Advances in Multiphase Flow and Heat Transfer

Volume: 3

Flashing-Induced Density Wave Oscillations in a Boiling Natural Circulation System

Author(s): Masahiro Furuya

Pp: 280-299 (20)

DOI: 10.2174/978160805228811203010280

* (Excluding Mailing and Handling)

Abstract

This chapter addresses characteristics of flashing-induced density wave oscillations on the basis of the experimental results in a boiling natural circulation system with an adiabatic chimney. Flashing is caused by the sudden increase of vapor generation due to the reduction in hydrostatic head, since saturation enthalpy changes with pressure. Flashing-induced density wave oscillations may, therefore, occur at low pressure. The oscillation period correlates well with the passing time of bubbles in the chimney section regardless of the system pressure, the heat flux, and the inlet subcooling. According to the stability map, the flow became stable below a certain heat flux regardless of the channel inlet subcooling. The stable region enlarged with increasing system pressure. Therefore, the stability margin becomes larger by pressurizing the loop sufficiently before heating.


Keywords: Natural circulation, boiling two-phase flow, flashing, stability, BWR.

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      • 16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • (select j.user_access_id,j.volume_id,j.user_id,j.from_ip,j.to_ip,j.type,j.track,"Trial Access" as access_base_text, CASE j.type WHEN 111 THEN true ELSE false END as terms_popup, "S" as content_download_type, null as restricted_user_access_key, null as restricted_user_access_type, CASE j.track WHEN 0 THEN false ELSE true END as tracksAccessByVolume,"chapter" as access_level, j.chapter_id from `user_access_chapter_trail` as `j` inner join `user_access_info` as `info` on `j`.`user_access_id` = `info`.`user_access_id` where ((j.from_ip <= 59755419 and j.to_ip >=59755419 )) and ((j.from_date <= 1739847742 and j.to_date >= 1739847742 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.chapter_id = 3205) union (select j.user_access_id,j.volume_id,j.user_id,j.from_ip,j.to_ip,j.type,j.track,"Subscribed" as access_base_text, false as terms_popup, "S" as content_download_type, null as restricted_user_access_key, null as restricted_user_access_type, CASE j.track WHEN 0 THEN false ELSE true END as tracksAccessByVolume,"chapter" as access_level, j.chapter_id from `user_access_chapter_corporate` as `j` inner join `user_access_info` as `info` on `j`.`user_access_id` = `info`.`user_access_id` where ((j.from_ip <= 59755419 and j.to_ip >=59755419 )) and ((j.from_date <= 1739847742 and j.to_date >= 1739847742 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.chapter_id = 3205) union (select j.user_access_id,j.volume_id,j.user_id,j.from_ip,j.to_ip,j.type,j.track,"Token Based Access" as access_base_text, false as terms_popup, "R" as content_download_type, j.uc_id as restricted_user_access_key, "v" as restricted_user_access_type, CASE j.track WHEN 0 THEN false ELSE true END as tracksAccessByVolume,"chapter" as access_level, j.chapter_id from `user_access_chapter_token` as `j` inner join `user_access_info` as `info` on `j`.`user_access_id` = `info`.`user_access_id` where ((j.from_ip <= 59755419 and j.to_ip >=59755419 )) and ((j.from_date <= 1739847742 and j.to_date >= 1739847742 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.chapter_id = 3205)
      530μsalphaeurekaselec_live_10_06_2022UserAccess.php#1266
      Backtrace
      • 13. app/Models/UserAccess/UserAccess.php:1266
      • 14. app/Http/Controllers/ChapterController.php:1549
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select b.banner_link, b.banner_name, b.banner_script, b.banner_remarks, b.banner_file_name, b.banner_placement, bd.content_type, bd.content_id from `tbl_banner` as `b` inner join `tbl_banner_detail` as `bd` on `bd`.`banner_id` = `b`.`banner_id` inner join `users` as `u` on `u`.`id` = `b`.`updated_by` where `b`.`banner_ebook` = 1 and `bd`.`content_type` = 'B' and `bd`.`content_id` = 1005 and `b`.`banner_from_date` <= 1739847742 and `b`.`banner_to_date` >= 1739847742 and `b`.`banner_status` = 'A' order by `b`.`banner_id` desc
      1.04msalphaeurekaselec_live_10_06_2022Banner.php#95
      Bindings
      • 0: 1
      • 1: B
      • 2: 1005
      • 3: 1739847742
      • 4: 1739847742
      • 5: A
      Backtrace
      • 13. app/Models/Banner.php:95
      • 14. app/Http/helpers.php:404
      • 17. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
      • 18. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:73
    • select count(*) as aggregate from `uc_cart_products` where cart_id='e2cce17dc5d13291c288baa354cb72d8'
      190μsalphaeurekaselec_live_10_06_2022Cart.php#271
      Backtrace
      • 15. app/Models/Cart.php:271
      • 16. view::layouts._header:260
      • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
      • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:73
    App\Models\Keywords
    5Keywords.php#?
    App\Models\Chapter
    1Chapter.php#?
    App\Models\Ebook
    1Ebook.php#?
        _token
        1U8kodQXicbHsytWs9aVUXarrxBpfFCEkpATPWg4
        uc_cart_id
        e2cce17dc5d13291c288baa354cb72d8
        _previous
        array:1 [ "url" => "https://alpha.eurekaselect.com/chapter/3205" ]
        _flash
        array:2 [ "old" => [] "new" => [] ]
        PHPDEBUGBAR_STACK_DATA
        []
        path_info
        /chapter/3205
        status_code
        200
        
