Computational Simulation and Experimental Techniques for Nanofluid Flow

Spectral Quasi-Linearization Method for Thixotropic Nanofluid Passing through a Stretching Surface with Activation Energy

Author(s): Anwesha Dingal, Puspita Mondal, Anindya Kundu, Sharmistha Ghosh and Hiranmoy Mondal * .

Pp: 116-130 (15)

DOI: 10.2174/9789815223705124010009

* (Excluding Mailing and Handling)

Abstract

The primary goal of the current investigation is to understand the thixotropic nanofluid’s magnetohydrodynamic (MHD) nonlinear convective flow. The implementation of appropriate transformations allows for the transition of sets of ordinary differential equations from partial differential systems. Spectral Quasi-Linearization Method (SQLM) is applied to solve these ODEs. Further study has been performed in order to establish a model for nanomaterials containing thermophoresis phenomena and Brownian motion. Graphs are used to depict and discuss the effects caused due to numerous quantities of fluid flow, temperature, environment, and nanoparticle concentration. In addition to this, the local Nusselt number, the skin friction coefficient, as well as the Sherwood number's numerical values, are determined and examined. Some interesting observations on velocity, heat, and concentration have been observed due to the variation made in thixotropic parameters and other allied parameters such as thermophoresis and Brownian motion. 

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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 <= 314448117 and j.to_ip >=314448117 )) and ((j.from_date <= 1740549790 and j.to_date >= 1740549790 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.chapter_id = 22329) 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 <= 314448117 and j.to_ip >=314448117 )) and ((j.from_date <= 1740549790 and j.to_date >= 1740549790 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.chapter_id = 22329) 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 <= 314448117 and j.to_ip >=314448117 )) and ((j.from_date <= 1740549790 and j.to_date >= 1740549790 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.chapter_id = 22329)
      600μsalphaeurekaselec_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` <= 1740549790 and `b`.`banner_to_date` >= 1740549790 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: 1740549790
      • 4: 1740549790
      • 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='bf6fdca338753721c912f8b6fb6f7d29'
      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
        5dgw15PAHvGlkMdiqlDf8gVoXRoluPUcG6VAqBkB
        uc_cart_id
        bf6fdca338753721c912f8b6fb6f7d29
        _previous
        array:1 [ "url" => "https://alpha.eurekaselect.com/chapter/22329" ]
        _flash
        array:2 [ "old" => [] "new" => [] ]
        PHPDEBUGBAR_STACK_DATA
        []
        path_info
        /chapter/22329
        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:16 [ "x-https" => array:1 [ 0 => "1" ] "host" => array:1 [ 0 => "alpha.eurekaselect.com" ] "priority" => array:1 [ 0 => "u=0, i" ] "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
        []
        
        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 => "Wed, 26 Feb 2025 06:03:10 GMT" ] "set-cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6IkVkVm5PbWtyZndsUFpTVlFaOHE2UUE9PSIsInZhbHVlIjoiSHVEVEIySDhOR0ViTGhhcytsMzJDbGx0Sk1BNVdPQ0xEOEczRkpJdDc1TzltSGVhZVF6NzJPSHZCMjdqbG5MUTU3eU5Lb2dvR1ZtSkNKUFdUZXR6SmR6TWtVaDVzUG00U0JYQXBuZ0RFMm5DOXhVWmlaMWFEZ1E0cWh4MDBvdisiLCJtYWMiOiI3YjlmNGMzOTNhZGI4MTk0ZGUxZmM2NDdlMWMxYjE4NWJkNTQwYTA5YjAwZTA4ZWM5ODEzNDhkMGE3OTUxZTU5IiwidGFnIjoiIn0%3D; expires=Fri, 28 Feb 2025 18:03:11 GMT; Max-Age=216000; path=/; secure; samesite=laxXSRF-TOKEN=eyJpdiI6IkVkVm5PbWtyZndsUFpTVlFaOHE2UUE9PSIsInZhbHVlIjoiSHVEVEIySDhOR0ViTGhhcytsMzJDbGx0Sk1BNVdPQ0xEOEczRkpJdDc1TzltSGVhZVF6NzJPSHZCMjdqbG5MUTU3eU5Lb" 1 => "alphaeurekaselectnet_session=eyJpdiI6ImUwUzB5VzR5Y2dpdEhWK0lFOVJPeWc9PSIsInZhbHVlIjoiSXJ3eTBubThVREx6cEJna0hrREx6UTFmc1NCbFRtQlBnOUJDeFpSWkZPQ3IwbmtRWmJZSEs2d2c1ejgybE9JcHh4QWFjTjJCdVl2VEEvbWhpZHNWSGdjcGRNcGxrelVRRURYcDRRcUxLSklVSVNKWm5vZjZ2aVl4VXhzYXRwR1EiLCJtYWMiOiIwMjQyMWZmNmY0Y2M0ZWUxMjE4YzM0NDVkODYzZDJiNTZjNmRiY2RiYzA4ZDRmMjRkM2FhODY2NjQwZTkxN2I1IiwidGFnIjoiIn0%3D; path=/; secure; httponly; samesite=laxalphaeurekaselectnet_session=eyJpdiI6ImUwUzB5VzR5Y2dpdEhWK0lFOVJPeWc9PSIsInZhbHVlIjoiSXJ3eTBubThVREx6cEJna0hrREx6UTFmc1NCbFRtQlBnOUJDeFpSWkZPQ3IwbmtRWmJZSEs2d2c" ] "Set-Cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6IkVkVm5PbWtyZndsUFpTVlFaOHE2UUE9PSIsInZhbHVlIjoiSHVEVEIySDhOR0ViTGhhcytsMzJDbGx0Sk1BNVdPQ0xEOEczRkpJdDc1TzltSGVhZVF6NzJPSHZCMjdqbG5MUTU3eU5Lb2dvR1ZtSkNKUFdUZXR6SmR6TWtVaDVzUG00U0JYQXBuZ0RFMm5DOXhVWmlaMWFEZ1E0cWh4MDBvdisiLCJtYWMiOiI3YjlmNGMzOTNhZGI4MTk0ZGUxZmM2NDdlMWMxYjE4NWJkNTQwYTA5YjAwZTA4ZWM5ODEzNDhkMGE3OTUxZTU5IiwidGFnIjoiIn0%3D; expires=Fri, 28-Feb-2025 18:03:11 GMT; path=/; secureXSRF-TOKEN=eyJpdiI6IkVkVm5PbWtyZndsUFpTVlFaOHE2UUE9PSIsInZhbHVlIjoiSHVEVEIySDhOR0ViTGhhcytsMzJDbGx0Sk1BNVdPQ0xEOEczRkpJdDc1TzltSGVhZVF6NzJPSHZCMjdqbG5MUTU3eU5Lb" 1 => "alphaeurekaselectnet_session=eyJpdiI6ImUwUzB5VzR5Y2dpdEhWK0lFOVJPeWc9PSIsInZhbHVlIjoiSXJ3eTBubThVREx6cEJna0hrREx6UTFmc1NCbFRtQlBnOUJDeFpSWkZPQ3IwbmtRWmJZSEs2d2c1ejgybE9JcHh4QWFjTjJCdVl2VEEvbWhpZHNWSGdjcGRNcGxrelVRRURYcDRRcUxLSklVSVNKWm5vZjZ2aVl4VXhzYXRwR1EiLCJtYWMiOiIwMjQyMWZmNmY0Y2M0ZWUxMjE4YzM0NDVkODYzZDJiNTZjNmRiY2RiYzA4ZDRmMjRkM2FhODY2NjQwZTkxN2I1IiwidGFnIjoiIn0%3D; path=/; secure; httponlyalphaeurekaselectnet_session=eyJpdiI6ImUwUzB5VzR5Y2dpdEhWK0lFOVJPeWc9PSIsInZhbHVlIjoiSXJ3eTBubThVREx6cEJna0hrREx6UTFmc1NCbFRtQlBnOUJDeFpSWkZPQ3IwbmtRWmJZSEs2d2c" ] ]
        session_attributes
        0 of 0
        array:5 [ "_token" => "5dgw15PAHvGlkMdiqlDf8gVoXRoluPUcG6VAqBkB" "uc_cart_id" => "bf6fdca338753721c912f8b6fb6f7d29" "_previous" => array:1 [ "url" => "https://alpha.eurekaselect.com/chapter/22329" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]
        ClearShow all
        Date ↕MethodURLData
        #12025-02-26 06:03:11GET/chapter/22329112192