Thermodynamic and Mechanical Study/fr - Revision history

FuzzyBot: Updating to match new version of source page

2026-10-10T13:01:20Z

Updating to match new version of source page

E.dada at 10:21, 22 September 2026

2026-09-22T10:21:13Z

← Older revision		Revision as of 11:21, 22 September 2026
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	<math>T_j^+=T_j^-,\qquad P_j^+=P_j^-.</math>		<math>T_j^+=T_j^-,\qquad P_j^+=P_j^-.</math>

	~~<div class="mw-translate-fuzzy">~~		L’événement modifie uniquement le débit hydraulique admissible sur la liaison du clapet ; l'état thermodynamique reste continu.

	~~L'événement ne crée qu'un changement de topologie~~ hydraulique ~~et de système d~~'~~équations actif~~.
	~~</div>~~

E.dada: Created page with " $\dot U_{\mathrm{tot}} =\dot Q_i+\dot Q_o -P_S\dot V_S-P_L\dot V_L .$ "

2026-09-22T10:20:25Z

Created page with "<math> \dot U_{\mathrm{tot}} =\dot Q_i+\dot Q_o -P_S\dot V_S-P_L\dot V_L .</math>"

← Older revision		Revision as of 11:20, 22 September 2026
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	<math>\dot U_S=-P_S\dot V_S-\dot H_{Si}+\dot H_{oS},</math>		<math>\dot U_S=-P_S\dot V_S-\dot H_{Si}+\dot H_{oS},</math>

	~~<div lang="en" dir="ltr" class="mw-content-ltr">~~
	<math>\dot U_L=-P_L\dot V_L+\dot H_{iL}-\dot H_{Lo},</math>		<math>\dot U_L=-P_L\dot V_L+\dot H_{iL}-\dot H_{Lo},</math>
	~~</div>~~

	~~<div lang="en" dir="ltr" class="mw-content-ltr">~~
	<math>\dot U_i=\dot H_{Si}-\dot H_{iL}+\dot Q_i,</math>		<math>\dot U_i=\dot H_{Si}-\dot H_{iL}+\dot Q_i,</math>
	~~</div>~~

	~~<div lang="en" dir="ltr" class="mw-content-ltr">~~
	<math>\dot U_o=\dot H_{Lo}-\dot H_{oS}+\dot Q_o.</math>		<math>\dot U_o=\dot H_{Lo}-\dot H_{oS}+\dot Q_o.</math>
	~~</div>~~


	~~<div lang="en" dir="ltr" class="mw-content-ltr">~~		Tous les flux d'enthalpie internes s'annulent exactement lorsque les quatre bilans sont additionnés :
	~~All internal enthalpy fluxes cancel exactly when the four balances are summed~~:
	~~</div>~~

	~~<div lang="en" dir="ltr" class="mw-content-ltr">~~
	<math>		<math>
	\dot U_{\mathrm{tot}}		\dot U_{\mathrm{tot}}
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	-P_S\dot V_S-P_L\dot V_L		-P_S\dot V_S-P_L\dot V_L
	.</math>		.</math>
	~~</div>~~


	~~<div lang="en" dir="ltr" class="mw-content-ltr">~~		Intégré sur une période :
	~~Integrated over a periodic cycle~~:
	~~</div>~~

	~~<div lang="en" dir="ltr" class="mw-content-ltr">~~
	<math>Q_i+Q_o=W_{\mathrm{cycle}}.</math>		<math>Q_i+Q_o=W_{\mathrm{cycle}}.</math>
	~~</div>~~

E.dada: Created page with "En utilisant les flux d'enthalpie signés définis au §6 :"

2026-09-22T10:19:31Z

Created page with "En utilisant les flux d'enthalpie signés définis au §6 :"

← Older revision		Revision as of 11:19, 22 September 2026
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	=== A.8 Test énergétique global ===		=== A.8 Test énergétique global ===

	~~<div lang="en" dir="ltr" class="mw-content-ltr">~~		En utilisant les flux d'enthalpie signés définis au §6 :
	~~Using the signed enthalpy fluxes defined in §6~~:
	~~</div>~~

	~~<div lang="en" dir="ltr" class="mw-content-ltr">~~
	<math>\dot U_S=-P_S\dot V_S-\dot H_{Si}+\dot H_{oS},</math>		<math>\dot U_S=-P_S\dot V_S-\dot H_{Si}+\dot H_{oS},</math>
	~~</div>~~

	<div lang="en" dir="ltr" class="mw-content-ltr">		<div lang="en" dir="ltr" class="mw-content-ltr">

E.dada: Created page with "=== A.8 Test énergétique global ==="

2026-09-22T10:19:15Z

Created page with "=== A.8 Test énergétique global ==="

← Older revision		Revision as of 11:19, 22 September 2026
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	~~<div lang="en" dir="ltr" class="mw-content-ltr">~~		Ce résultat est indépendant de la phase active, du sens d'écoulement sur les liaisons bidirectionnelles, et de la position des deux clapets.
	~~This result is independent of the~~ active ~~phase~~, ~~the flow directions on bidirectional links~~, ~~and the positions of the two check valves~~.
	~~</div>~~


	<~~div lang~~="~~en" dir="ltr" class="mw-content-ltr~~">		<span id="A.8_Global_energy_test"></span>
	=== A.8 ~~Global energy test~~ ===		=== A.8 Test énergétique global ===
	~~</div>~~

