Chers finalistes, préparez-vous pour le grand jour avec nos contenus !

Des items de toutes les options taillés sur mesure pour que vous prépariez mieux vos épreuves

Start learning
MODES DE TRANSFERT THERMIQUE
Matériel didactique : Machines à calculer
Objectif opérationnel : A la fin de la leçon, l'élève sera capable de définir et de lier les lois spécifiques à ces modes de transfert thermique.

Rappel

En quoi s'exprime la chaleur dans le SI ?

Quand est-ce qu'on a la chaleur?

Rappel

La chaleur dans le SI s'exprime en joule.

L'énergie thermique est transférée du corps chaud au corps froid.

Motivation

Pour mieux terminer un transfert, on doit s'atelier sur quoi? 

Motivation

Pour mieux terminer un transfert, on doit s'atelier sur les modes de transfert.

Annonce du Sujet

Qu'allons-nous étudier aujourd'hui?

Annonce du Sujet

Aujourd'hui nous allons étudier les modes de transfert thermique.

Analyse

Quels sont les modes de transfert thermique?

Analyse

Les modes de transfert thermique les mieux connus sont :

  • La conduction
  • La convection
  • Le rayonnement

La conduction est le mode de transfert thermique dans les solides, qui se fait sans transfert des matières.

Cependant, une loi explicite de la conduction est la loi de FOURIER qui a pour formule :

Δt =t2-b1

: La puissance thermique W

A = m2

λ = La conductivité thermique

L= m

: La puissance thermique W

6 =5,67.10-8 : Constante de Stefan T°C °K

A : Aire  de surface (m2)

Ɛ : Emissivité 

Qu'est-ce que nous venons d'étudier?

Nous venons d'étudier les modes de transfert thermique.

