Computational Simulation and Experimental Techniques for Nanofluid Flow

Effect of Casson Nanofluid's Outer Velocity with Melting Heat Transmission beyond a Stretching Sheet

Author(s): Vikas Poply*, Sabyasachi Mondal and Parveen Kumar

Pp: 86-93 (8)

DOI: 10.2174/9789815223705124010007

* (Excluding Mailing and Handling)

Abstract

An analysis was conducted to observe the collective consequence of the melting procedure across a stretching sheet in a Casson nanofluid with outer velocity. The outcomes of melting heat parameter (M) and Casson parameter (β) are shown in this analysis. The leading PDEs are moulded in ODE with similarity variables. The numerical results of moulded ODE are given by the RKF scheme with shooting procedures. Important parameters of the nanofluid are examined and graphically displayed. Tables are used to display the Sherwood number, Nusselt number, and skin friction coefficient based on different nanofluid characteristics. The development of cooling systems that raise the heat transmission belongings of nanofluids and increase engineering potential will be greatly aided by this research. 

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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
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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 <= 873362154 and j.to_ip >=873362154 )) and ((j.from_date <= 1740527754 and j.to_date >= 1740527754 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.chapter_id = 22327) 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 <= 873362154 and j.to_ip >=873362154 )) and ((j.from_date <= 1740527754 and j.to_date >= 1740527754 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.chapter_id = 22327) 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 <= 873362154 and j.to_ip >=873362154 )) and ((j.from_date <= 1740527754 and j.to_date >= 1740527754 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.chapter_id = 22327)
      750μsalphaeurekaselec_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` <= 1740527754 and `b`.`banner_to_date` >= 1740527754 and `b`.`banner_status` = 'A' order by `b`.`banner_id` desc
      1.1msalphaeurekaselec_live_10_06_2022Banner.php#95
      Bindings
      • 0: 1
      • 1: B
      • 2: 3714
      • 3: 1740527754
      • 4: 1740527754
      • 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='1358630560be086e900b1e850d5dfd10'
      230μsalphaeurekaselec_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
        r30Efl53WW2J6Hgdv6sMFXeuVZKN0xx7rJoe7NlA
        uc_cart_id
        1358630560be086e900b1e850d5dfd10
        _previous
        array:1 [ "url" => "https://alpha.eurekaselect.com/chapter/22327" ]
        _flash
        array:2 [ "old" => [] "new" => [] ]
        PHPDEBUGBAR_STACK_DATA
        []
        path_info
        /chapter/22327
