{ "schemaVersion": 1, "id": "page.thermo-test", "lang": "fr", "hero": { "kicker": "EXPLAINER INTERACTIF", "title": "Cycle frigorifique", "subtitle": "Compression, condensation, détente, évaporation", "meta": "Note de cours · valeurs illustratives" }, "overview": { "lead": "Le cycle frigorifique déplace de la chaleur du froid vers le chaud grâce à un travail $W$.", "cards": [ { "badge": "PROBLEM", "title": "Objectif", "body": "Extraire $Q_e$ à basse température.", "intent": "warning" }, { "badge": "APPROACH", "title": "Cycle", "body": "Quatre organes en boucle fermée.", "intent": "flow" }, { "badge": "RESULT", "title": "COP", "body": "$\\mathrm{COP}=Q_e/W$", "intent": "output" } ] }, "sections": [ { "id": "s1", "title": "Le problème", "blocks": [ { "type": "prose", "md": "On veut **refroidir** un volume en rejetant la chaleur à l’extérieur." }, { "type": "callout", "kind": "definition", "title": "Travail", "md": "Le compresseur fournit $W=h_2-h_1$." } ] }, { "id": "s2", "title": "Échanges", "blocks": [ { "type": "formula", "tex": "\\mathrm{COP}=\\frac{Q_e}{W}", "caption": "Coefficient de performance" }, { "type": "sim", "sim": { "simId": "ts-diagram" }, "caption": "Le même cycle sur le diagramme T–s : les aires sont les chaleurs échangées." } ] }, { "id": "s3", "title": "Isotherme", "blocks": [ { "type": "chart", "payload": { "chartType": "line", "series": [ { "id": "p", "label": "P(V)", "values": [ 4, 2.5, 1.8, 1.4, 1.2 ], "intent": "flow" } ] }, "caption": "Pression vs volume (illustratif)" }, { "type": "demo", "caption": "Le cycle à compression de vapeur — 4 organes en boucle fermée.", "demo": { "schemaVersion": 1, "id": "demo.vapor-cycle", "lang": "fr", "disclaimer": "Schéma pédagogique — valeurs illustratives.", "scene": { "id": "scene.cycle", "panels": [ { "id": "panel.cycle", "type": "svg-scene", "payload": { "nodes": [ { "id": "comp", "label": "1 · Compresseur\n$W = h_2 - h_1$", "intent": "compute" }, { "id": "cond", "label": "2 · Condenseur\n$Q_c = h_2 - h_3$", "intent": "output" }, { "id": "exp", "label": "3 · Détente\n$h_3 = h_4$", "intent": "flow" }, { "id": "evap", "label": "4 · Évaporateur\n$Q_e = h_1 - h_4$", "intent": "cache" }, { "id": "work", "label": "Travail fourni $W$", "intent": "highlight" } ], "edges": [ { "id": "e12", "from": "comp", "to": "cond", "style": "solid", "intent": "flow" }, { "id": "e23", "from": "cond", "to": "exp", "style": "solid", "intent": "flow" }, { "id": "e34", "from": "exp", "to": "evap", "style": "solid", "intent": "flow" }, { "id": "e41", "from": "evap", "to": "comp", "style": "solid", "intent": "flow" }, { "id": "ew", "from": "work", "to": "comp", "style": "dashed", "intent": "highlight" } ] } } ] }, "acts": [ { "id": "a1", "title": "Cycle", "pattern": "flowTrace", "steps": [ { "id": "a1.s1", "speak": "Le compresseur fournit le travail $W$ au fluide.", "pattern": "spotlightTour", "pointTo": [ "comp" ], "reveal": [ { "ids": [ "comp", "work", "ew" ], "scope": "act" } ] }, { "id": "a1.s2", "speak": "Au condenseur, la chaleur $Q_c$ est rejetée vers l'extérieur.", "pattern": "spotlightTour", "pointTo": [ "cond" ], "reveal": [ { "ids": [ "cond", "e12" ], "scope": "act" } ] }, { "id": "a1.s3", "speak": "La détente est isenthalpique : $h_3 = h_4$.", "pattern": "spotlightTour", "pointTo": [ "exp" ], "reveal": [ { "ids": [ "exp", "e23" ], "scope": "act" } ] }, { "id": "a1.s4", "speak": "À l'évaporateur, le fluide absorbe $Q_e$ : c'est le froid utile.", "pattern": "spotlightTour", "pointTo": [ "evap" ], "reveal": [ { "ids": [ "evap", "e34" ], "scope": "act" } ] }, { "id": "a1.s5", "speak": "Le cycle se boucle : le fluide retourne au compresseur.", "pattern": "overview", "reveal": [ { "ids": [ "comp", "cond", "exp", "evap", "work", "e12", "e23", "e34", "e41", "ew" ], "scope": "act" } ] } ] } ] } }, { "type": "sim", "sim": { "simId": "carnot-cycle", "preset": { "t_cold": 260, "t_hot": 300, "q_cold": 100 }, "disclaimer": "Valeurs illustratives — les COP réels sont inférieurs au COP de Carnot." }, "caption": "Manipulez les températures des sources : le COP maximal suit le 2ᵉ principe." }, { "type": "sim", "sim": { "simId": "carnot-cycle-anim" }, "caption": "Le cycle de Carnot battement par battement — piston et diagramme P–V en direct." }, { "type": "stats", "items": [ { "value": "3.2", "label": "COP typique", "intent": "output" }, { "value": "1.25×", "label": "Gain relatif", "intent": "highlight" }, { "value": "<2%", "label": "Pertes", "intent": "warning" } ] } ] }, { "id": "s4", "title": "Synthèse", "blocks": [ { "type": "table", "columns": [ "Organe", "Échange" ], "rows": [ [ "Compresseur", "$W$" ], [ "Condenseur", "$Q_c$" ], [ "Évaporateur", "$Q_e$" ] ] }, { "type": "prose", "md": "Le COP mesure l’efficacité du cycle." } ] } ], "footer": "Valeurs pédagogiques — pas des mesures expérimentales." }