/EOS/NASG Block Format Keyword Describes the NASG (Noble-Abel-Stiffened-Gas) equation of state. Format (1) (2) (3) (4) (5) (6) (7) (8) (9) (10) /EOS/NASG/mat_ID/unit_ID eos_title b γ P∞ MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbwvMCKf MBHbqefqvATv2CG4uz3bIuV1wyUbqedmvETj2BSbqefm0B1jxALjhi ov2DaebbnrfifHhDYfgasaacH8srps0lbbf9q8WrFfeuY=Hhbbf9v8 qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9 q8qqQ8frFve9Fve9Ff0dmeaacaGacmGadaWaaiqacaabaiaafaaake aacaWGqbGaeyOhIukaaa@3B1D@ q Psh P0 Cv Definition Field Contents SI Unit Example mat_ID Material identifier.(Integer, maximum 10 digits) unit_ID Unit identifier.(Integer, maximum 10 digits) eos_title EOS title.(Character, maximum 100 characters) b Covolume.(Real) [ m 3 kg ] MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbbG8FasPYRqj0=yi0dXdbba9pGe9xq=JbbG8A8frFve9 Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaadaWadaqaam aalaaabaGaaiyBamaaCaaaleqabaGaai4maaaaaOqaaiaacUgacaGG NbaaaaGaay5waiaaw2faaaaa@3C19@ γ Heat capacity ratio γ = C p C v MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbbG8FasPYRqj0=yi0dXdbba9pGe9xq=JbbG8A8frFve9 Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaaqaaaaaaaaa Wdbiabeo7aNjabg2da9maalaaapaqaa8qacaWGdbWdamaaBaaaleaa peGaamiCaaWdaeqaaaGcbaWdbiaadoeapaWaaSbaaSqaa8qacaWG2b aapaqabaaaaaaa@3DA9@ .(Real) P ∞ MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbwvMCKf MBHbqefqvATv2CG4uz3bIuV1wyUbqedmvETj2BSbqefm0B1jxALjhi ov2DaebbnrfifHhDYfgasaacH8srps0lbbf9q8WrFfeuY=Hhbbf9v8 qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9 q8qqQ8frFve9Fve9Ff0dmeaacaGacmGadaWaaiqacaabaiaafaaake aacaWGqbGaeyOhIukaaa@3B1D@ Stiffness parameter.(Real) [ Pa ] q Heat bond.(Real) [ J kg ] MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbbG8FasPYRqj0=yi0dXdbba9pGe9xq=JbbG8A8frFve9 Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaadaWadaqaam aalaaabaGaaeOsaaqaaiaabUgacaqGNbaaaaGaay5waiaaw2faaaaa @3B05@ Psh Pressure shift.(Real) [ Pa ] P0 Initial pressure.(Real) [ Pa ] Cv Heat capacity at constant volume.(Real) [ J kg⋅K ] MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeaaciGaaiaabeqaamaabaabaaGcbaWaamWaaeaada WcaaqaaiaabQeaaeaacaqGRbGaae4zaiabgwSixlaabUeaaaaacaGL BbGaayzxaaaaaa@3DB3@ Example (Water) #---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----| /UNIT/1 unit for mat kg m s #---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----| /MAT/HYDRO/7/1 WATER # RHO_I RHO_0 957.74 0 # NU PMIN 0 0 /EOS/NASG/7/1 Noble-Abel-Stiffened-Gas EoS for WATER (O.Le Metayer, R.Saurel) # b GAMMA PSTAR Q 6.61E-4 1.19 7028.00E+5 -1177788 # Psh P0 Cv 0.0 1.0453E5 3610 #---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----| #enddata Comments NASG EOS (Noble-Abel-Stiffened-Gas equation of state) is based on the Stiffened-Gas and Noble-Abel equation of states. ( P + P ∞ ) ( v − b ) = ( γ − 1 ) C v T MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbbG8FasPYRqj0=yi0dXdbba9pGe9xq=JbbG8A8frFve9 Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaaqaaaaaaaaa WdbmaabmaabaGaamiuaiabgUcaRiaadcfadaWgaaWcbaGaeyOhIuka beaaaOGaayjkaiaawMcaamaabmaapaqaa8qacaWG2bGaeyOeI0Iaam OyaaGaayjkaiaawMcaaiabg2da9maabmaabaGaeq4SdCMaeyOeI0Ia aGymaaGaayjkaiaawMcaaiaadoeadaWgaaWcbaGaamODaaqabaGcca WGubaaaa@4962@ Where, v MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbbG8FasPYRqj0=yi0dXdbba9pGe9xq=JbbG8A8frFve9 Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaaqaaaaaaaaa WdbiaadAhaaaa@377A@ Specific volume b MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbbG8FasPYRqj0=yi0dXdbba9pGe9xq=JbbG8A8frFve9 Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaaqaaaaaaaaa Wdbiaadkgaaaa@3766@ Co-volume C v MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbbG8FasPYRqj0=yi0dXdbba9pGe9xq=JbbG8A8frFve9 Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaaqaaaaaaaaa WdbiaadoeadaWgaaWcbaGaamODaaqabaaaaa@386E@ Heat capacity at constant volume T MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbbG8FasPYRqj0=yi0dXdbba9pGe9xq=JbbG8A8frFve9 Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaaqaaaaaaaaa Wdbiaadkgaaaa@3766@ Temperature γ = C p C v MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbbG8FasPYRqj0=yi0dXdbba9pGe9xq=JbbG8A8frFve9 Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaaqaaaaaaaaa Wdbiabeo7aNjabg2da9maalaaapaqaa8qacaWGdbWdamaaBaaaleaa peGaamiCaaWdaeqaaaGcbaWdbiaadoeapaWaaSbaaSqaa8qacaWG2b aapaqabaaaaaaa@3DA9@ This EOS summarizes in a simple formulation two main molecular effect: Agitation Attractive/Repulsive effects The previous form P = P ( v , T ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbbG8FasPYRqj0=yi0dXdbba9pGe9xq=JbbG8A8frFve9 Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaaqaaaaaaaaa WdbiaadcfacqGH9aqpciGGqbWaaeWaa8aabaWdbiaadAhacaGGSaGa amivaaGaayjkaiaawMcaaaaa@3D5C@ can be written in P = P ( μ , E ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbbG8FasPYRqj0=yi0dXdbba9pGe9xq=JbbG8A8frFve9 Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaaqaaaaaaaaa WdbiaadcfacqGH9aqpciGGqbWaaeWaa8aabaWdbiabeY7aTjaacYca caWGfbaacaGLOaGaayzkaaaaaa@3E08@ form.Where, µ = ρ ρ 0 − 1 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbbG8FasPYRqj0=yi0dXdbba9pGe9xq=JbbG8A8frFve9 Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaaqaaaaaaaaa WdbiaadwlacqGH9aqpdaWcaaWdaeaapeGaeqyWdihapaqaa8qacqaH bpGCpaWaaSbaaSqaa8qacaaIWaaapaqabaaaaOWdbiabgkHiTiaaig daaaa@3F63@ ; E = E i n t V 0 