On sectional techniques for the solution of the breakage equation, Computers and Chemical Engineering

Έτος : 2008

Author : Kostoglou M., Karabelas A.J.

The breakage equation is of great signiﬁcance for modeling many physicochemical processes. The need for its extension to more than one internal coordinates in spatially distributed environment renders crucial the development of efﬁcient numerical methods for its solution. In the present work two new sectional methods (Cell Average Technique and Extended Cell Average Technique) recently applied to the coagulation equation are implemented to breakage equation and tested extensively against the well-established Fixed Pivot Technique. The results of the analysis show that whereas the new methods cannot predict the complete particle size distribution better than the Fixed Pivot Technique (despite their superiority in the case of coagulation), they are very successful in predicting the moments of the distribution even for coarse grids. Thus, especially the Extended Cell Average Technique can be considered as a reﬁnement of the moments method with increased number of degrees of freedom but also increased accuracy.

AIK-PAPYR-3675-ON-SECTIONAL-in-COMP-CHEM-ENG-V-33-ISS-1-PP-112-121-Y-2009 Download

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Call Stack
#	Time	Memory	Function	Location
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2	1.2346	27969456	do_action( $hook_name = 'shutdown' )	...\load.php:1124
3	1.2346	27969832	WP_Hook->do_action( $args = [0 => ''] )	...\plugin.php:517
4	1.2346	27969832	WP_Hook->apply_filters( $value = '', $args = [0 => ''] )	...\class-wp-hook.php:332
5	1.2346	27970992	wp_ob_end_flush_all( '' )	...\class-wp-hook.php:308
6	1.2346	27970992	ob_end_flush( )	...\functions.php:5279
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8	1.2352	28072296	autoptimizeScripts->read( $options = ['aggregate' => 'on', 'defer_not_aggregate' => 1, 'defer_inline' => 1, 'justhead' => '', 'forcehead' => '', 'trycatch' => '', 'js_exclude' => 'wp-includes/js/dist/, wp-includes/js/tinymce/, js/jquery/jquery.js', 'cdn_url' => '', 'include_inline' => '', 'minify_excluded' => 'on'] )	...\autoptimizeMain.php:591
9	1.2353	28072296	apply_filters( $hook_name = 'autoptimize_filter_js_dontmove', $value = [0 => 'document.write', 1 => 'html5.js', 2 => 'show_ads.js', 3 => 'google_ad', 4 => 'histats.com/js', 5 => 'statcounter.com/counter/counter.js', 6 => 'ws.amazon.com/widgets', 7 => 'media.fastclick.net', 8 => '/ads/', 9 => 'comment-form-quicktags/quicktags.php', 10 => 'edToolbar', 11 => 'intensedebate.com', 12 => 'scripts.chitika.net/', 13 => '_gaq.push', 14 => 'jotform.com/', 15 => 'admin-bar.min.js', 16 => 'GoogleAnalyticsObject', 17 => 'plupload.full.min.js', 18 => 'syntaxhighlighter', 19 => 'adsbygoogle', 20 => 'gist.github.com', 21 => '_stq', 22 => 'nonce', 23 => 'post_id', 24 => 'data-noptimize', 25 => 'data-cfasync', 26 => 'data-pagespeed-no-defer', 27 => 'logHuman', 28 => 'amp-mobile-version-switcher', 29 => 'data-rocketlazyloadscript', 30 => 'rocket-browser-checker-js-after'] )	...\autoptimizeScripts.php:286
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Call Stack

Time

Memory

Function

Location

1.2346

27969456

shutdown_action_hook( )

...\load.php:0

1.2346

27969456

do_action( $hook_name = 'shutdown' )

...\load.php:1124

1.2346

27969832

WP_Hook->do_action( $args = [0 => ''] )

...\plugin.php:517

1.2346

27969832

WP_Hook->apply_filters( $value = '', $args = [0 => ''] )

...\class-wp-hook.php:332

1.2346

27970992

wp_ob_end_flush_all( '' )

...\class-wp-hook.php:308

1.2346

27970992

ob_end_flush( )

...\functions.php:5279

1.2347

28069328

autoptimizeMain->end_buffering( $content = '<!doctype html>\r\n<html lang="en-US">\r\n<head>\r\n\t<meta charset="UTF-8">\r\n\t<meta name="viewport" content="width=device-width, initial-scale=1.0">\r\n\t<meta http-equiv="X-UA-Compatible" content="IE=edge">\r\n\t<link rel="profile" href="https://gmpg.org/xfn/11">\r\n\t<meta name=\'robots\' content=\'index, follow, max-image-preview:large, max-snippet:-1, max-video-preview:-1\' />\n<link rel="alternate" hreflang="el" href="https://nrre.cperi.certh.gr/el/on-sectional-techniques-for-the-solution-of-the-br', 9 )

