where,

m = Weight of mixture in the batch.

Cp = specific heat of mixture.(2.03)

T = Temperature of steam.

t1 = initial temperature of mixture

t2 = final temperature of mixture.

U = Overall heat transfer coefficient.

A = Heat transfer surface

To find out U,

Heat transfer coefficient in a stirred reactor is given by,

where,

hi =process fluid side heat transfer coefficient.

D= Diameter of tank = 1.15 m

k = thermal conductivity of the material = 0.78 W/m2 C

Da=Diameter of impeller =0.383 m

N =speed of agitator = 135 rpm

=density of solution = 800 kg/m3

=viscosity = 15 cps

Cp =specific heat of mixture = 2.03 kJ/kg

w=viscosity of water = 1 cps

H =Height of tank = 1.38 m

= 306.42 W/m2 K

= heat transfer coefficient on the steam side = 1500 W/m2 K (assumed)

=

U = 128.59 W/m2K

Area provided by jacket for heat transfer =

= 4.93 m2

Where Hj = Height of jacket

= 0.75 H (Assuming jacket height is 75% of reactor height ) = 1.04 m

=

= 250.92 s 5 min.

Now Calculation for steam flow rate

U A (T)LM = w

Where,

TLM = 82.47 C

o

h

k

x

h

h

U

o

i

+

+

=

1

1

1

78

.

0

003

.

0

1500

1

42

.

306

1

+

+

4

15

.

1

2

D

H

D

j

+

p

p

-

-

40

120

30

120

ln

93

.

4

59

.

128

1000

03

.

2

79

.

664

D

l

13

.

0

56

.

0

14

.

0

33

.

0

66

.

0

2

85

.

0

=

-

D

D

D

H

k

C

N

D

k

D

h

a

w

p

a

i

m

m

m

m

r

(

)

13

.

0

56

.

0

14

.

0

33

.

0

66

.

0

2

15

.

1

383

.

0

15

.

1

383

.

0

15

78

.

0

0015

.

0

03

.

2

0015

.

0

800

25

.

2

383

.

0

85

.

0

78

.

0

15

.

1

=

-

i

h

i

h