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+67.113 75.48 m 67.113 63.246 l S Q +67.113 65.359 m 68.168 66.414 l 67.113 62.719 l 66.059 66.414 l h +67.113 65.359 m f* +0.281395 w +q 0 1 -1 0 0 0 cm +65.359 -67.113 m 66.414 -68.168 l 62.719 -67.113 l 66.414 -66.059 l h +65.359 -67.113 m S Q +BT +7.5 0 0 -7.5 127.625404 108.917622 Tm +/f-0-0 1 Tf +(V1)Tj +-10.28918 0.0899399 Td +(V2)Tj +6.313814 8.904098 Td +(A)Tj +-3.723531 -3.291818 Td +(A)Tj +-5.162578 3.345782 Td +(Q1)Tj +14.246556 -2.266498 Td +(Q2)Tj +ET +0.531496 w +q 1 0 0 1 0 0 cm +61.93 79.238 m 63.973 79.238 l S Q +61.848 79.238 m 60.785 80.301 l 64.504 79.238 l 60.785 78.176 l h +61.848 79.238 m f* +0.283465 w +q -1 0 0 -1 0 0 cm +-61.848 -79.238 m -60.785 -80.301 l -64.504 -79.238 l -60.785 -78.176 l + h +-61.848 -79.238 m S Q +0.531496 w +q 1 0 0 1 0 0 cm +79.82 79.238 m 77.773 79.238 l S Q +79.902 79.238 m 80.965 78.176 l 77.242 79.238 l 80.965 80.301 l h +79.902 79.238 m f* +0.283465 w +q 1 0 0 1 0 0 cm +79.902 79.238 m 80.965 78.176 l 77.242 79.238 l 80.965 80.301 l h +79.902 79.238 m S Q +BT +7.5 0 0 -7.5 81.351065 90.030149 Tm +/f-0-0 1 Tf +[(a ; f)]TJ +0.719524 2.212534 Td +(b)Tj +-6.54766 1.9607 Td +(c)Tj +4.820804 3.291818 Td +(d)Tj +5.990028 -3.039985 Td +(e)Tj +ET +0.267712 w +[ 2.141694 2.141694] 0 d +q 1 0 0 1 0 0 cm +53.891 31.406 m 24.316 31.406 l S Q +[ 2.141694 2.141694] 0 d +q 1 0 0 1 0 0 cm +54.094 64.199 m 24.52 64.199 l S Q +BT +7.5 0 0 -7.5 13.058998 64.416842 Tm +/f-0-0 1 Tf +(p2)Tj +0.0238192 4.430376 Td +(p3)Tj +4.31128 -5.621338 Td +(2)Tj +0.0238194 6.145361 Td +(3)Tj +10.289907 -8.169995 Td +(1)Tj +0.0476379 6.121542 Td +(4)Tj +ET +Q Q showpage +%%Trailer +end %%EOF diff --git a/ThermodynamiqueOS/ThermodynamiqueOS.tex b/ThermodynamiqueOS/ThermodynamiqueOS.tex index 3d96439..9a0bdef 100644 --- a/ThermodynamiqueOS/ThermodynamiqueOS.tex +++ b/ThermodynamiqueOS/ThermodynamiqueOS.tex @@ -1168,6 +1168,12 @@ La pression reste donc constante et le volume revient à son minimum \(V_2\). \psfrag{A}{\(A\)} \psfrag{V1}{\(V_1\)} \psfrag{V2}{\(V_2\)} +\psfrag{p2}{\(p_2\)} +\psfrag{p3}{\(p_3\)} +\psfrag{1}{1} +\psfrag{2}{2} +\psfrag{3}{3} +\psfrag{4}{4} \psfrag{a ; f}{(a) ; (f)} \psfrag{b}{(b)} \psfrag{c}{(c)} @@ -1183,7 +1189,7 @@ Le cycle d'Otto est donc essentiellement constitué de deux adiabatiques et de d \[Q_{abs}=n\cdot C_V\cdot (T_3-T_2)\] Évidemment la chaleur est rejetée pendant l'échappement. De la même manière, on peut écrire~: \[Q_{rej}=n\cdot C_V\cdot (T_1-T_4)\] -La différence constitue le travail fourni par le système pendant le cycle, une partie étant produite par le gaz pendant le temps moteur et une autre absorbée par celui-ci pendant la compression. Attention, \(Q_{rej}>0\) et il faut donc soit additionner les deux chaleur pour avoir le travail qui constitue leur différence ou soustraire l'opposé de la chaleur rejetée, soit \(|Q_{rej}|=n\cdot C_V\cdot (T_4-T_1)\). On a donc~: +La différence constitue le travail fourni par le système pendant le cycle, une partie étant produite par le gaz pendant le temps moteur et une autre absorbée par celui-ci pendant la compression. Attention, \(Q_{rej}<0\) et il faut donc soit additionner les deux chaleur pour avoir le travail qui constitue leur différence ou soustraire l'opposé de la chaleur rejetée, soit \(|Q_{rej}|=n\cdot C_V\cdot (T_4-T_1)\). On a donc~: \[A=Q_{abs}-Q_{rej}=n\cdot C_V\cdot (T_3-T_2-T_4+T_1)\] Le rendement est alors~: \begin{align*}