Curitiba, PR, 2006.
ISSN: 2594-5297 , DOI 10.5151/2594-5297-2005-13941-0010

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(1/1) ErrorException

fwrite(): write of 1826 bytes failed with errno=28 No space left on device

in StreamHandler.php line 131
at HandleExceptions->handleError(8, 'fwrite(): write of 1826 bytes failed with errno=28 No space left on device', '/var/www/webroot/ROOT/vendor/monolog/monolog/src/Monolog/Handler/StreamHandler.php', 131, array('stream' => resource, 'record' => array('message' => 'file_put_contents(): write of 311 bytes failed with errno=28 No space left on device', 'context' => array('exception' => object(ErrorException)), 'level' => 400, 'level_name' => 'ERROR', 'channel' => 'production', 'datetime' => object(DateTime), 'extra' => array(), 'formatted' => '[2025-05-31 19:33:09] production.ERROR: file_put_contents(): write of 311 bytes failed with errno=28 No space left on device {"exception":"[object] (ErrorException(code: 0): file_put_contents(): write of 311 bytes failed with errno=28 No space left on device at /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:122)[stacktrace]#0 [internal function]: Illuminate\\\\Foundation\\\\Bootstrap\\\\HandleExceptions->handleError(8, \'file_put_conten...\', \'/var/www/webroo...\', 122, Array)#1 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php(122): file_put_contents(\'/var/www/webroo...\', \'a:5:{s:6:\\"_toke...\', 2)#2 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/FileSessionHandler.php(83): Illuminate\\\\Filesystem\\\\Filesystem->put(\'/var/www/webroo...\', \'a:5:{s:6:\\"_toke...\', true)#3 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/Store.php(128): Illuminate\\\\Session\\\\FileSessionHandler->write(\'fu0rPLyiA0D9BxX...\', \'a:5:{s:6:\\"_toke...\')#4 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/Middleware/StartSession.php(87): Illuminate\\\\Session\\\\Store->save()#5 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Foundation/Http/Kernel.php(218): Illuminate\\\\Session\\\\Middleware\\\\StartSession->terminate(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#6 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Foundation/Http/Kernel.php(189): Illuminate\\\\Foundation\\\\Http\\\\Kernel->terminateMiddleware(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#7 /var/www/webroot/ROOT/public/index.php(59): Illuminate\\\\Foundation\\\\Http\\\\Kernel->terminate(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#8 {main}"} ')))
at fwrite(resource, '[2025-05-31 19:33:09] production.ERROR: file_put_contents(): write of 311 bytes failed with errno=28 No space left on device {"exception":"[object] (ErrorException(code: 0): file_put_contents(): write of 311 bytes failed with errno=28 No space left on device at /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:122)[stacktrace]#0 [internal function]: Illuminate\\\\Foundation\\\\Bootstrap\\\\HandleExceptions->handleError(8, \'file_put_conten...\', \'/var/www/webroo...\', 122, Array)#1 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php(122): file_put_contents(\'/var/www/webroo...\', \'a:5:{s:6:\\"_toke...\', 2)#2 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/FileSessionHandler.php(83): Illuminate\\\\Filesystem\\\\Filesystem->put(\'/var/www/webroo...\', \'a:5:{s:6:\\"_toke...\', true)#3 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/Store.php(128): Illuminate\\\\Session\\\\FileSessionHandler->write(\'fu0rPLyiA0D9BxX...\', \'a:5:{s:6:\\"_toke...\')#4 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/Middleware/StartSession.php(87): Illuminate\\\\Session\\\\Store->save()#5 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Foundation/Http/Kernel.php(218): Illuminate\\\\Session\\\\Middleware\\\\StartSession->terminate(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#6 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Foundation/Http/Kernel.php(189): Illuminate\\\\Foundation\\\\Http\\\\Kernel->terminateMiddleware(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#7 /var/www/webroot/ROOT/public/index.php(59): Illuminate\\\\Foundation\\\\Http\\\\Kernel->terminate(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#8 {main}"} ')in StreamHandler.php line 131
at StreamHandler->streamWrite(resource, array('message' => 'file_put_contents(): write of 311 bytes failed with errno=28 No space left on device', 'context' => array('exception' => object(ErrorException)), 'level' => 400, 'level_name' => 'ERROR', 'channel' => 'production', 'datetime' => object(DateTime), 'extra' => array(), 'formatted' => '[2025-05-31 19:33:09] production.ERROR: file_put_contents(): write of 311 bytes failed with errno=28 No space left on device {"exception":"[object] (ErrorException(code: 0): file_put_contents(): write of 311 bytes failed with errno=28 No space left on device at /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:122)[stacktrace]#0 [internal function]: Illuminate\\\\Foundation\\\\Bootstrap\\\\HandleExceptions->handleError(8, \'file_put_conten...\', \'/var/www/webroo...\', 122, Array)#1 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php(122): file_put_contents(\'/var/www/webroo...\', \'a:5:{s:6:\\"_toke...\', 2)#2 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/FileSessionHandler.php(83): Illuminate\\\\Filesystem\\\\Filesystem->put(\'/var/www/webroo...\', \'a:5:{s:6:\\"_toke...\', true)#3 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/Store.php(128): Illuminate\\\\Session\\\\FileSessionHandler->write(\'fu0rPLyiA0D9BxX...\', \'a:5:{s:6:\\"_toke...\')#4 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/Middleware/StartSession.php(87): Illuminate\\\\Session\\\\Store->save()#5 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Foundation/Http/Kernel.php(218): Illuminate\\\\Session\\\\Middleware\\\\StartSession->terminate(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#6 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Foundation/Http/Kernel.php(189): Illuminate\\\\Foundation\\\\Http\\\\Kernel->terminateMiddleware(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#7 /var/www/webroot/ROOT/public/index.php(59): Illuminate\\\\Foundation\\\\Http\\\\Kernel->terminate(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#8 {main}"} '))in StreamHandler.php line 117
