80ccc1f6de
Rendre le dashboard actionnable (inbox, peek, carte mentale), aligner la facturation sur l’essai 7 jours, et bloquer le login e-mail tant que l’adresse n’est pas confirmée. Co-authored-by: Cursor <cursoragent@cursor.com>
382 lines
11 KiB
JSON
382 lines
11 KiB
JSON
{
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"schemaVersion": 1,
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"id": "page.thermo-test",
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"lang": "fr",
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"hero": {
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"kicker": "EXPLAINER INTERACTIF",
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"title": "Cycle frigorifique",
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"subtitle": "Compression, condensation, détente, évaporation",
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"meta": "Note de cours · valeurs illustratives"
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},
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"overview": {
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"lead": "Le cycle frigorifique déplace de la chaleur du froid vers le chaud grâce à un travail $W$.",
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"cards": [
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{
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"badge": "PROBLEM",
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"title": "Objectif",
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"body": "Extraire $Q_e$ à basse température.",
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"intent": "warning"
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},
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{
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"badge": "APPROACH",
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"title": "Cycle",
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"body": "Quatre organes en boucle fermée.",
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"intent": "flow"
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},
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{
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"badge": "RESULT",
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"title": "COP",
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"body": "$\\mathrm{COP}=Q_e/W$",
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"intent": "output"
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}
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]
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},
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"sections": [
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{
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"id": "s1",
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"title": "Le problème",
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"blocks": [
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{
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"type": "prose",
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"md": "On veut **refroidir** un volume en rejetant la chaleur à l’extérieur."
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},
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{
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"type": "callout",
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"kind": "definition",
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"title": "Travail",
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"md": "Le compresseur fournit $W=h_2-h_1$."
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}
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]
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},
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{
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"id": "s2",
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"title": "Échanges",
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"blocks": [
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{
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"type": "formula",
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"tex": "\\mathrm{COP}=\\frac{Q_e}{W}",
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"caption": "Coefficient de performance"
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},
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{
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"type": "sim",
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"sim": {
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"simId": "ts-diagram"
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},
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"caption": "Le même cycle sur le diagramme T–s : les aires sont les chaleurs échangées."
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},
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{
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"type": "steps",
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"title": "Le COP frigorifique, dérivé pas à pas",
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"steps": [
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{
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"tex": "\\eta_{\\text{Carnot}} = 1 - \\frac{T_c}{T_h}",
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"rule": "Point de départ — rendement de Carnot",
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"speak": "Le rendement maximal d'un moteur entre $T_h$ et $T_c$ ne dépend que des températures."
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},
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{
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"tex": "\\mathrm{COP}_{\\text{PAC}} = \\frac{1}{\\eta_{\\text{Carnot}}} = \\frac{T_h}{T_h - T_c}",
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"rule": "Inversion — pompe à chaleur",
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"speak": "La pompe à chaleur est l'inverse du moteur : son COP est l'inverse du rendement."
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},
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{
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"tex": "\\mathrm{COP}_{\\text{frigo}} = \\mathrm{COP}_{\\text{PAC}} - 1 = \\frac{T_c}{T_h - T_c}",
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"rule": "Soustraction de 1 — réfrigérateur",
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"speak": "Le frigo ne compte que la chaleur utile $Q_c$ : on retire 1 au COP de la PAC."
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},
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{
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"tex": "\\mathrm{COP}_{\\text{frigo}} = \\frac{260}{300 - 260} = 6{,}5",
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"rule": "Application numérique",
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"speak": "Avec $T_c = 260$ K et $T_h = 300$ K : le COP maximal vaut 6,5."
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}
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],
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"caption": "Chaque ligne découle de la précédente — la règle appliquée est en marge."