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbbG8FasPYRqj0=yi0dXdbba9pGe9xq=JbbG8A8frFve9 Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaaqaaaaaaaaa WdbiaadweacqGH9aqpdaWcaaWdaeaapeGaamyra8aadaWgaaWcbaWd biaadMgacaWGUbGaamiDaaWdaeqaaaGcbaWdbiaadAfapaWaaSbaaS qaa8qacaaIWaaapaqabaaaaaaa@3E85@ .This gives P ( μ , E ) = ( γ − 1 ) ( 1 + μ ) ( E − ρ 0 q ) 1 − b ρ 0 ( 1 + μ ) − γ P ∞ MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbbG8FasPYRqj0=yi0dXdbba9pGe9xq=JbbG8A8frFve9 Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaaqaaaaaaaaa WdbiGaccfadaqadaWdaeaapeGaeqiVd0MaaiilaiaadweaaiaawIca caGLPaaacqGH9aqpdaWcaaWdaeaapeWaaeWaa8aabaWdbiabeo7aNj abgkHiTiaaigdaaiaawIcacaGLPaaadaqadaWdaeaapeGaaGymaiab gUcaRiabeY7aTbGaayjkaiaawMcaamaabmaabaGaamyraiabgkHiTi abeg8aYnaaBaaaleaacaaIWaaabeaakiaadghaaiaawIcacaGLPaaa a8aabaWdbiaaigdacqGHsislcaWGIbGaeqyWdi3damaaBaaaleaape GaaGimaaWdaeqaaOWdbmaabmaapaqaa8qacaaIXaGaey4kaSIaeqiV d0gacaGLOaGaayzkaaaaaiabgkHiTiabeo7aNjaadcfadaWgaaWcba GaeyOhIukabeaaaaa@5DD7@ Some comparisons with other EOS: Noble-Able NASG Stiffened-Gas P ( v , T ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbbG8FasPYRqj0=yi0dXdbba9pGe9xq=JbbG8A8frFve9 Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaaqaaaaaaaaa WdbiGaccfadaqadaWdaeaapeGaamODaiaacYcacaWGubaacaGLOaGa ayzkaaaaaa@3B81@ P ( v − b ) = R T MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbbG8FasPYRqj0=yi0dXdbba9pGe9xq=JbbG8A8frFve9 Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaaqaaaaaaaaa WdbiaadcfadaqadaWdaeaapeGaamODaiabgkHiTiaadkgaaiaawIca caGLPaaacqGH9aqpcaWGsbGaamivaaaa@3E81@ ( P + P ∞ ) ( v − b ) = ( γ − 1 ) C v T MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbbG8FasPYRqj0=yi0dXdbba9pGe9xq=JbbG8A8frFve9 Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaaqaaaaaaaaa WdbmaabmaabaGaamiuaiabgUcaRiaadcfadaWgaaWcbaGaeyOhIuka beaaaOGaayjkaiaawMcaamaabmaapaqaa8qacaWG2bGaeyOeI0Iaam OyaaGaayjkaiaawMcaaiabg2da9maabmaabaGaeq4SdCMaeyOeI0Ia aGymaaGaayjkaiaawMcaaiaadoeadaWgaaWcbaGaamODaaqabaGcca WGubaaaa@4962@ ( P + P ∞ ) v = ( γ − 1 ) C v T MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbbG8FasPYRqj0=yi0dXdbba9pGe9xq=JbbG8A8frFve9 Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaaqaaaaaaaaa WdbmaabmaabaGaamiuaiabgUcaRiaadcfadaWgaaWcbaGaeyOhIuka beaaaOGaayjkaiaawMcaaiaadAhacqGH9aqpdaqadaqaaiabeo7aNj abgkHiTiaaigdaaiaawIcacaGLPaaacaWGdbWaaSbaaSqaaiaadAha aeqaaOGaamivaaaa@45E6@ P ( μ , E ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbbG8FasPYRqj0=yi0dXdbba9pGe9xq=JbbG8A8frFve9 Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaaqaaaaaaaaa WdbiGaccfadaqadaWdaeaapeGaeqiVd0MaaiilaiaadweaaiaawIca caGLPaaaaaa@3C2D@ P = ( γ − 1 ) ( 1 + μ ) E 1 − b ρ 0 ( 1 + μ ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbbG8FasPYRqj0=yi0dXdbba9pGe9xq=JbbG8A8frFve9 Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaaqaaaaaaaaa WdbiaadcfacqGH9aqpdaWcaaWdaeaapeWaaeWaa8aabaWdbiabeo7a NjabgkHiTiaaigdaaiaawIcacaGLPaaadaqadaWdaeaapeGaaGymai abgUcaRiabeY7aTbGaayjkaiaawMcaaiaadweaa8aabaWdbiaaigda cqGHsislcaWGIbGaeqyWdi3damaaBaaaleaapeGaaGimaaWdaeqaaO Wdbmaabmaapaqaa8qacaaIXaGaey4kaSIaeqiVd0gacaGLOaGaayzk aaaaaaaa@4DDC@ P = E − ρ 0 q 1 1 + µ − ρ 0 b ( γ − 1 ) − γ P ∞ MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbbG8FasPYRqj0=yi0dXdbba9pGe9xq=JbbG8A8frFve9 Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaaqaaaaaaaaa WdbiaadcfacqGH9aqpdaWcaaWdaeaapeGaamyraiabgkHiTiabeg8a Y9aadaWgaaWcbaWdbiaaicdaa8aabeaakiaadghaaeaapeWaaSaaae aacaaIXaaabaGaaGymaiabgUcaRiaadwlaaaGaeyOeI0IaeqyWdi3d amaaBaaaleaapeGaaGimaaWdaeqaaOWdbiaadkgaaaWaaeWaa8aaba Wdbiabeo7aNjabgkHiTiaaigdaaiaawIcacaGLPaaacqGHsislcqaH ZoWzcaWGqbWaaSbaaSqaaiabg6HiLcqabaaaaa@5084@ P = ( γ − 1 ) ( 1 + μ ) E − γ P ∞ MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbbG8FasPYRqj0=yi0dXdbba9pGe9xq=JbbG8A8frFve9 Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaaqaaaaaaaaa WdbiaadcfacqGH9aqpdaqadaWdaeaapeGaeq4SdCMaeyOeI0IaaGym aaGaayjkaiaawMcaamaabmaapaqaa8qacaaIXaGaey4kaSIaeqiVd0 gacaGLOaGaayzkaaGaamyraiabgkHiTiabeo7aNjaadcfadaWgaaWc baGaeyOhIukabeaaaaa@481C@ c 0 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbbG8FasPYRqj0=yi0dXdbba9pGe9xq=JbbG8A8frFve9 Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaaqaaaaaaaaa WdbiaadogadaWgaaWcbaGaaGimaaqabaaaaa@384D@ c 0 = γ P ( 1 − b ρ ) ρ MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbbG8FasPYRqj0=yi0dXdbba9pGe9xq=JbbG8A8frFve9 Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaaqaaaaaaaaa WdbiaadogadaWgaaWcbaGaaGimaaqabaGccqGH9aqpdaGcaaWdaeaa peWaaSaaa8aabaWdbiabeo7aNjaadcfaa8aabaWdbmaabmaapaqaa8 qacaaIXaGaeyOeI0IaamOyaiabeg8aYbGaayjkaiaawMcaaiabeg8a YbaaaSqabaaaaa@4418@ c 0 = γ ( P + P ∞ ) ( 1 − b ρ ) ρ MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbbG8FasPYRqj0=yi0dXdbba9pGe9xq=JbbG8A8frFve9 Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaaqaaaaaaaaa WdbiaadogadaWgaaWcbaGaaGimaaqabaGccqGH9aqpdaGcaaWdaeaa peWaaSaaa8aabaWdbiabeo7aNnaabmaabaGaamiuaiabgUcaRiaadc fadaWgaaWcbaGaeyOhIukabeaaaOGaayjkaiaawMcaaaWdaeaapeWa aeWaa8aabaWdbiaaigdacqGHsislcaWGIbGaeqyWdihacaGLOaGaay zkaaGaeqyWdihaaaWcbeaaaaa@48FF@ c 0 = γ ( P + P ∞ ) ρ MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbbG8FasPYRqj0=yi0dXdbba9pGe9xq=JbbG8A8frFve9 Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaaqaaaaaaaaa WdbiaadogadaWgaaWcbaGaaGimaaqabaGccqGH9aqpdaGcaaWdaeaa peWaaSaaa8aabaWdbiabeo7aNnaabmaabaGaamiuaiabgUcaRiaadc