Frontiers in Aerospace Science

Volume: 2

Vortex Structure of the Flow Field Around MVG

Author(s): Chaoqun Liu, Qin Li, Yonghua Yan, Yong Yang, Guang Yang and Xiangrui Dong

Pp: 186-220 (35)

DOI: 10.2174/9781681085975117020007

* (Excluding Mailing and Handling)

Abstract

In this chapter, we propose a series of new discoveries from our high order LES, including the spiral point near the leading edge, the origin of the momentum loss, the vortex structure, the topology of the flow separation, and some conclusions of other physics in the flow. Although there are some studies of experiments and numerical simulations on fluid flow controlled by MVG recently, only two-dimensional flow information was provided and confirmed by those studies. The three dimensional flow field behind MVG is still unclear. To better understand the flow structure especially the vortex structure in the downstream of the MVG, the flow field around the MVG and surrounding areas has been investigated in details. In addition, the 3D shock wave structure in the flow field is also studied in this book.


Keywords: Flow separation, Momentum deficit, Spiral points, Topology, Vortex rings.

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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 <= 314508452 and j.to_ip >=314508452 )) and ((j.from_date <= 1740496206 and j.to_date >= 1740496206 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.chapter_id = 11692) 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 <= 314508452 and j.to_ip >=314508452 )) and ((j.from_date <= 1740496206 and j.to_date >= 1740496206 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.chapter_id = 11692) 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 <= 314508452 and j.to_ip >=314508452 )) and ((j.from_date <= 1740496206 and j.to_date >= 1740496206 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.chapter_id = 11692)
      580μsalphaeurekaselec_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` = 2406 and `b`.`banner_from_date` <= 1740496206 and `b`.`banner_to_date` >= 1740496206 and `b`.`banner_status` = 'A' order by `b`.`banner_id` desc
      1.03msalphaeurekaselec_live_10_06_2022Banner.php#95
      Bindings
      • 0: 1
      • 1: B
      • 2: 2406
      • 3: 1740496206
      • 4: 1740496206
      • 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='e8696884f561c012722b1ae03b37ad38'
      180μsalphaeurekaselec_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
        EkllhK4mLQ4Rua1UxUWWytRgIu4mzNAslb8X9tkV
        uc_cart_id
        e8696884f561c012722b1ae03b37ad38
        _previous
        array:1 [ "url" => "https://alpha.eurekaselect.com/chapter/11692" ]
        _flash
        array:2 [ "old" => [] "new" => [] ]
        PHPDEBUGBAR_STACK_DATA
        []
        path_info
        /chapter/11692