8.1.28PHP Version138msRequest Duration6MBMemory UsageGET lessons/{id}/{slug}Route
    • Booting (32.66ms)
    • Application (105ms)
    • 1 x Application (76.29%)
      105.30ms
      1 x Booting (23.66%)
      32.66ms
      7 templates were rendered
      • public.lessons.show (resources/views/public/lessons/show.blade.php)2bladefile
        Params
        0
        lesson
        1
        lessons
      • components.banner-page (resources/views/components/banner-page.blade.php)7bladefile
        Params
        0
        property
        1
        firstTitle
        2
        secondTitle
        3
        src
        4
        attributes
        5
        slot
        6
        __laravel_slots
      • components.ad-card-lesson-long (resources/views/components/ad-card-lesson-long.blade.php)7bladefile
        Params
        0
        summary
        1
        title
        2
        actionLink
        3
        actionText
        4
        attributes
        5
        slot
        6
        __laravel_slots
      • components.button-link (resources/views/components/button-link.blade.php)6bladefile
        Params
        0
        class
        1
        title
        2
        href
        3
        attributes
        4
        slot
        5
        __laravel_slots
      • layouts.public (resources/views/layouts/public.blade.php)10bladefile
        Params
        0
        __env
        1
        app
        2
        errors
        3
        lesson
        4
        lessons
        5
        component
        6
        __currentLoopData
        7
        lesson_
        8
        loop
        9
        section
      • layouts.include.public.header (resources/views/layouts/include/public/header.blade.php)10bladefile
        Params
        0
        __env
        1
        app
        2
        errors
        3
        lesson
        4
        lessons
        5
        component
        6
        __currentLoopData
        7
        lesson_
        8
        loop
        9
        section
      • layouts.include.public.footer (resources/views/layouts/include/public/footer.blade.php)10bladefile
        Params
        0
        __env
        1
        app
        2
        errors
        3
        lesson
        4
        lessons
        5
        component
        6
        __currentLoopData
        7
        lesson_
        8
        loop
        9
        section
      uri
      GET lessons/{id}/{slug}
      middleware
      web
      controller
      App\Http\Controllers\Public\LessonController@show
      as
      public.lesson.show
      namespace
      prefix
      /lessons
      where
      file
      app/Http/Controllers/Public/LessonController.php:86-138
      36 statements were executed57.39ms
      • select * from `oldt_posts` where (`id` = '2806' and `slug` = 'modes-de-transfert-thermique') and exists (select * from `oldt_material_sheets` where `oldt_posts`.`material_sheet_id` = `oldt_material_sheets`.`id`) limit 1
        1.84ms/app/Http/Controllers/Public/LessonController.php:92schoolap
        Metadata
        Bindings
        • 0. 2806
        • 1. modes-de-transfert-thermique
        Backtrace
        • 15. /app/Http/Controllers/Public/LessonController.php:92
        • 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
        • 19. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `lessons` where `lessons`.`id` = '2806' and `lessons`.`deleted_at` is null limit 1
        570μs/app/Repositories/LessonRepository.php:41schoolap
        Metadata
        Bindings
        • 0. 2806
        Backtrace
        • 19. /app/Repositories/LessonRepository.php:41
        • 20. /app/Http/Controllers/Public/LessonController.php:95
        • 21. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 22. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 23. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
      • select * from `lessons` where `lessons`.`deleted_at` is null order by RAND() limit 4
        27.98ms/app/Http/Controllers/Public/LessonController.php:96schoolap
        Metadata
        Backtrace
        • 14. /app/Http/Controllers/Public/LessonController.php:96
        • 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
        • 18. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • update `lessons` set `count_view` = `count_view` + 1, `lessons`.`updated_at` = '2025-05-08 23:14:30' where `id` = 2806 and `lessons`.`deleted_at` is null
        4.95ms/app/Http/Controllers/Public/LessonController.php:98schoolap
        Metadata
        Bindings
        • 0. 2025-05-08 23:14:30
        • 1. 2806
        Backtrace
        • 16. /app/Http/Controllers/Public/LessonController.php:98