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}
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]
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},
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{
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"id": "s3",
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"title": "Isotherme",
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"blocks": [
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{
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"type": "chart",
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"payload": {
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"chartType": "line",
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"series": [
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{
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"id": "p",
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"label": "P(V)",
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"values": [
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4,
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2.5,
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1.8,
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1.4,
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1.2
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],
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"intent": "flow"
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}
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]
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},
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"caption": "Pression vs volume (illustratif)"
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},
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{
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"type": "demo",
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"caption": "Le cycle à compression de vapeur — 4 organes en boucle fermée.",
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"demo": {
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"schemaVersion": 1,
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"id": "demo.vapor-cycle",
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"lang": "fr",
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"disclaimer": "Schéma pédagogique — valeurs illustratives.",
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"scene": {
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"id": "scene.cycle",
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"panels": [
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{
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"id": "panel.cycle",
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"type": "svg-scene",
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"payload": {
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"nodes": [
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{
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"id": "comp",
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"label": "1 · Compresseur\n$W = h_2 - h_1$",
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"intent": "compute"
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},
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{
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"id": "cond",
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"label": "2 · Condenseur\n$Q_c = h_2 - h_3$",
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"intent": "output"
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},
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{
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"id": "exp",
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"label": "3 · Détente\n$h_3 = h_4$",
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"intent": "flow"
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},
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{
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"id": "evap",
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"label": "4 · Évaporateur\n$Q_e = h_1 - h_4$",
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"intent": "cache"
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},
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{
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"id": "work",
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"label": "Travail fourni $W$",
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"intent": "highlight"
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}
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],
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"edges": [
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{
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"id": "e12",
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"from": "comp",
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"to": "cond",
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"style": "solid",
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"intent": "flow"
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},
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{
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"id": "e23",
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"from": "cond",
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"to": "exp",
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"style": "solid",
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"intent": "flow"
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},
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{
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"id": "e34",
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"from": "exp",
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"to": "evap",
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"style": "solid",
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"intent": "flow"
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},
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{
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"id": "e41",
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"from": "evap",
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"to": "comp",
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"style": "solid",
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"intent": "flow"
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},
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{
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"id": "ew",
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"from": "work",
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"to": "comp",
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"style": "dashed",
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"intent": "highlight"
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}
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]
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}
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}
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]
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},
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"acts": [
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{
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"id": "a1",
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"title": "Cycle",
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"pattern": "flowTrace",
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"steps": [
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{
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"id": "a1.s1",
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"speak": "Le compresseur fournit le travail $W$ au fluide.",
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"pattern": "spotlightTour",
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"pointTo": [
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"comp"
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],
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"reveal": [
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{
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"ids": [
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"comp",
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"work",
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"ew"
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],
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"scope": "act"
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}
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]
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},
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{
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"id": "a1.s2",
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"speak": "Au condenseur, la chaleur $Q_c$ est rejetée vers l'extérieur.",
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"pattern": "spotlightTour",
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"pointTo": [
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"cond"
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],
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"reveal": [
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{
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"ids": [
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"cond",
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"e12"
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],
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"scope": "act"
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}
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]
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},
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{
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"id": "a1.s3",
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"speak": "La détente est isenthalpique : $h_3 = h_4$.",
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"pattern": "spotlightTour",
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"pointTo": [
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"exp"
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],
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"reveal": [
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{
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"ids": [
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"exp",
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"e23"
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],
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"scope": "act"
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}
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]
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},
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{
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"id": "a1.s4",
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"speak": "À l'évaporateur, le fluide absorbe $Q_e$ : c'est le froid utile.",
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"pattern": "spotlightTour",
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"pointTo": [
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"evap"
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],
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"reveal": [
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{
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"ids": [
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"evap",
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"e34"
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],
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"scope": "act"
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}
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]
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},
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{
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"id": "a1.s5",
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"speak": "Le cycle se boucle : le fluide retourne au compresseur.",
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"pattern": "overview",
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"reveal": [
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{
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"ids": [
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"comp",
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"cond",
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"exp",
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"evap",
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"work",
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"e12",
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"e23",
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"e34",
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"e41",
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"ew"
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],
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"scope": "act"
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}
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]
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}
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]
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}
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]
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}
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},
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{
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"type": "sim",
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"sim": {
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"simId": "carnot-cycle",
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"preset": {
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"t_cold": 260,
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"t_hot": 300,
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"q_cold": 100
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},
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"disclaimer": "Valeurs illustratives — les COP réels sont inférieurs au COP de Carnot."
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},
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"caption": "Manipulez les températures des sources : le COP maximal suit le 2ᵉ principe."
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},
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{
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"type": "sim",
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"sim": {
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"simId": "carnot-cycle-anim"
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},
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"caption": "Le cycle de Carnot battement par battement — piston et diagramme P–V en direct."
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},
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{
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"type": "stats",
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"items": [
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{
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"value": "3.2",
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"label": "COP typique",
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"intent": "output"
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},
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{
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"value": "1.25×",
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"label": "Gain relatif",
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"intent": "highlight"
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},
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{
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"value": "<2%",
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"label": "Pertes",
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"intent": "warning"
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}
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]
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}
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]
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},
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{
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"id": "s4",
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"title": "Synthèse",
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"blocks": [
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{
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"type": "table",
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"columns": [
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"Organe",
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"Échange"
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],
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"rows": [
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[
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"Compresseur",
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"$W$"
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],
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[
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"Condenseur",
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"$Q_c$"
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],
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[
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"Évaporateur",
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"$Q_e$"
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]
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]
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},
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{
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"type": "prose",
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"md": "Le COP mesure l’efficacité du cycle."
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}
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]
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}
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],
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"footer": "Valeurs pédagogiques — pas des mesures expérimentales."
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}
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