19 b ANS
The following data obtained in trial of 4 cylinder gas engine
Duration of trial = 1 hr
Revolution = 14000
No. of missed cycle = 500
Net load = 1470N
Mean eff. Pressure = 7.5 bar
Gas consumption = 20000 lit
LCV of gas supply condition = 21 KJ/liters
Cylinder Diameter = 250mm
Stroke = 450mm
Effective break circumference = 4m
Compression ratio = 6.5
Determine
1. Indicated power
2. brake power
3. mechanical effeciency
4. indicated thermal effeciency
Solution:-
NW = N = 1400 = 700 rpm
2 2
Missed cycle = 500
NW=700-500=200 rpm
to find out I.P ¿ p m L A N W = 100 * 7.5 * 0.45 * 3.14 * 0.25 * 200 =220.78 kw
2
60000 60
to find out B.P ¿ ( W −S ) π D N = 1470 * π * 4 * 400 =123.154kw
60000 60000
To find mechanical effeciency ηm ¿ B P =55.78%
IP
Indicated Thermal Efficiency ηith ¿ IP = 220.78 = 18.94%
E ne r g y i n f u el per s ec ond 0.55* 21000
17 b ANS
Given,
Mass of the air = 6 kg/min = 0.1 kg/sec
Mass of the fuel = 0.4 kg/min
Density of the fuel = 770 kg/m3
Initial Pressure P1= 1 bar
Initial Temperature T1 =290 K
Velocity of air at the throat C2 = 100 m/sec
Cda = 0.84
Cdf = 0.65
Ratio of specific heat = 1.4
Pressure drop across the fuel metering orifice is 0.85 of the pressure at the throat
We know that,
√
r−1
P2
C2 = ( 1− )
P1
2C P T 1
r
√
P 2 1.4 −1
100 = (1− )
1
2* 1005* 290
1.4
P2 = 0.941232 bar
mf actual = Cdf Af
√ 2ρ f (P1−P2)
0.4 = 0.65* Af
60 √ 2* 770* ( 1−0.941232 ) * 105
Af = 3.40 *10-6 m2
π df2 = 3.40 *10-6
4
df = 2.08 mm