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DESCRIPTION
List of Thermodynamics Fundamental formulae and Tables
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Formula Sheet
)()( 12,1212,12 TTchhTTcuu
T
hc
T
uc
avgPavgv
P
P
v
v
−=−−=−
=
=
∂∂
∂∂
Pv = RT
dS =dQ
T
int rev
dS ≥dQ
T
Incompressible substances:
Ideal gas:
Tds Relations
vdPTdsdh
PdvTdsdu
+=−=
Maxwell Relations:
∂T
∂v
S
= −∂P
∂s
v
∂T
∂P
S
=∂v
∂s
P
∂S
∂v
T
=∂P
∂T
v
∂S
∂P
T
= −∂V
∂T
P
Other useful relations:
P
P
v
v
T
s
T
c
T
s
T
c
=
=
∂∂
∂∂
;
s2 − s1 = c avg lnT2
T1
s2 − s1 = c v ,avg lnT2
T1
+ R lnv 2
v1
= cP ,avg lnT2
T1
− R lnP2
P1
ratio fuel to air tricstoichiome
ratio fuel to air actual=λ
∑∑ −==R
RfRP
PfP0 ,Hn,HnHQ ∆∆∆
constpV n =
−−
=−
−
1n
5
4
2
4454
2
V
V1
1n
VpW
−
−=
−
−
1n2
1
2221
1
1V
V1
1n
VpW
V
Wp,essurePr Effective Mean Indicated
d
ii =
bdb piVj
N2W =&
i
b
i
b
i
bm W
W
p
p
W
W&
&
===η
( )LHVm
W
f
bb
&
&
=η
334443 VpVpW −=−
1
a
s1
a
t1
T
T
P
P −
=γ
γ
, s21
a21t TT
TT
−−
=η , 1a2
1s2c TT
TT
−−=η ,
TcmQ p∆&& =
−
=−=−
1P
PTTTT
1
t1
t2
c
t1t1t212
γγ
η∆
−=−=−γ
γ
η∆1
t4t3t3tt4t334 PP
11TTTT
R1
1cc
cRcc p
v
pvp =
−==−γ
γ
Free-Convection correlation for a vertical plate: