Computational Simulation and Experimental Techniques for Nanofluid Flow

Study of Oblique Nanofluid Flow Past a Stretching Sheet

Author(s): Vikas Poply*, Shilpa Taneja and Parveen Kumar

Pp: 64-85 (22)

DOI: 10.2174/9789815223705124010006

* (Excluding Mailing and Handling)

Abstract

The analysis of impinging oblique nano-fluid past a stretching sheet is done in the current communication. The nanoparticles' behaviour in fluids for convective heat transfer has been extensively studied. We assume that the fluid and the stretching velocity change linearly. In this paper, we used a cutting-edge Genetic Algorithm technique to better understand how a nanofluid's thermal characteristics and heat transport vary over time. Additionally, the impact of a change in the fluid's impinging angle is investigated. The temperature and concentration curves, skin friction coefficient, and Nusselt number have all been observed and graphically displayed. 

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      • 14. app/Models/UserAccess/UserAccess.php:784
      • 15. middleware::check_user_access:114
      • 16. vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:183
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Middleware/SubstituteBindings.php:50
      • 18. vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:183
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      • 16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
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      • 19. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
      • 20. vendor/laravel/framework/src/Illuminate/Routing/Route.php:206
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      • 17. app/Http/Controllers/ChapterController.php:1434
      • 18. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 19. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
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      • 15. app/Http/Controllers/ChapterController.php:1434
      • 16. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
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      430μsalphaeurekaselec_live_10_06_2022Subject.php#255
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      • 16. app/Models/Subject.php:255
      • 17. app/Http/Controllers/ChapterController.php:1435
      • 18. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 19. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 20. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
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      480μsalphaeurekaselec_live_10_06_2022Subject.php#255
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      • 14. app/Models/Subject.php:255
      • 15. app/Http/Controllers/ChapterController.php:1435
      • 16. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 17. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 18. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
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      • 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
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      • 16. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 17. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 18. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
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      380μsalphaeurekaselec_live_10_06_2022ContentAccess.php#647
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      • 11. app/Models/ContentAccess.php:647
      • 12. app/Http/Controllers/ChapterController.php:1465
      • 13. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 14. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
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      360μsalphaeurekaselec_live_10_06_2022ContentAccess.php#647
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      • 11. app/Models/ContentAccess.php:647
      • 12. app/Http/Controllers/ChapterController.php:1478
      • 13. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 14. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
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      830μsalphaeurekaselec_live_10_06_2022UserAccess.php#1266
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      • 13. app/Models/UserAccess/UserAccess.php:1266
      • 14. app/Http/Controllers/ChapterController.php:1518