fadaWgaaWcbaGaeyOhIukabeaaaOGaayjkaiaawMcaaaWdaeaapeGa eqyWdihaaaWcbeaaaaa@4308@ E 0 | P = P 0 , ρ = ρ 0 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbbG8FasPYRqj0=yi0dXdbba9pGe9xq=JbbG8A8frFve9 Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaaqaaaaaaaaa WdbmaaeiaabaGaamyramaaBaaaleaacaaIWaaabeaaaOGaayjcSdWa aSbaaSqaaiaadcfacqGH9aqpcaWGqbWaaSbaaWqaaiaaicdaaeqaaS Gaaiilaiabeg8aYjabg2da9iabeg8aYnaaBaaameaacaaIWaaabeaa aSqabaaaaa@43C5@ P 0 ( 1 − b ρ 0 ) γ − 1 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbbG8FasPYRqj0=yi0dXdbba9pGe9xq=JbbG8A8frFve9 Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaaqaaaaaaaaa Wdbmaalaaapaqaa8qacaWGqbWdamaaBaaaleaapeGaaGimaaWdaeqa aOWdbmaabmaapaqaa8qacaaIXaGaeyOeI0IaamOyaiabeg8aY9aada WgaaWcbaWdbiaaicdaa8aabeaaaOWdbiaawIcacaGLPaaaa8aabaWd biabeo7aNjabgkHiTiaaigdaaaaaaa@4344@ ( P 0 + γ P ∞ ) ( 1 − b ρ 0 ) γ − 1 + q ρ 0 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbbG8FasPYRqj0=yi0dXdbba9pGe9xq=JbbG8A8frFve9 Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaaqaaaaaaaaa Wdbmaalaaapaqaa8qadaqadaqaaiaadcfapaWaaSbaaSqaa8qacaaI WaaapaqabaGccqGHRaWkcqaHZoWzcaWGqbWaaSbaaSqaaiabg6HiLc qabaaak8qacaGLOaGaayzkaaWaaeWaa8aabaWdbiaaigdacqGHsisl caWGIbGaeqyWdi3damaaBaaaleaapeGaaGimaaWdaeqaaaGcpeGaay jkaiaawMcaaaWdaeaapeGaeq4SdCMaeyOeI0IaaGymaaaacqGHRaWk caWGXbGaeqyWdi3damaaBaaaleaapeGaaGimaaWdaeqaaaaa@4E7E@ ( P 0 + γ P ∞ ) γ − 1 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbbG8FasPYRqj0=yi0dXdbba9pGe9xq=JbbG8A8frFve9 Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaaqaaaaaaaaa Wdbmaalaaapaqaa8qadaqadaqaaiaadcfapaWaaSbaaSqaa8qacaaI WaaapaqabaGccqGHRaWkcqaHZoWzcaWGqbWaaSbaaSqaaiabg6HiLc qabaaak8qacaGLOaGaayzkaaaapaqaa8qacqaHZoWzcqGHsislcaaI Xaaaaaaa@42AD@ The Initial State is calculated from the input parameters: T 0 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGubWaaS baaSqaaiaaicdaaeqaaaaa@3927@ from v ( P , T ) = ( γ - 1 ) C v T P + P ∞ + b MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWG2bWaae WaaeaacaWGqbGaaiilaiaadsfaaiaawIcacaGLPaaacqGH9aqpdaWc aaqaamaabmaabaGaeq4SdCMaaeylaiaaigdaaiaawIcacaGLPaaaca WGdbWaaSbaaSqaaiaadAhaaeqaaOGaamivaaqaaiaadcfacqGHRaWk caWGqbWaaSbaaSqaaiabg6HiLcqabaaaaOGaey4kaSIaamOyaaaa@4AC9@ Where, P = P 0 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGqbGaey ypa0JaamiuamaaBaaaleaacaaIWaaabeaaaaa@3AFE@ T = T 0 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGubGaey ypa0JaamivamaaBaaaleaacaaIWaaabeaaaaa@3B06@ E 0 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGubWaaS baaSqaaiaaicdaaeqaaaaa@3927@ from e ( P , T ) = P + γ P ∞ γ − 1 ( v − b ) + q MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGLbWaae WaaeaacaWGqbGaaiilaiaadsfaaiaawIcacaGLPaaacqGH9aqpdaWc