ME 321 Spring 2018
Equation Sheet
E = U + KE + P E
Z 2
W =
F ds
(2-6)
Ė = ṁe
Desired Output
Efficiency =
Required Input
P υ = RT
(2-22)
1
y∼
(3-8)
= yf @T (for y = υ, u, h)
Ru
R=
(3-11 (a))
M
m = MN
(3-12)
Z 2
P dV
(4-2)
Wb =
Ru = 8.31447 kJ/kmol.K
1
ṁ = ρV̇ =
Q̇in + Ẇin +
V̇
υ
X
in
(3-10)
(3-11 (b))
(3-13)
cp = cV + R
X
X
ṁ
Steady flow:
ṁ =
(4-29)
(5-18)
out
in
(5-7)
X V2
V2
ṁ h +
+ gz = Q̇out + Ẇout +
ṁ h +
+ gz
2
2
out
|
{z
}
|
{z
}
Desired Output
(7-*)
Required Input
Z 2
dT ∼
T2
Liquids, Solids: s2 − s1 =
c(T )
= cavg ln
T
T1
1
(7-28)
T2
P2
s2 − s1 = cp,avg ln
− R ln
(7-34)
T1
P1
k−1
T2
υ1
=
(7-42)
T1 s = const.
υ2
k
υ1
P2
=
(7-44)
P1 s = const.
υ2
υ2
υr2
(7-50)
=
υ1 s = const. υr1
"
wcomp,in
kRT1
kR (T2 − T1 )
=
=
k−1
k−1
"
wcomp,in
nR (T2 − T1 )
nRT1
=
=
n−1
n−1
wcomp,in = RT ln
(5-36)
for each exit
δQ
T
υ2
T2
+ R ln
s2 − s1 = cV,avg ln
T1
υ1
Performance =
wa
ws
ws
ηC =
wa
qregen,act
=
qregen,max
(2-41)
P V = mRT
for each inlet
ηT =
(2-9)
dS ≥
s2 − s1 = s◦2 − s◦1 − R ln
T2
T1
P2
P1
P2
P1
(7-8)
(7-33)
(7-39)
(k−1)/k
=
const.
s = Pr2
P2
=
P1 s = const. Pr1
Z 2
wrev = −
υdP
(7-43)
(7-49)
(7-52)
1
P2
P1
(k−1)/k
P2
P1
(n−1)/n
#
−1
(for Isentropic process)
(7-57 a)
(for Polytropic process)
(7-57 b)
#
−1
P2
(for Isothermal process)
P1
h1 − h2a
h1 − h2s
h2s − h1
ηC =
h2a − h1
wpump = υ∆P
(7-60)
ηT =
(7-62)
(9-23)
1
(7-57 c)
(7-61)
(7-63)
(10-3)