at StreamHandler->write(array('message' => 'file_put_contents(): write of 311 bytes failed with errno=28 No space left on device', 'context' => array('exception' => object(ErrorException)), 'level' => 400, 'level_name' => 'ERROR', 'channel' => 'production', 'datetime' => object(DateTime), 'extra' => array(), 'formatted' => '[2025-05-31 19:33:09] production.ERROR: file_put_contents(): write of 311 bytes failed with errno=28 No space left on device {"exception":"[object] (ErrorException(code: 0): file_put_contents(): write of 311 bytes failed with errno=28 No space left on device at /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:122)[stacktrace]#0 [internal function]: Illuminate\\\\Foundation\\\\Bootstrap\\\\HandleExceptions->handleError(8, \'file_put_conten...\', \'/var/www/webroo...\', 122, Array)#1 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php(122): file_put_contents(\'/var/www/webroo...\', \'a:5:{s:6:\\"_toke...\', 2)#2 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/FileSessionHandler.php(83): Illuminate\\\\Filesystem\\\\Filesystem->put(\'/var/www/webroo...\', \'a:5:{s:6:\\"_toke...\', true)#3 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/Store.php(128): Illuminate\\\\Session\\\\FileSessionHandler->write(\'fu0rPLyiA0D9BxX...\', \'a:5:{s:6:\\"_toke...\')#4 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/Middleware/StartSession.php(87): Illuminate\\\\Session\\\\Store->save()#5 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Foundation/Http/Kernel.php(218): Illuminate\\\\Session\\\\Middleware\\\\StartSession->terminate(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#6 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Foundation/Http/Kernel.php(189): Illuminate\\\\Foundation\\\\Http\\\\Kernel->terminateMiddleware(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#7 /var/www/webroot/ROOT/public/index.php(59): Illuminate\\\\Foundation\\\\Http\\\\Kernel->terminate(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#8 {main}"} '))in AbstractProcessingHandler.php line 39
at AbstractProcessingHandler->handle(array('message' => 'file_put_contents(): write of 311 bytes failed with errno=28 No space left on device', 'context' => array('exception' => object(ErrorException)), 'level' => 400, 'level_name' => 'ERROR', 'channel' => 'production', 'datetime' => object(DateTime), 'extra' => array(), 'formatted' => '[2025-05-31 19:33:09] production.ERROR: file_put_contents(): write of 311 bytes failed with errno=28 No space left on device {"exception":"[object] (ErrorException(code: 0): file_put_contents(): write of 311 bytes failed with errno=28 No space left on device at /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:122)[stacktrace]#0 [internal function]: Illuminate\\\\Foundation\\\\Bootstrap\\\\HandleExceptions->handleError(8, \'file_put_conten...\', \'/var/www/webroo...\', 122, Array)#1 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php(122): file_put_contents(\'/var/www/webroo...\', \'a:5:{s:6:\\"_toke...\', 2)#2 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/FileSessionHandler.php(83): Illuminate\\\\Filesystem\\\\Filesystem->put(\'/var/www/webroo...\', \'a:5:{s:6:\\"_toke...\', true)#3 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/Store.php(128): Illuminate\\\\Session\\\\FileSessionHandler->write(\'fu0rPLyiA0D9BxX...\', \'a:5:{s:6:\\"_toke...\')#4 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/Middleware/StartSession.php(87): Illuminate\\\\Session\\\\Store->save()#5 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Foundation/Http/Kernel.php(218): Illuminate\\\\Session\\\\Middleware\\\\StartSession->terminate(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#6 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Foundation/Http/Kernel.php(189): Illuminate\\\\Foundation\\\\Http\\\\Kernel->terminateMiddleware(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#7 /var/www/webroot/ROOT/public/index.php(59): Illuminate\\\\Foundation\\\\Http\\\\Kernel->terminate(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#8 {main}"} '))in Logger.php line 344
at Logger->addRecord(400, 'file_put_contents(): write of 311 bytes failed with errno=28 No space left on device', array('exception' => object(ErrorException)))in Logger.php line 707
at Logger->error('file_put_contents(): write of 311 bytes failed with errno=28 No space left on device', array('exception' => object(ErrorException)))in Writer.php line 203
at Writer->writeLog('error', 'file_put_contents(): write of 311 bytes failed with errno=28 No space left on device', array('exception' => object(ErrorException)))in Writer.php line 114
at Writer->error('file_put_contents(): write of 311 bytes failed with errno=28 No space left on device', array('exception' => object(ErrorException)))in Handler.php line 113
at Handler->report(object(ErrorException))in Handler.php line 100
at Handler->report(object(ErrorException))in HandleExceptions.php line 81
at HandleExceptions->handleException(object(ErrorException))