        • 17. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 18. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 19. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 20. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `chapters` where `chapters`.`id` = 631 and `chapters`.`deleted_at` is null limit 1
        910μsview::public.lessons.show:10schoolap
        Metadata
        Bindings
        • 0. 631
        Backtrace
        • 20. view::public.lessons.show:10
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `course_classes` where `course_classes`.`id` = 287 and `course_classes`.`deleted_at` is null limit 1
        630μsview::public.lessons.show:10schoolap
        Metadata
        Bindings
        • 0. 287
        Backtrace
        • 20. view::public.lessons.show:10
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `classes` where `classes`.`id` in (88) and `classes`.`deleted_at` is null
        740μsview::public.lessons.show:10schoolap
        Metadata
        Backtrace
        • 25. view::public.lessons.show:10
        • 27. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 28. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 29. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 30. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `cycle_levels` where `cycle_levels`.`id` in (70)
        560μsview::public.lessons.show:10schoolap
        Metadata
        Backtrace
        • 30. view::public.lessons.show:10
        • 32. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 33. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 34. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 35. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `cycles` where `cycles`.`id` in (11)
        420μsview::public.lessons.show:10schoolap
        Metadata
        Backtrace
        • 35. view::public.lessons.show:10
        • 37. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 38. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 39. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 40. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `levels` where `levels`.`id` in (28)
        460μsview::public.lessons.show:10schoolap
        Metadata
        Backtrace
        • 35. view::public.lessons.show:10
        • 37. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 38. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 39. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 40. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `courses` where `courses`.`id` in (16) and `courses`.`deleted_at` is null
        440μsview::public.lessons.show:10schoolap
        Metadata
        Backtrace
        • 25. view::public.lessons.show:10
        • 27. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 28. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 29. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 30. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_sections` where `lesson_sections`.`lesson_id` = 2806 and `lesson_sections`.`lesson_id` is not null
        800μsview::public.lessons.show:116schoolap
        Metadata
        Bindings
        • 0. 2806
        Backtrace
        • 19. view::public.lessons.show:116
        • 21. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 24. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 29230 and `lesson_contents`.`deleted_at` is null limit 1
        740μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 29230
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 29013 and `content_texts`.`deleted_at` is null limit 1
        900μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 29013
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 29231 and `lesson_contents`.`deleted_at` is null limit 1
        640μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 29231
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 29014 and `content_texts`.`deleted_at` is null limit 1
        830μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 29014
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 29232 and `lesson_contents`.`deleted_at` is null limit 1
        4.08msview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 29232
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 29015 and `content_texts`.`deleted_at` is null limit 1
        740μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 29015
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 29233 and `lesson_contents`.`deleted_at` is null limit 1
        580μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 29233
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 29016 and `content_texts`.`deleted_at` is null limit 1
        600μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 29016
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 29234 and `lesson_contents`.`deleted_at` is null limit 1
