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Chemical Reactions

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15.5 Adiabatic Flame Temperature<br />

Adiabatic Flame Temperature = Maximum limit of combustion<br />

gas temperature of each Air – Fuel mixture<br />

(Adiabatic Flame Temperature = Combustion Temperature)<br />

Q cv =0,W cv =0 ,∆KE=,<br />

KE=∆PE=0 :<br />

1 st law<br />

_<br />

_<br />

Qcv<br />

+ ΣNi<br />

hi<br />

= Wcv<br />

+ ΣNe<br />

he<br />

ΣN<br />

R<br />

{<br />

_<br />

o<br />

h f<br />

_<br />

ΣN<br />

i<br />

_<br />

o<br />

_<br />

h<br />

+ ( h−<br />

h )}<br />

i<br />

= ΣN<br />

R<br />

e<br />

= ΣN<br />

_<br />

h<br />

P<br />

e<br />

{<br />

_<br />

o<br />

h f<br />

To Calculate the adiabatic flame temperature, T P<br />

1. Write the combustion equation<br />

2. Apply energy balance (1 st law)<br />

3. Solving by trial-and<br />

and-error technique by assume a value of T P<br />

get values…and<br />

and<br />

substitute in (2) ….LHS = RHS ..if not try new T P<br />

….. (in good procedure we can<br />

interporate the former value to get the right value of T P<br />

_<br />

_<br />

o<br />

+ ( h−<br />

h )}<br />

P<br />

• What is your first guess of T<br />

• What should be the 2 nd trial.<br />

• How about the 3 rd , 4 th ......<br />

• When/how to interporate<br />

a<br />

b<br />

<br />

Trail and error procedure<br />

LHS - RHS = Error<br />

T<br />

T 2<br />

T c<br />

Interporation<br />

T b<br />

T a<br />

c<br />

T 2<br />

E 2<br />

T a -E a<br />

T b -E b<br />

T 2<br />

0.0<br />

T c +E c<br />

T 2 = 342 o C<br />

m i =1.263 kg<br />

-E a -E b E = 0<br />

+E c<br />

Error<br />

18

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