	<div lang="en" dir="ltr" class="mw-content-ltr">		<div lang="en" dir="ltr" class="mw-content-ltr">

E.dada: Created page with " $\dot M_{\mathrm{tot}}=0.$ "

2026-09-22T10:18:37Z

Created page with "<math>\dot M_{\mathrm{tot}}=0.</math>"

← Older revision		Revision as of 11:18, 22 September 2026
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	~~<div lang="en" dir="ltr" class="mw-content-ltr">~~		La somme des quatre équations annule exactement tout flux de masse interne :
	~~Summing the four equations cancels every internal mass flow exactly~~:
	~~</div>~~

	~~<div lang="en" dir="ltr" class="mw-content-ltr">~~
	<math>\dot M_{\mathrm{tot}}=0.</math>		<math>\dot M_{\mathrm{tot}}=0.</math>
	~~</div>~~

E.dada: Created page with " $\dot m_S=-\dot m_{Si}+\dot m_{oS},$ "

2026-09-22T10:18:26Z

Created page with "<math>\dot m_S=-\dot m_{Si}+\dot m_{oS},</math>"

← Older revision		Revision as of 11:18, 22 September 2026
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	=== A.7 Test de masse global ===		=== A.7 Test de masse global ===

	~~<div lang="en" dir="ltr" class="mw-content-ltr">~~		Utilisation des flux signés définis au §6 :
	~~Using the signed link flows defined in §6~~:
	~~</div>~~

	~~<div lang="en" dir="ltr" class="mw-content-ltr">~~
	<math>\dot m_S=-\dot m_{Si}+\dot m_{oS},</math>		<math>\dot m_S=-\dot m_{Si}+\dot m_{oS},</math>
	~~</div>~~

	~~<div lang="en" dir="ltr" class="mw-content-ltr">~~
	<math>\dot m_L=\dot m_{iL}-\dot m_{Lo},</math>		<math>\dot m_L=\dot m_{iL}-\dot m_{Lo},</math>
	~~</div>~~

	~~<div lang="en" dir="ltr" class="mw-content-ltr">~~
	<math>\dot m_i=\dot m_{Si}-\dot m_{iL},</math>		<math>\dot m_i=\dot m_{Si}-\dot m_{iL},</math>
	~~</div>~~

	~~<div lang="en" dir="ltr" class="mw-content-ltr">~~
	<math>\dot m_o=\dot m_{Lo}-\dot m_{oS}.</math>		<math>\dot m_o=\dot m_{Lo}-\dot m_{oS}.</math>
	~~</div>~~

E.dada: Created page with "=== A.7 Test de masse global ==="

2026-09-22T10:17:43Z

Created page with "=== A.7 Test de masse global ==="

← Older revision		Revision as of 11:17, 22 September 2026
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	* si <math display="inline">T_{\mathrm{in}}=T</math> et <math display="inline">\dot m_{\mathrm{in}}=\dot m_{\mathrm{out}}</math>, la contribution nette du débit à <math display="inline">\dot T</math> s'annule.		* si <math display="inline">T_{\mathrm{in}}=T</math> et <math display="inline">\dot m_{\mathrm{in}}=\dot m_{\mathrm{out}}</math>, la contribution nette du débit à <math display="inline">\dot T</math> s'annule.

	<~~div lang~~="~~en" dir="ltr" class="mw-content-ltr~~">		<span id="A.7_Global_mass_test"></span>
	=== A.7 ~~Global mass test~~ ===		=== A.7 Test de masse global ===
	~~</div>~~

	<div lang="en" dir="ltr" class="mw-content-ltr">		<div lang="en" dir="ltr" class="mw-content-ltr">

E.dada: Created page with " $\dot m_{\mathrm{pair}}=\dot m_{\mathrm{ext}}.$ "

2026-09-22T10:17:35Z

Created page with "<math>\dot m_{\mathrm{pair}}=\dot m_{\mathrm{ext}}.</math>"

← Older revision		Revision as of 11:17, 22 September 2026
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	Dans les deux cas :		Dans les deux cas :

	~~<div lang="en" dir="ltr" class="mw-content-ltr">~~
	<math>\dot m_{\mathrm{pair}}=\dot m_{\mathrm{ext}}.</math>		<math>\dot m_{\mathrm{pair}}=\dot m_{\mathrm{ext}}.</math>
	~~</div>~~

	<span id="A.5_Analytical_solution_for_the_adiabatic_donor_cylinder"></span>		<span id="A.5_Analytical_solution_for_the_adiabatic_donor_cylinder"></span>

E.dada at 10:17, 22 September 2026

2026-09-22T10:17:30Z

← Older revision		Revision as of 11:17, 22 September 2026
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	\dot m_{HX}=\dot m_{\mathrm{ext}}+\dot m_{\mathrm{int}}.</math>		\dot m_{HX}=\dot m_{\mathrm{ext}}+\dot m_{\mathrm{int}}.</math>

	~~<div class="mw-translate-fuzzy">~~		Dans les deux cas :
	~~<math>\dot m_{\mathrm{pair}}=\dot m_{\mathrm{ext}}.</math>~~
	~~</div>~~

	<div lang="en" dir="ltr" class="mw-content-ltr">		<div lang="en" dir="ltr" class="mw-content-ltr">