        460μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 29234
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 29017 and `content_texts`.`deleted_at` is null limit 1
        700μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 29017
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 29235 and `lesson_contents`.`deleted_at` is null limit 1
        500μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 29235
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 29018 and `content_texts`.`deleted_at` is null limit 1
        410μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 29018
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 29236 and `lesson_contents`.`deleted_at` is null limit 1
        540μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 29236
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 29019 and `content_texts`.`deleted_at` is null limit 1
        600μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 29019
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 29237 and `lesson_contents`.`deleted_at` is null limit 1
        550μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 29237
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 29020 and `content_texts`.`deleted_at` is null limit 1
        680μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 29020
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 29238 and `lesson_contents`.`deleted_at` is null limit 1
        390μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 29238
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 29021 and `content_texts`.`deleted_at` is null limit 1
        550μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 29021
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 29239 and `lesson_contents`.`deleted_at` is null limit 1
        410μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 29239
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 29022 and `content_texts`.`deleted_at` is null limit 1
        390μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 29022
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 29240 and `lesson_contents`.`deleted_at` is null limit 1
        470μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 29240
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 29023 and `content_texts`.`deleted_at` is null limit 1
        460μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 29023
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 29241 and `lesson_contents`.`deleted_at` is null limit 1
        520μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 29241
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 29024 and `content_texts`.`deleted_at` is null limit 1
        350μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 29024
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      App\Models\ContentText
      12
      App\Models\Lesson\LessonContent
      12
      App\Models\Lesson\LessonSection
      12
      App\Models\Course\Course
      1
      App\Models\Level
      1
      App\Models\Cycle
      1
      App\Models\CycleLevel
      1
      App\Models\Classe
      1
      App\Models\Course\CourseClass
      1
      App\Models\Chapter
      1
      App\Models\Lesson\Lesson
      5
        _token
        OjSBAML0juBE3EL9HF4BtTsMA2Vdp5WIrgIl8jB9
        applocale
        en
        _previous
        array:1 [ "url" => "https://s8.schoolap.com/lessons/2806/modes-de-transfert-thermique" ]
        _flash
        array:2 [ "old" => [] "new" => [] ]
        PHPDEBUGBAR_STACK_DATA
        []
        path_info
        /lessons/2806/modes-de-transfert-thermique
        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 [ "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 => ""Chromium";v="130", "HeadlessChrome";v="130", "Not?A_Brand";v="99"" ] "cache-control" => array:1 [ 0 => "no-cache" ] "pragma" => array:1 [ 0 => "no-cache" ] "connection" => array:1 [ 0 => "keep-alive" ] "host" => array:1 [ 0 => "s8.schoolap.com" ] "content-length" => array:1 [ 0 => "" ] "content-type" => array:1 [ 0 => "" ] ]
        request_server
        0 of 0
