File:C:\Personal\Class\ME410\Heywood\HW3-1.
EES 9/30/02 10:20:34 AM Page 1
EES Ver. 6.577: #659: for use by Students and Faculty of the ME Dept, Rose-Hulman
Homework Problem 3.1 in Heywood
Isooctane is supplied to a four cylinder spark ignition engine at 2.0 g/s. Calculate the air
flow rate for
stoichiometric combustion. If the engine is operating at 1500 rev/min estimate the mass
of fuel and
air entering each cylinder per cycle. The engine displaced volume is 2.4 liters. What is
the volumetric
efficiency?
Data
a = 8
b = 18
b
y =
a
mdot fuel = 0.002 [Kg/sec] mass flow rate of fuel
Vd = 0.0024 [m3] engine displacement
Vd
Vcyl = [m3] cylinder displacement
4
W = 1500 [rev/min]
fac = 2 [rev/cycle]
tf = 60 [sec/min]
Use Equation 3.6 on Page 69 to get stoichiometric AF
34.56 4 + y
AF =
12.01 +1.008 y
Air flow rate for stoichiometric combustion
mdot air
= AF
mdot fuel
Air and mass flow per cycle per cylinder
mdot fuel tf
mdot fuel,cycle = fac [Kg/cycle]
W 4
mdot air tf
mdot air,cycle = fac [Kg/cycle]
W 4
Volumetric efficiency
mdot air,cycle
v air = [m3]
'Air' , T=298, P=101.3
v air
vol =
Vcyl
File:C:\Personal\Class\ME410\Heywood\HW3-1.EES 9/30/02 10:20:35 AM Page 2
EES Ver. 6.577: #659: for use by Students and Faculty of the ME Dept, Rose-Hulman
Unit Settings: [kJ]/[K]/[kPa]/[kg]/[radians]
a =8 AF = 15.13 b = 18
vol = 0.8513 fac = 2 [rev/cycle] mdotair = 0.03025
mdotair,cycle = 0.0006051 [Kg/cycle] mdotfuel = 0.002 [Kg/sec] mdotfuel,cycle = 0.00004 [Kg/cycle]
tf = 60 [sec/min] Vcyl = 0.0006 [m3] Vd = 0.0024 [m3]
vair = 0.0005108 [m3] W = 1500 [rev/min] y = 2.25