        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=eyJpdiI6IlJ1ZGROMTBUTjFtMHJSWmRsRlV0UlE9PSIsInZhbHVlIjoiRmZCeTdTNk1QaGJmOHVGZFFudEk4cmRFWkJGZWRWRFdkdi9MVHAvZXVldz0iLCJtYWMiOiJkNDZiNTE2OTAyMGNmNDE4OWQ1ZWY3ZDNkZTQ1NThjMWU2ZTE2NDQ5MDRjOGUxYjllNGQzNzU5Y2IzY2NjMjlmIiwidGFnIjoiIn0%3Dwayfindertarget=eyJpdiI6IlJ1ZGROMTBUTjFtMHJSWmRsRlV0UlE9PSIsInZhbHVlIjoiRmZCeTdTNk1QaGJmOHVGZFFudEk4cmRFWkJGZWRWRFdkdi9MVHAvZXVldz0iLCJtYWMiOiJkNDZiNTE2OTAyMGNm" ] "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:1 [ "wayfindertarget" => 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, 25 Feb 2025 15:10:06 GMT" ] "set-cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6ImlPdGNFYnNlYTBPdjB1MG91bUlpMVE9PSIsInZhbHVlIjoiRXJPakh5c3hyRXJkWDVsOG56WDlENldXSS9FdnEvTFgxc3NCbFRiZWoxWHpLcmh2L2c4MHpnMnlzQ1ZyTnVMNFVqbFJnWEhkTzMwNzBMcC8zU2xqUGJpRzJjdExoeCs1czNFYlNsbzBmNURmd0I4czVJR2hMSGxaTmhsSXlMOUoiLCJtYWMiOiI1NDI2NzkzMmE1NDMyNzI5MGEyNDFlYTFkZjgyYTExODQwY2QzYzNkZTNiMWRiNWZkNGU1YmY2OWMxYTFmM2U4IiwidGFnIjoiIn0%3D; expires=Fri, 28 Feb 2025 03:10:06 GMT; Max-Age=216000; path=/; secure; samesite=laxXSRF-TOKEN=eyJpdiI6ImlPdGNFYnNlYTBPdjB1MG91bUlpMVE9PSIsInZhbHVlIjoiRXJPakh5c3hyRXJkWDVsOG56WDlENldXSS9FdnEvTFgxc3NCbFRiZWoxWHpLcmh2L2c4MHpnMnlzQ1ZyTnVMNFVqbFJnW" 1 => "alphaeurekaselectnet_session=eyJpdiI6IjlFZWVoeUhYMVFsNURTUjZCSThNVWc9PSIsInZhbHVlIjoiVXVLd0xSWFlJNVNhbmxHQWJnWFkwNktzVkpDcGlDQXdpdFRuSU5DY2ZHRUIwbkNlVmFCOFBvcXVxZE4zVkIvVEdSd3RrS0pKMUZkU1NxRWhRVTV2RkkrS1lPdFprMjF5SE5SS1F1OHdKMHpYdXdBZVkyVlNQYXVxMURnWFpRNDYiLCJtYWMiOiJiYWFkZWU1NjlhMTUxYjA5OGNmZTRiYjA4MjU5MGIyOWRiZDQ2NTA5NWQ0ZjViOTJjM2FjNTRlNjQ2NGM0ZGIwIiwidGFnIjoiIn0%3D; path=/; secure; httponly; samesite=laxalphaeurekaselectnet_session=eyJpdiI6IjlFZWVoeUhYMVFsNURTUjZCSThNVWc9PSIsInZhbHVlIjoiVXVLd0xSWFlJNVNhbmxHQWJnWFkwNktzVkpDcGlDQXdpdFRuSU5DY2ZHRUIwbkNlVmFCOFBvcXV" ] "Set-Cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6ImlPdGNFYnNlYTBPdjB1MG91bUlpMVE9PSIsInZhbHVlIjoiRXJPakh5c3hyRXJkWDVsOG56WDlENldXSS9FdnEvTFgxc3NCbFRiZWoxWHpLcmh2L2c4MHpnMnlzQ1ZyTnVMNFVqbFJnWEhkTzMwNzBMcC8zU2xqUGJpRzJjdExoeCs1czNFYlNsbzBmNURmd0I4czVJR2hMSGxaTmhsSXlMOUoiLCJtYWMiOiI1NDI2NzkzMmE1NDMyNzI5MGEyNDFlYTFkZjgyYTExODQwY2QzYzNkZTNiMWRiNWZkNGU1YmY2OWMxYTFmM2U4IiwidGFnIjoiIn0%3D; expires=Fri, 28-Feb-2025 03:10:06 GMT; path=/; secureXSRF-TOKEN=eyJpdiI6ImlPdGNFYnNlYTBPdjB1MG91bUlpMVE9PSIsInZhbHVlIjoiRXJPakh5c3hyRXJkWDVsOG56WDlENldXSS9FdnEvTFgxc3NCbFRiZWoxWHpLcmh2L2c4MHpnMnlzQ1ZyTnVMNFVqbFJnW" 1 => "alphaeurekaselectnet_session=eyJpdiI6IjlFZWVoeUhYMVFsNURTUjZCSThNVWc9PSIsInZhbHVlIjoiVXVLd0xSWFlJNVNhbmxHQWJnWFkwNktzVkpDcGlDQXdpdFRuSU5DY2ZHRUIwbkNlVmFCOFBvcXVxZE4zVkIvVEdSd3RrS0pKMUZkU1NxRWhRVTV2RkkrS1lPdFprMjF5SE5SS1F1OHdKMHpYdXdBZVkyVlNQYXVxMURnWFpRNDYiLCJtYWMiOiJiYWFkZWU1NjlhMTUxYjA5OGNmZTRiYjA4MjU5MGIyOWRiZDQ2NTA5NWQ0ZjViOTJjM2FjNTRlNjQ2NGM0ZGIwIiwidGFnIjoiIn0%3D; path=/; secure; httponlyalphaeurekaselectnet_session=eyJpdiI6IjlFZWVoeUhYMVFsNURTUjZCSThNVWc9PSIsInZhbHVlIjoiVXVLd0xSWFlJNVNhbmxHQWJnWFkwNktzVkpDcGlDQXdpdFRuSU5DY2ZHRUIwbkNlVmFCOFBvcXV" ] ]
        session_attributes
        0 of 0
        array:5 [ "_token" => "EkllhK4mLQ4Rua1UxUWWytRgIu4mzNAslb8X9tkV" "uc_cart_id" => "e8696884f561c012722b1ae03b37ad38" "_previous" => array:1 [ "url" => "https://alpha.eurekaselect.com/chapter/11692" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]
        ClearShow all
        Date ↕MethodURLData
        #12025-02-25 15:10:06GET/chapter/11692112197