...\functions.php:5279

1.2352

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autoptimizeScripts->read( $options = ['aggregate' => 'on', 'defer_not_aggregate' => 1, 'defer_inline' => 1, 'justhead' => '', 'forcehead' => '', 'trycatch' => '', 'js_exclude' => 'wp-includes/js/dist/, wp-includes/js/tinymce/, js/jquery/jquery.js', 'cdn_url' => '', 'include_inline' => '', 'minify_excluded' => 'on'] )

...\autoptimizeMain.php:591

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apply_filters( $hook_name = 'autoptimize_filter_js_dontmove', $value = [0 => 'document.write', 1 => 'html5.js', 2 => 'show_ads.js', 3 => 'google_ad', 4 => 'histats.com/js', 5 => 'statcounter.com/counter/counter.js', 6 => 'ws.amazon.com/widgets', 7 => 'media.fastclick.net', 8 => '/ads/', 9 => 'comment-form-quicktags/quicktags.php', 10 => 'edToolbar', 11 => 'intensedebate.com', 12 => 'scripts.chitika.net/', 13 => '_gaq.push', 14 => 'jotform.com/', 15 => 'admin-bar.min.js', 16 => 'GoogleAnalyticsObject', 17 => 'plupload.full.min.js', 18 => 'syntaxhighlighter', 19 => 'adsbygoogle', 20 => 'gist.github.com', 21 => '_stq', 22 => 'nonce', 23 => 'post_id', 24 => 'data-noptimize', 25 => 'data-cfasync', 26 => 'data-pagespeed-no-defer', 27 => 'logHuman', 28 => 'amp-mobile-version-switcher', 29 => 'data-rocketlazyloadscript', 30 => 'rocket-browser-checker-js-after'] )

...\autoptimizeScripts.php:286

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28072704

WP_Hook->apply_filters( $value = [0 => 'document.write', 1 => 'html5.js', 2 => 'show_ads.js', 3 => 'google_ad', 4 => 'histats.com/js', 5 => 'statcounter.com/counter/counter.js', 6 => 'ws.amazon.com/widgets', 7 => 'media.fastclick.net', 8 => '/ads/', 9 => 'comment-form-quicktags/quicktags.php', 10 => 'edToolbar', 11 => 'intensedebate.com', 12 => 'scripts.chitika.net/', 13 => '_gaq.push', 14 => 'jotform.com/', 15 => 'admin-bar.min.js', 16 => 'GoogleAnalyticsObject', 17 => 'plupload.full.min.js', 18 => 'syntaxhighlighter', 19 => 'adsbygoogle', 20 => 'gist.github.com', 21 => '_stq', 22 => 'nonce', 23 => 'post_id', 24 => 'data-noptimize', 25 => 'data-cfasync', 26 => 'data-pagespeed-no-defer', 27 => 'logHuman', 28 => 'amp-mobile-version-switcher', 29 => 'data-rocketlazyloadscript', 30 => 'rocket-browser-checker-js-after'], $args = [0 => [0 => 'document.write', 1 => 'html5.js', 2 => 'show_ads.js', 3 => 'google_ad', 4 => 'histats.com/js', 5 => 'statcounter.com/counter/counter.js', 6 => 'ws.amazon.com/widgets', 7 => 'media.fastclick.net', 8 => '/ads/', 9 => 'comment-form-quicktags/quicktags.php', 10 => 'edToolbar', 11 => 'intensedebate.com', 12 => 'scripts.chitika.net/', 13 => '_gaq.push', 14 => 'jotform.com/', 15 => 'admin-bar.min.js', 16 => 'GoogleAnalyticsObject', 17 => 'plupload.full.min.js', 18 => 'syntaxhighlighter', 19 => 'adsbygoogle', 20 => 'gist.github.com', 21 => '_stq', 22 => 'nonce', 23 => 'post_id', 24 => 'data-noptimize', 25 => 'data-cfasync', 26 => 'data-pagespeed-no-defer', 27 => 'logHuman', 28 => 'amp-mobile-version-switcher', 29 => 'data-rocketlazyloadscript', 30 => 'rocket-browser-checker-js-after']] )

...\plugin.php:205