      • 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 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 <= 316312588 and j.to_ip >=316312588 )) and ((j.from_date <= 1740526040 and j.to_date >= 1740526040 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.chapter_id = 22326) 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 <= 316312588 and j.to_ip >=316312588 )) and ((j.from_date <= 1740526040 and j.to_date >= 1740526040 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.chapter_id = 22326) 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 <= 316312588 and j.to_ip >=316312588 )) and ((j.from_date <= 1740526040 and j.to_date >= 1740526040 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.chapter_id = 22326)
      900μsalphaeurekaselec_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` = 3714 and `b`.`banner_from_date` <= 1740526040 and `b`.`banner_to_date` >= 1740526040 and `b`.`banner_status` = 'A' order by `b`.`banner_id` desc
      1.06msalphaeurekaselec_live_10_06_2022Banner.php#95
      Bindings
      • 0: 1
      • 1: B
      • 2: 3714
      • 3: 1740526040
      • 4: 1740526040
      • 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='479a50e6287fe437ddecc4fe129cc905'
      200μsalphaeurekaselec_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\Chapter
    1Chapter.php#?
    App\Models\Ebook
    1Ebook.php#?
        _token
        40OjeG2NliljJ5ckijvinV8RSwLuhHka77xY6Kzd
        uc_cart_id
        479a50e6287fe437ddecc4fe129cc905
        _previous
        array:1 [ "url" => "https://alpha.eurekaselect.com/chapter/22326" ]
        _flash
        array:2 [ "old" => [] "new" => [] ]
        PHPDEBUGBAR_STACK_DATA
        []
        path_info
        /chapter/22326
        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=eyJpdiI6ImtqdjZ4MVFRRFZNbVNyQXhjRW1BRmc9PSIsInZhbHVlIjoiV3lSTnF4NnA4R2tXTDBCaWZTZHNDaFlrYS9UaTBzQklTdGZiRUNGWmNLcz0iLCJtYWMiOiJlMDBjMWY2ZmJjMWQwYWE3YmFlN2U2OGJlMDZjNzJhNzY0NDYzNTkwMWRkMGJmZGQwYTk1YzI3YTNkOGRlN2MyIiwidGFnIjoiIn0%3Dwayfindertarget=eyJpdiI6ImtqdjZ4MVFRRFZNbVNyQXhjRW1BRmc9PSIsInZhbHVlIjoiV3lSTnF4NnA4R2tXTDBCaWZTZHNDaFlrYS9UaTBzQklTdGZiRUNGWmNLcz0iLCJtYWMiOiJlMDBjMWY2ZmJjMWQw" ] "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 23:27:20 GMT" ] "set-cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6Iit1UVNSQm4vY0txUnlMd3p3R1EvZVE9PSIsInZhbHVlIjoiQ3NRM1J0QzZuTjZrZDR4ZjI1b1JYYithT243MUpYTXJPdEZtanpkYU10amlKZjJMYU16YmRFZDRFcFdlS21mUFpVVkZLRk0vR2MxLzYzVHlZS20ramJmWFFsdDlZRitBYUM2ekErV3hCSHRyajdsbEZSWEpKSVd0dklsdHdtbWYiLCJtYWMiOiI3NDIyMWNkZmU0MmZhMTYyM2Q0YjEyNDEyZDE5NTllNmQ4NWU2NDM0NzYxMmI3MTJiMjA4MzAwMGVlMDRlNmU4IiwidGFnIjoiIn0%3D; expires=Fri, 28 Feb 2025 11:27:20 GMT; Max-Age=216000; path=/; secure; samesite=laxXSRF-TOKEN=eyJpdiI6Iit1UVNSQm4vY0txUnlMd3p3R1EvZVE9PSIsInZhbHVlIjoiQ3NRM1J0QzZuTjZrZDR4ZjI1b1JYYithT243MUpYTXJPdEZtanpkYU10amlKZjJMYU16YmRFZDRFcFdlS21mUFpVVkZLR" 1 => "alphaeurekaselectnet_session=eyJpdiI6IjlCbXk0ZU9OZGtnZ1g5dnA1UElZUXc9PSIsInZhbHVlIjoiU29BNkUwUlZqM09EMm1nck1MdWlKSWJIb2JWSFkrd29HMzgwUHBBZEFhK3JoeGFuWWdQbHNBbEhlVEZqOEI5ZWVCOVAvY0h5bW9KT0VJajVxcFVVc2xDYmxSTFVxTVJYVUV0QlJtRk91Q0dQWnFwZStiOE1QeGNXaWEydG5veSsiLCJtYWMiOiIyZjU1NGJhZGRlMGU5ZDAyNmIyNzUxZmQ1YjQ2OWFmZDVkMmMwMzFlMDc1YTUxYzgyOWJjNzI2MzNiNjQ4YWY4IiwidGFnIjoiIn0%3D; path=/; secure; httponly; samesite=laxalphaeurekaselectnet_session=eyJpdiI6IjlCbXk0ZU9OZGtnZ1g5dnA1UElZUXc9PSIsInZhbHVlIjoiU29BNkUwUlZqM09EMm1nck1MdWlKSWJIb2JWSFkrd29HMzgwUHBBZEFhK3JoeGFuWWdQbHNBbEh" ] "Set-Cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6Iit1UVNSQm4vY0txUnlMd3p3R1EvZVE9PSIsInZhbHVlIjoiQ3NRM1J0QzZuTjZrZDR4ZjI1b1JYYithT243MUpYTXJPdEZtanpkYU10amlKZjJMYU16YmRFZDRFcFdlS21mUFpVVkZLRk0vR2MxLzYzVHlZS20ramJmWFFsdDlZRitBYUM2ekErV3hCSHRyajdsbEZSWEpKSVd0dklsdHdtbWYiLCJtYWMiOiI3NDIyMWNkZmU0MmZhMTYyM2Q0YjEyNDEyZDE5NTllNmQ4NWU2NDM0NzYxMmI3MTJiMjA4MzAwMGVlMDRlNmU4IiwidGFnIjoiIn0%3D; expires=Fri, 28-Feb-2025 11:27:20 GMT; path=/; secureXSRF-TOKEN=eyJpdiI6Iit1UVNSQm4vY0txUnlMd3p3R1EvZVE9PSIsInZhbHVlIjoiQ3NRM1J0QzZuTjZrZDR4ZjI1b1JYYithT243MUpYTXJPdEZtanpkYU10amlKZjJMYU16YmRFZDRFcFdlS21mUFpVVkZLR" 1 => "alphaeurekaselectnet_session=eyJpdiI6IjlCbXk0ZU9OZGtnZ1g5dnA1UElZUXc9PSIsInZhbHVlIjoiU29BNkUwUlZqM09EMm1nck1MdWlKSWJIb2JWSFkrd29HMzgwUHBBZEFhK3JoeGFuWWdQbHNBbEhlVEZqOEI5ZWVCOVAvY0h5bW9KT0VJajVxcFVVc2xDYmxSTFVxTVJYVUV0QlJtRk91Q0dQWnFwZStiOE1QeGNXaWEydG5veSsiLCJtYWMiOiIyZjU1NGJhZGRlMGU5ZDAyNmIyNzUxZmQ1YjQ2OWFmZDVkMmMwMzFlMDc1YTUxYzgyOWJjNzI2MzNiNjQ4YWY4IiwidGFnIjoiIn0%3D; path=/; secure; httponlyalphaeurekaselectnet_session=eyJpdiI6IjlCbXk0ZU9OZGtnZ1g5dnA1UElZUXc9PSIsInZhbHVlIjoiU29BNkUwUlZqM09EMm1nck1MdWlKSWJIb2JWSFkrd29HMzgwUHBBZEFhK3JoeGFuWWdQbHNBbEh" ] ]
        session_attributes
        0 of 0
        array:5 [ "_token" => "40OjeG2NliljJ5ckijvinV8RSwLuhHka77xY6Kzd" "uc_cart_id" => "479a50e6287fe437ddecc4fe129cc905" "_previous" => array:1 [ "url" => "https://alpha.eurekaselect.com/chapter/22326" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]
        ClearShow all
        Date ↕MethodURLData
        #12025-02-25 23:27:20GET/chapter/22326112192