Characteristics of permeate-side spacers of spiral wound membrane modules

Year : 2013

Author : C.P. Koutsou, A.J. Karabelas, T.B. Goudoulas

Reliable estimates of the effective lateral permeability (k) of permeate-side spacers of spiral wound membrane (SWM) elements are required in order to design them and simulate module and plant performance. Such permeability data are not available at present. A straightforward approach is recommended for determining k of spacers under modest pressure, which involves pressure drop measurements in a spacer-filled channel coupled with separate accurate data on the effect of normal pressure on spacer thickness. Application of this approach to typical spacers from commercial SWM modules shows that k is at the level of 2 to 3.5 × 10−10 m2, for measured thickness 0.20 to 0.25 mm. The tested spacers exhibit modest compaction under pressure, with a tendency to approach asymptotically a minimum thickness at a pressure smaller than that prevailing in tightly wound membrane envelopes of commercial modules. Recommendations are also outlined regarding R & D directions on the selection of appropriate permeate spacers in the context of overall optimization of SWM module design and desalination process performance.

Koutsou-et-al-Permeate-Spacers-DESAL-2013-2 Download

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Call Stack
#	Time	Memory	Function	Location
1	1.2110	27947432	shutdown_action_hook( )	...\load.php:0
2	1.2110	27947432	do_action( $hook_name = 'shutdown' )	...\load.php:1124
3	1.2110	27947808	WP_Hook->do_action( $args = [0 => ''] )	...\plugin.php:517
4	1.2110	27947808	WP_Hook->apply_filters( $value = '', $args = [0 => ''] )	...\class-wp-hook.php:332
5	1.2111	27948968	wp_ob_end_flush_all( '' )	...\class-wp-hook.php:308
6	1.2111	27948968	ob_end_flush( )	...\functions.php:5279
7	1.2111	28047304	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/characteristics-of-permeate-side-spacers-of-spiral', 9 )	...\functions.php:5279
8	1.2116	28050272	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	1.2116	28050272	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
10	1.2116	28050680	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

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Call Stack

Time

Memory

Function

Location

1.2110

27947432

shutdown_action_hook( )

...\load.php:0

1.2110

27947432

do_action( $hook_name = 'shutdown' )

...\load.php:1124

1.2110

27947808

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

...\plugin.php:517

1.2110

27947808

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

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

1.2111

27948968

wp_ob_end_flush_all( '' )

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

1.2111

27948968

ob_end_flush( )

...\functions.php:5279

1.2111

28047304

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/characteristics-of-permeate-side-spacers-of-spiral', 9 )

...\functions.php:5279

1.2116

28050272

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

1.2116

28050272

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

1.2116

28050680

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