        status_text
        OK
        format
        html
        content_type
        text/html; charset=UTF-8
        request_query
        []
        
        request_request
        []
        
        request_headers
        0 of 0
        array:17 [ "x-https" => array:1 [ 0 => "1" ] "host" => array:1 [ 0 => "alpha.eurekaselect.com" ] "priority" => array:1 [ 0 => "u=0, i" ] "cookie" => array:1 [ 0 => "wayfindertarget=eyJpdiI6IjcyYzBtNzNZSXhxOUpUVnA2Nm9UUFE9PSIsInZhbHVlIjoibnZmVUh1VDVUOXJzM2VnSEo2L0ttQUlYWHc0NmVqZE5YRkhyYW8yZmg3QT0iLCJtYWMiOiJlOGY3MWIyZGYzNzY2YTY4MjhkM2IyMzY5MzBhZGNiODVlMTM3MzNmYzliOWE4ZDAwODEzODdhYWY3ZjZmZDY2IiwidGFnIjoiIn0%3D; fpestid=8DUdE8BsDDMCbniyuxBCSnjfj3VN32sU-MA6DbKapWzfon9GtGNcm4NFbGV-Eu2J9WufRAwayfindertarget=eyJpdiI6IjcyYzBtNzNZSXhxOUpUVnA2Nm9UUFE9PSIsInZhbHVlIjoibnZmVUh1VDVUOXJzM2VnSEo2L0ttQUlYWHc0NmVqZE5YRkhyYW8yZmg3QT0iLCJtYWMiOiJlOGY3MWIyZGYzNzY2" ] "accept-encoding" => array:1 [ 0 => "gzip, deflate, br, zstd" ] "sec-fetch-dest" => array:1 [ 0 => "document" ] "sec-fetch-user" => array:1 [ 0 => "?1" ] "sec-fetch-mode" => array:1 [ 0 => "navigate" ] "sec-fetch-site" => array:1 [ 0 => "none" ] "accept" => array:1 [ 0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" ] "user-agent" => array:1 [ 0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" ] "upgrade-insecure-requests" => array:1 [ 0 => "1" ] "sec-ch-ua-platform" => array:1 [ 0 => ""Windows"" ] "sec-ch-ua-mobile" => array:1 [ 0 => "?0" ] "sec-ch-ua" => array:1 [ 0 => ""HeadlessChrome";v="129", "Not=A?Brand";v="8", "Chromium";v="129"" ] "cache-control" => array:1 [ 0 => "no-cache" ] "pragma" => array:1 [ 0 => "no-cache" ] ]
        request_cookies
        0 of 0
        array:2 [ "wayfindertarget" => null "fpestid" => null ]
        response_headers
        0 of 0
        array:5 [ "content-type" => array:1 [ 0 => "text/html; charset=UTF-8" ] "cache-control" => array:1 [ 0 => "no-cache, private" ] "date" => array:1 [ 0 => "Tue, 18 Feb 2025 03:02:22 GMT" ] "set-cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6Im1UMkxvTVFmOHdyaW5WMjNXWG9kRVE9PSIsInZhbHVlIjoiVjJBQkZhTE5nQkJhUU44UzFROTBuOTRHdldyS2V5Ri9KSzBnc0JWZnFZRTZ2TXRCU3JXd2JQRklrN3FqSmp3Rlc4SWZKejIzem1wSUVmTGVSeEs1Wmh5a3pXQ0JPeTNHMUNjdFFET1pEeXZlT2V3VDdNdFo4VUIxSlZpUHVPenMiLCJtYWMiOiI4OTM2Mzg5ZDE5MzI5ODhmYjJmODEwMzU0NDYwMWI1ZjM1YTYxOWZjMDdiYmUzMWY3MTdjYWIxOTYzMmM1MTE3IiwidGFnIjoiIn0%3D; expires=Thu, 