aaqaaiaadcfacqGHRaWkcqaHZoWzcaWGqbWaaSbaaSqaaiabg6HiLc qabaaakeaacqaHZoWzcqGHsislcaaIXaaaamaabmaabaGaamODaiab gkHiTiaadkgaaiaawIcacaGLPaaacqGHRaWkcaWGXbaaaa@4CA8@ Where, P = P 0 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGqbGaey ypa0JaamiuamaaBaaaleaacaaIWaaabeaaaaa@3AFE@ v = 1 ρ 0 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWG2bGaey ypa0ZaaSaaaeaacaaIXaaabaGaeqyWdi3aaSbaaSqaaiaaicdaaeqa aaaaaaa@3CDA@ E ( P , T ) = ρ 0 e ( P , T ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamyraiaacI cacaWGqbGaaiilaiaadsfacaGGPaGaeyypa0JaeqyWdi3aaSbaaSqa aiaaicdaaeqaaOGaamyzaiaacIcacaWGqbGaaiilaiaadsfacaGGPa aaaa@42CF@ Enthalpy can be calculated from: h ( P , T ) = γ C v T + b P + q ∞ MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGObWaae WaaeaacaWGqbGaaiilaiaadsfaaiaawIcacaGLPaaacqGH9aqpcqaH ZoWzcaWGdbWaaSbaaSqaaiaadAhaaeqaaOGaamivaiabgUcaRiaadk gacaWGqbGaey4kaSIaamyCamaaBaaaleaacqGHEisPaeqaaaaa@47CE@ The P ∞ MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbwvMCKf MBHbqefqvATv2CG4uz3bIuV1wyUbqedmvETj2BSbqefm0B1jxALjhi ov2DaebbnrfifHhDYfgasaacH8srps0lbbf9q8WrFfeuY=Hhbbf9v8 qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9 q8qqQ8frFve9Fve9Ff0dmeaacaGacmGadaWaaiqacaabaiaafaaake aacaWGqbGaeyOhIukaaa@3B1D@ parameter can be calculated with: P ∞ = ρ 0 c 0 2 ( 1 − b ρ 0 ) γ − P 0 MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamiuamaaBa aaleaacqGHEisPaeqaaOGaeyypa0ZaaSaaaeaacqaHbpGCdaWgaaWc baGaaGimaaqabaGccaWGJbWaaSbaaSqaaiaaicdaaeqaaOWaaWbaaS qabeaacaaIYaaaaOWaaeWaaeaacaaIXaGaeyOeI0IaamOyaiabeg8a YnaaBaaaleaacaaIWaaabeaaaOGaayjkaiaawMcaaaqaaiabeo7aNb aacqGHsislcaWGqbWaaSbaaSqaaiaaicdaaeqaaaaa@4A1A@ Where, c MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbbG8FasPYRqj0=yi0dXdbba9pGe9xq=JbbG8A8frFve9 Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaaqaaaaaaaaa Wdbiaadkgaaaa@3766@ is the speed of sound in the material. Equations of state are used by Radioss to compute the hydrodynamic pressure and are compatible with the material laws: /MAT/LAW3 (HYDPLA) /MAT/LAW4 (HYD_JCOOK) /MAT/LAW6 (HYDRO or HYD_VISC) /MAT/LAW10 (DPRAG1) /MAT/LAW12 (3D_COMP) /MAT/LAW44 (COWPER) /MAT/LAW49 (STEINB) /MAT/LAW102 (DPRAG2) /MAT/LAW103 (HENSEL-SPITTEL) /MAT/LAW109 Table 1. Experimental Data for dodecane in kg, m, s units Liquid Phase Vapor Phase Cp 2608.0 2063.0 Cv 2393.0 2016.0 γ 1.09 1.02 P ∞ MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbwvMCKf MBHbqefqvATv2CG4uz3bIuV1wyUbqedmvETj2BSbqefm0B1jxALjhi ov2DaebbnrfifHhDYfgasaacH8srps0lbbf9q8WrFfeuY=Hhbbf9v8 qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9 q8qqQ8frFve9Fve9Ff0dmeaacaGacmGadaWaaiqacaabaiaafaaake aacaWGqbGaeyOhIukaaa@3B1D@ 1159.0e+5 0.0 b MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbbG8FasPYRqj0=yi0dXdbba9pGe9xq=JbbG8A8frFve9 Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaaqaaaaaaaaa Wdbiaadkgaaaa@3766@ 7.51e-4 0.0 q MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbbG8FasPYRqj0=yi0dXdbba9pGe9xq=JbbG8A8frFve9 Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaaqaaaaaaaaa Wdbiaadkgaaaa@3766@ −794696.0 −2685610.0 Reference state for the liquid phase: ρ 0 = 589.73 kg m 3 , P 0 = 112800 Pa, c 0 = 620.4 m s MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeqyWdi3aaS baaSqaaiaaicdaaeqaaOGaeyypa0JaaGynaiaaiIdacaaI5aGaaiOl aiaaiEdacaaIZaGaaeiiamaalaaabaGaae4AaiaabEgaaeaacaqGTb WaaWbaaSqabeaacaqGZaaaaaaakiaacYcacaqGGaGaamiuamaaBaaa leaacaaIWaaabeaakiabg2da9iaaigdacaaIXaGaaGOmaiaaiIdaca aIWaGaaGimaiaabccacaqGqbGaaeyyaiaabYcacaqGGaGaam4yamaa BaaaleaacaaIWaaabeaakiabg2da9iaaiAdacaaIYaGaaGimaiaac6 cacaaI0aGaaeiiamaalaaabaGaaeyBaaqaaiaabohaaaaaaa@57D8@ Valid temperature range: [300 - 500 K] Table 2. Experimental Data for water in kg, m, s units Liquid Phase Vapor Phase Cp 4285.0 1401.0 Cv 3610.0 955.0 γ 1.19 1.47 P ∞ MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbwvMCKf MBHbqefqvATv2CG4uz3bIuV1wyUbqedmvETj2BSbqefm0B1jxALjhi ov2DaebbnrfifHhDYfgasaacH8srps0lbbf9q8WrFfeuY=Hhbbf9v8 qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9 q8qqQ8frFve9Fve9Ff0dmeaacaGacmGadaWaaiqacaabaiaafaaake aacaWGqbGaeyOhIukaaa@3B1D@ 7028.0e+5 0.0 b MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbbG8FasPYRqj0=yi0dXdbba9pGe9xq=JbbG8A8frFve9 Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaaqaaaaaaaaa Wdbiaadkgaaaa@3766@ 6.61e-4 0.0 q MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbbG8FasPYRqj0=yi0dXdbba9pGe9xq=JbbG8A8frFve9 Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaaqaaaaaaaaa Wdbiaadkgaaaa@3766@ -1177788.0 2077616.0 Reference state for the liquid phase: ρ 0 = 957.74 kg m 3 , P 0 = 104530 Pa, c 0 = 1542 m s MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeqyWdi3aaS baaSqaaiaaicdaaeqaaOGaeyypa0JaaGyoaiaaiwdacaaI3aGaaiOl aiaaiEdacaaI0aGaaeiiamaalaaabaGaae4AaiaabEgaaeaacaqGTb WaaWbaaSqabeaacaqGZaaaaaaakiaacYcacaqGGaGaamiuamaaBaaa leaacaaIWaaabeaakiabg2da9iaaigdacaaIWaGaaGinaiaaiwdaca aIZaGaaGimaiaabccacaqGqbGaaeyyaiaabYcacaqGGaGaam4yamaa BaaaleaacaaIWaaabeaakiabg2da9iaaigdacaaI1aGaaGinaiaaik dacaqGGaWaaSaaaeaacaqGTbaabaGaae4Caaaaaaa@5727@ Validity: T in [300 - 500 K] 1 O Le Métayer, Richard Saurel, “The Noble-Abel Stiffened-Gas equation of state”, HAL Id: hal-013059742 J.R. Simoes-Moreira, ”Adiabatic evaporation waves”, Ph.D. thesis, Rensselaer Polytechnic Institute, Troy, New-York (1994)3 R. Oldenbourg, ”Properties of water and steam in SI-units”, Springer-Verlag Berlin Heidelberg, New-York (1989)