A study of flow field and concentration polarization evolution in membrane channels with two-dimensional spacers during water desalination, Journal of Membrane Science

Year : 2015

Author : M. Amokrane, D.Sadaoui, C.P.Koutsou, A.J.Karabelas, M.Dudeck

This study is a step toward integrated modeling of the evolving (in space and time) flow and concentration fields during water desalination in membrane spacer-filled channels. Such detailed model predictions are of practical significance, leading to improved understanding of spiral wound membrane (SWM) module operation. Submerged and zigzag spacer filament2-dimentionalconfigurationsareemployed, as they create geometric flow-channel features (contact lines, flow constrictions, etc) encountered in SWM modules. The numerical study, performed in a Reynolds number range typical for desalination modules, is focused on the evolution of local mass transfer coefficient k and concentration polarization, which significantly affect SWM module performance. A detailed quantitative prediction is obtained of these parameters, which are linked to the variation of wall shear stress, static pressure and permeation flux. By focusing on a typical region of the membrane channel (adequately capturing the evolving flow characteristics), it is predicted that increasing average k values (with the concomitant reduction of concentration polarization) area associated with the undesirable increase of pressure drop; the conflicting requirements can be balanced through the selection of appropriate spacer geometry. The negative effect of membrane-filament contact lines on concentration polarization is well documented. An assessment is made of the two spacer filament configurations, from this perspective, and directions for future research are outlined.

Amokrane-et-al-JMS-2015-published-1 Download

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2	1.4395	28061080	do_action( $hook_name = 'shutdown' )	...\load.php:1124
3	1.4395	28061456	WP_Hook->do_action( $args = [0 => ''] )	...\plugin.php:517
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5	1.4395	28062616	wp_ob_end_flush_all( '' )	...\class-wp-hook.php:308
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8	1.4401	28168016	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	1.4401	28168016	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

1.4395

28061080

shutdown_action_hook( )

...\load.php:0

1.4395

28061080

do_action( $hook_name = 'shutdown' )

...\load.php:1124

1.4395

28061456

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

...\plugin.php:517

1.4395

28061456

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

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

1.4395

28062616

wp_ob_end_flush_all( '' )

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

1.4395

28062616

ob_end_flush( )

...\functions.php:5279

1.4395

28165048

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/a-study-of-flow-field-and-concentration-polarizati', 9 )

...\functions.php:5279

1.4401

28168016

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

1.4401

28168016

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

1.4401

28168424

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']] )

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