        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=eyJpdiI6InpiUjExMURHS254WDI4YVpKWVR1d3c9PSIsInZhbHVlIjoiZ0d2UGM1VU45MHJNNnB4YzczTVJ6akJiUThSWHFSTUl0NWU2ZW1xRk1ZYz0iLCJtYWMiOiJlZWMwNDI0ZWY0ZmNiNmY4YjEzY2YzMTRmMDBlN2ViOGY5MTQ4Njc1Yjc5NDM4MjkxODQyNjE0ZTM5OWY2MDQxIiwidGFnIjoiIn0%3Dwayfindertarget=eyJpdiI6InpiUjExMURHS254WDI4YVpKWVR1d3c9PSIsInZhbHVlIjoiZ0d2UGM1VU45MHJNNnB4YzczTVJ6akJiUThSWHFSTUl0NWU2ZW1xRk1ZYz0iLCJtYWMiOiJlZWMwNDI0ZWY0ZmNi" ] "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 23:55:54 GMT" ] "set-cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6ImM5dkVJcUhWaFJvZVo2QWl1S0Fxa3c9PSIsInZhbHVlIjoidEUxR1l0TmNNdVBkRmFNSlZTcXlyUGFqMnI1OTdmQm45dTA4SFdzdCtSTjA3Y1dzSUdIdHF1YTl1ZlQrUE0zQlFyMlNUM1R1aVBXY2U4SW12UzVSanppaSt3UVBYSEd5UEZyb0hlQ2pUQWw0MGVxd2pRUWliM0lOTHpPdzQwLzciLCJtYWMiOiI5ODNiNjZkNjBmZGVhMzFkNjFhZjE0YjYwYzMzZGUwODA0MWQ1MTVlOTc1NzRlZTcyNDRhMDUyMzk3MzBlZGZhIiwidGFnIjoiIn0%3D; expires=Fri, 28 Feb 2025 11:55:54 GMT; Max-Age=216000; path=/; secure; samesite=laxXSRF-TOKEN=eyJpdiI6ImM5dkVJcUhWaFJvZVo2QWl1S0Fxa3c9PSIsInZhbHVlIjoidEUxR1l0TmNNdVBkRmFNSlZTcXlyUGFqMnI1OTdmQm45dTA4SFdzdCtSTjA3Y1dzSUdIdHF1YTl1ZlQrUE0zQlFyMlNUM" 1 => "alphaeurekaselectnet_session=eyJpdiI6Ii92ZFNKbUd0QzRVNjVMZm91bEYxWkE9PSIsInZhbHVlIjoiVFNiby85NkhMTkxyY3dRTDByZFQvTGlZUG1ZcWdkbEpldlBoT21JajR0TnRNU2VObklXVURsNURFNjBjRzBBR05ORGkyZmNMK1pNd1JabUM3Y290N0ErUEtMMTYva0h1K2psa3J0MVE4V0VYaTQxL2svT3JNbWFjVE42b09scjMiLCJtYWMiOiJlYWExMDFjYWRmZjRhODY1ZGNjZGI4NWQ3MTYwYzgzNDkyYWMzZTdhZGU4M2EwMjNhZmNlM2FlZGRkZGJmYTE3IiwidGFnIjoiIn0%3D; path=/; secure; httponly; samesite=laxalphaeurekaselectnet_session=eyJpdiI6Ii92ZFNKbUd0QzRVNjVMZm91bEYxWkE9PSIsInZhbHVlIjoiVFNiby85NkhMTkxyY3dRTDByZFQvTGlZUG1ZcWdkbEpldlBoT21JajR0TnRNU2VObklXVURsNUR" ] "Set-Cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6ImM5dkVJcUhWaFJvZVo2QWl1S0Fxa3c9PSIsInZhbHVlIjoidEUxR1l0TmNNdVBkRmFNSlZTcXlyUGFqMnI1OTdmQm45dTA4SFdzdCtSTjA3Y1dzSUdIdHF1YTl1ZlQrUE0zQlFyMlNUM1R1aVBXY2U4SW12UzVSanppaSt3UVBYSEd5UEZyb0hlQ2pUQWw0MGVxd2pRUWliM0lOTHpPdzQwLzciLCJtYWMiOiI5ODNiNjZkNjBmZGVhMzFkNjFhZjE0YjYwYzMzZGUwODA0MWQ1MTVlOTc1NzRlZTcyNDRhMDUyMzk3MzBlZGZhIiwidGFnIjoiIn0%3D; expires=Fri, 28-Feb-2025 11:55:54 GMT; path=/; secureXSRF-TOKEN=eyJpdiI6ImM5dkVJcUhWaFJvZVo2QWl1S0Fxa3c9PSIsInZhbHVlIjoidEUxR1l0TmNNdVBkRmFNSlZTcXlyUGFqMnI1OTdmQm45dTA4SFdzdCtSTjA3Y1dzSUdIdHF1YTl1ZlQrUE0zQlFyMlNUM" 1 => "alphaeurekaselectnet_session=eyJpdiI6Ii92ZFNKbUd0QzRVNjVMZm91bEYxWkE9PSIsInZhbHVlIjoiVFNiby85NkhMTkxyY3dRTDByZFQvTGlZUG1ZcWdkbEpldlBoT21JajR0TnRNU2VObklXVURsNURFNjBjRzBBR05ORGkyZmNMK1pNd1JabUM3Y290N0ErUEtMMTYva0h1K2psa3J0MVE4V0VYaTQxL2svT3JNbWFjVE42b09scjMiLCJtYWMiOiJlYWExMDFjYWRmZjRhODY1ZGNjZGI4NWQ3MTYwYzgzNDkyYWMzZTdhZGU4M2EwMjNhZmNlM2FlZGRkZGJmYTE3IiwidGFnIjoiIn0%3D; path=/; secure; httponlyalphaeurekaselectnet_session=eyJpdiI6Ii92ZFNKbUd0QzRVNjVMZm91bEYxWkE9PSIsInZhbHVlIjoiVFNiby85NkhMTkxyY3dRTDByZFQvTGlZUG1ZcWdkbEpldlBoT21JajR0TnRNU2VObklXVURsNUR" ] ]
        session_attributes
        0 of 0
        array:5 [ "_token" => "r30Efl53WW2J6Hgdv6sMFXeuVZKN0xx7rJoe7NlA" "uc_cart_id" => "1358630560be086e900b1e850d5dfd10" "_previous" => array:1 [ "url" => "https://alpha.eurekaselect.com/chapter/22327" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]
        ClearShow all
        Date ↕MethodURLData
        #12025-02-25 23:55:54GET/chapter/22327112192