        array:41 [ "USER" => "www-data" "HOME" => "/var/www" "HTTP_ACCEPT_ENCODING" => "gzip, deflate, br, zstd" "HTTP_SEC_FETCH_DEST" => "document" "HTTP_SEC_FETCH_USER" => "?1" "HTTP_SEC_FETCH_MODE" => "navigate" "HTTP_SEC_FETCH_SITE" => "none" "HTTP_ACCEPT" => "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" "HTTP_USER_AGENT" => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" "HTTP_UPGRADE_INSECURE_REQUESTS" => "1" "HTTP_SEC_CH_UA_PLATFORM" => ""Windows"" "HTTP_SEC_CH_UA_MOBILE" => "?0" "HTTP_SEC_CH_UA" => ""Chromium";v="130", "HeadlessChrome";v="130", "Not?A_Brand";v="99"" "HTTP_CACHE_CONTROL" => "no-cache" "HTTP_PRAGMA" => "no-cache" "HTTP_CONNECTION" => "keep-alive" "HTTP_HOST" => "s8.schoolap.com" "REDIRECT_STATUS" => "200" "SERVER_NAME" => "s8.schoolap.com" "SERVER_PORT" => "443" "SERVER_ADDR" => "188.166.147.66" "REMOTE_PORT" => "53246" "REMOTE_ADDR" => "3.148.117.22" "SERVER_SOFTWARE" => "nginx/1.18.0" "GATEWAY_INTERFACE" => "CGI/1.1" "HTTPS" => "on" "REQUEST_SCHEME" => "https" "SERVER_PROTOCOL" => "HTTP/1.1" "DOCUMENT_ROOT" => "/var/www/s8.schoolap.com/public" "DOCUMENT_URI" => "/index.php" "REQUEST_URI" => "/lessons/2806/modes-de-transfert-thermique" "SCRIPT_NAME" => "/index.php" "CONTENT_LENGTH" => "" "CONTENT_TYPE" => "" "REQUEST_METHOD" => "GET" "QUERY_STRING" => "" "SCRIPT_FILENAME" => "/var/www/s8.schoolap.com/public/index.php" "FCGI_ROLE" => "RESPONDER" "PHP_SELF" => "/index.php" "REQUEST_TIME_FLOAT" => 1746746070.2956 "REQUEST_TIME" => 1746746070 ]
        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 => "Thu, 08 May 2025 23:14:30 GMT" ] "set-cookie" => array:3 [ 0 => "lang_schoolap=eyJpdiI6Inpsd0pydjF2RXlmWWJ5bmxyaHNyNFE9PSIsInZhbHVlIjoicmdVbWorVzhvVnFtRjhMN1RLSnlJNG1IUThWNlpsOFU0aTlLV0RYZHp0dTJoOWRJdHhYRG5YaU41a2tvY29FRyIsIm1hYyI6IjMxYjY5MzNhNDhjZmJlZWM3YTNmZDUwM2EzZDgzZDQwNDBkM2JkZjUzZDhhNWE2YjJiZDlkY2U5YWY5YTM4N2IiLCJ0YWciOiIifQ%3D%3D; expires=Thu, 15 May 2025 21:54:30 GMT; Max-Age=600000; path=/; httponly; samesite=laxlang_schoolap=eyJpdiI6Inpsd0pydjF2RXlmWWJ5bmxyaHNyNFE9PSIsInZhbHVlIjoicmdVbWorVzhvVnFtRjhMN1RLSnlJNG1IUThWNlpsOFU0aTlLV0RYZHp0dTJoOWRJdHhYRG5YaU41a2tvY29FRyIsIm" 1 => "XSRF-TOKEN=eyJpdiI6IlN1eDgzTlBBazVBOU5hZ2x2UkNCUkE9PSIsInZhbHVlIjoiKzkxcmxtL0ZWRkdrL056Z2dTV28yWTJMYzRxRjNlL3dCV3UrK0FiMW9IZlgvQ212QU1sa0VhVzdsUTZVWk9TdGIyd3NlWlpwcTdkSzNERERMSUY4SURzWXkyU0JxT2ZxdnEzQzlTdFMvalZjWlc3c0h2NVBlclprQ0dYT0pQQkQiLCJtYWMiOiI2NzJkODQzOGMzZjkwMWJhNWFjMmU1OTljMjJhYzhmOGY2MmNhMGI4NjNmMjMwZjBhMWQ1ZmQ3Y2I3ODBiZTNhIiwidGFnIjoiIn0%3D; expires=Fri, 09 May 2025 01:14:30 GMT; Max-Age=7200; path=/; samesite=laxXSRF-TOKEN=eyJpdiI6IlN1eDgzTlBBazVBOU5hZ2x2UkNCUkE9PSIsInZhbHVlIjoiKzkxcmxtL0ZWRkdrL056Z2dTV28yWTJMYzRxRjNlL3dCV3UrK0FiMW9IZlgvQ212QU1sa0VhVzdsUTZVWk9TdGIyd3NlW" 2 => "schoolap_session=eyJpdiI6IjlhQS9CRkZkcTBhYk9YNGFaRGF5bGc9PSIsInZhbHVlIjoiYlc0RlRXT25HTUpGNjVUS0g5UFdXTU9pRGVDbXV6WUI2WWlFNFk0eFN0c1h0b2VFMThpbmI0eDBJSlo2YTNSYUMreC9VallidndSeXRkRXI4V2lRd0ZmYXJ4cjFNR3JhVHl0cmUrQlhJaCtNUmJPMUk3bWlleW8wcmRuUFhYM0kiLCJtYWMiOiI1ZmZhYjNmNTEyMWI0ZjMzODZhMDc0YjU0ZDJkZjMwYmI2MWQyYjkzMThhNzA3M2QxM2E2YWFkZWQzODJiZjhhIiwidGFnIjoiIn0%3D; expires=Fri, 09 May 2025 01:14:30 GMT; Max-Age=7200; path=/; httponly; samesite=laxschoolap_session=eyJpdiI6IjlhQS9CRkZkcTBhYk9YNGFaRGF5bGc9PSIsInZhbHVlIjoiYlc0RlRXT25HTUpGNjVUS0g5UFdXTU9pRGVDbXV6WUI2WWlFNFk0eFN0c1h0b2VFMThpbmI0eDBJSlo2YTNSYUM" ] "Set-Cookie" => array:3 [ 0 => "lang_schoolap=eyJpdiI6Inpsd0pydjF2RXlmWWJ5bmxyaHNyNFE9PSIsInZhbHVlIjoicmdVbWorVzhvVnFtRjhMN1RLSnlJNG1IUThWNlpsOFU0aTlLV0RYZHp0dTJoOWRJdHhYRG5YaU41a2tvY29FRyIsIm1hYyI6IjMxYjY5MzNhNDhjZmJlZWM3YTNmZDUwM2EzZDgzZDQwNDBkM2JkZjUzZDhhNWE2YjJiZDlkY2U5YWY5YTM4N2IiLCJ0YWciOiIifQ%3D%3D; expires=Thu, 15-May-2025 21:54:30 GMT; path=/; httponlylang_schoolap=eyJpdiI6Inpsd0pydjF2RXlmWWJ5bmxyaHNyNFE9PSIsInZhbHVlIjoicmdVbWorVzhvVnFtRjhMN1RLSnlJNG1IUThWNlpsOFU0aTlLV0RYZHp0dTJoOWRJdHhYRG5YaU41a2tvY29FRyIsIm" 1 => "XSRF-TOKEN=eyJpdiI6IlN1eDgzTlBBazVBOU5hZ2x2UkNCUkE9PSIsInZhbHVlIjoiKzkxcmxtL0ZWRkdrL056Z2dTV28yWTJMYzRxRjNlL3dCV3UrK0FiMW9IZlgvQ212QU1sa0VhVzdsUTZVWk9TdGIyd3NlWlpwcTdkSzNERERMSUY4SURzWXkyU0JxT2ZxdnEzQzlTdFMvalZjWlc3c0h2NVBlclprQ0dYT0pQQkQiLCJtYWMiOiI2NzJkODQzOGMzZjkwMWJhNWFjMmU1OTljMjJhYzhmOGY2MmNhMGI4NjNmMjMwZjBhMWQ1ZmQ3Y2I3ODBiZTNhIiwidGFnIjoiIn0%3D; expires=Fri, 09-May-2025 01:14:30 GMT; path=/XSRF-TOKEN=eyJpdiI6IlN1eDgzTlBBazVBOU5hZ2x2UkNCUkE9PSIsInZhbHVlIjoiKzkxcmxtL0ZWRkdrL056Z2dTV28yWTJMYzRxRjNlL3dCV3UrK0FiMW9IZlgvQ212QU1sa0VhVzdsUTZVWk9TdGIyd3NlW" 2 => "schoolap_session=eyJpdiI6IjlhQS9CRkZkcTBhYk9YNGFaRGF5bGc9PSIsInZhbHVlIjoiYlc0RlRXT25HTUpGNjVUS0g5UFdXTU9pRGVDbXV6WUI2WWlFNFk0eFN0c1h0b2VFMThpbmI0eDBJSlo2YTNSYUMreC9VallidndSeXRkRXI4V2lRd0ZmYXJ4cjFNR3JhVHl0cmUrQlhJaCtNUmJPMUk3bWlleW8wcmRuUFhYM0kiLCJtYWMiOiI1ZmZhYjNmNTEyMWI0ZjMzODZhMDc0YjU0ZDJkZjMwYmI2MWQyYjkzMThhNzA3M2QxM2E2YWFkZWQzODJiZjhhIiwidGFnIjoiIn0%3D; expires=Fri, 09-May-2025 01:14:30 GMT; path=/; httponlyschoolap_session=eyJpdiI6IjlhQS9CRkZkcTBhYk9YNGFaRGF5bGc9PSIsInZhbHVlIjoiYlc0RlRXT25HTUpGNjVUS0g5UFdXTU9pRGVDbXV6WUI2WWlFNFk0eFN0c1h0b2VFMThpbmI0eDBJSlo2YTNSYUM" ] ]
        session_attributes
        0 of 0
        array:5 [ "_token" => "OjSBAML0juBE3EL9HF4BtTsMA2Vdp5WIrgIl8jB9" "applocale" => "en" "_previous" => array:1 [ "url" => "https://s8.schoolap.com/lessons/2806/modes-de-transfert-thermique" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]