20 Feb 2025 15:02:22 GMT; Max-Age=216000; path=/; secure; samesite=laxXSRF-TOKEN=eyJpdiI6Im1UMkxvTVFmOHdyaW5WMjNXWG9kRVE9PSIsInZhbHVlIjoiVjJBQkZhTE5nQkJhUU44UzFROTBuOTRHdldyS2V5Ri9KSzBnc0JWZnFZRTZ2TXRCU3JXd2JQRklrN3FqSmp3Rlc4SWZKe" 1 => "alphaeurekaselectnet_session=eyJpdiI6ImxIejJtMUdUTnNrU2NxK0p5TTZkYkE9PSIsInZhbHVlIjoiY29CbDJUYlNZUU9kSjY0U3pkLzVlaXJCTFhqRHo1SmlYblNpWFJQcXJTNGk2M0tXcmM1aG9aU2N4dDlwSkMrelgrc2hYZTFIekl0QlNzdFI4YUZWbldTYWFHQkMwVFZGQUR4dUZsdEJqd21XWUQ5RlVKS2pNN2ErWEYxeVl5YjUiLCJtYWMiOiIyNDA1NTM1MGRlMmNkZjY3NWEwOTFmMmFkMjE4MmFmOGMyMWI1ZjQ5YzdjYWM4MjJjMmFjNzliNTc1MWZjZjY2IiwidGFnIjoiIn0%3D; path=/; secure; httponly; samesite=laxalphaeurekaselectnet_session=eyJpdiI6ImxIejJtMUdUTnNrU2NxK0p5TTZkYkE9PSIsInZhbHVlIjoiY29CbDJUYlNZUU9kSjY0U3pkLzVlaXJCTFhqRHo1SmlYblNpWFJQcXJTNGk2M0tXcmM1aG9aU2N" ] "Set-Cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6Im1UMkxvTVFmOHdyaW5WMjNXWG9kRVE9PSIsInZhbHVlIjoiVjJBQkZhTE5nQkJhUU44UzFROTBuOTRHdldyS2V5Ri9KSzBnc0JWZnFZRTZ2TXRCU3JXd2JQRklrN3FqSmp3Rlc4SWZKejIzem1wSUVmTGVSeEs1Wmh5a3pXQ0JPeTNHMUNjdFFET1pEeXZlT2V3VDdNdFo4VUIxSlZpUHVPenMiLCJtYWMiOiI4OTM2Mzg5ZDE5MzI5ODhmYjJmODEwMzU0NDYwMWI1ZjM1YTYxOWZjMDdiYmUzMWY3MTdjYWIxOTYzMmM1MTE3IiwidGFnIjoiIn0%3D; expires=Thu, 20-Feb-2025 15:02:22 GMT; path=/; secureXSRF-TOKEN=eyJpdiI6Im1UMkxvTVFmOHdyaW5WMjNXWG9kRVE9PSIsInZhbHVlIjoiVjJBQkZhTE5nQkJhUU44UzFROTBuOTRHdldyS2V5Ri9KSzBnc0JWZnFZRTZ2TXRCU3JXd2JQRklrN3FqSmp3Rlc4SWZKe" 1 => "alphaeurekaselectnet_session=eyJpdiI6ImxIejJtMUdUTnNrU2NxK0p5TTZkYkE9PSIsInZhbHVlIjoiY29CbDJUYlNZUU9kSjY0U3pkLzVlaXJCTFhqRHo1SmlYblNpWFJQcXJTNGk2M0tXcmM1aG9aU2N4dDlwSkMrelgrc2hYZTFIekl0QlNzdFI4YUZWbldTYWFHQkMwVFZGQUR4dUZsdEJqd21XWUQ5RlVKS2pNN2ErWEYxeVl5YjUiLCJtYWMiOiIyNDA1NTM1MGRlMmNkZjY3NWEwOTFmMmFkMjE4MmFmOGMyMWI1ZjQ5YzdjYWM4MjJjMmFjNzliNTc1MWZjZjY2IiwidGFnIjoiIn0%3D; path=/; secure; httponlyalphaeurekaselectnet_session=eyJpdiI6ImxIejJtMUdUTnNrU2NxK0p5TTZkYkE9PSIsInZhbHVlIjoiY29CbDJUYlNZUU9kSjY0U3pkLzVlaXJCTFhqRHo1SmlYblNpWFJQcXJTNGk2M0tXcmM1aG9aU2N" ] ]
        session_attributes
        0 of 0
        array:5 [ "_token" => "1U8kodQXicbHsytWs9aVUXarrxBpfFCEkpATPWg4" "uc_cart_id" => "e2cce17dc5d13291c288baa354cb72d8" "_previous" => array:1 [ "url" => "https://alpha.eurekaselect.com/chapter/3205" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]
        ClearShow all
        Date ↕MethodURLData
        #12025-02-18 03:02:22GET/chapter/3205112197