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August

2019

HYDROCARBON

ENGINEERING

45

datasheet. The reboiler duty is estimated as 42.8 MW

using the heat duty equation (considering clean tubes).

This is around 46% higher than the estimated reboiler

duty during the FEED and leads to a significant

increase in the relief load. The detailed calculation is

presented in Table 4.

The relief load using the ‘clean’ reboiler duty of

42.8 MW (154 080 000 kJ/hr), which was based on the

thermal design of the reboiler, is evaluated in Table 5.

As can be seen from Tables 2 and 5, the relief load

increased significantly, from 551 250 kg/hr to

802 500 kg/hr as the project advanced from the FEED

phase to the detailed engineering phase (depicted in

Figure 2), resulting in the requirement of one additional

PSV (Table 6) and additional piping which led to an

increase in cost from that estimated during the FEED

phase.

To illustrate how a relief load can be underestimated if

full details of the system are unknown during the FEED

stage of the project, a similar calculation (i.e. total power

failure scenario) has been performed that considers an

induced draft air-cooled condenser without automatic

louvre control. In this case, condenser duty has been taken

as 25% of normal duty (i.e. 7.2 MW) to account for natural

convection. The calculated relief load works out as

approximately 83% of the required load (Table 7).

Figure 2.

Increase in relief load from FEED to the

detailed engineering phase of a project.

Table 5.

Total power failure relief load estimate during detailed engineering phase

+

-

-

+

-

Q

u

(unbalanced

heat [kJ/hr])

Feed Bottoms Overhead Q

b

(reboiler

duty [kJ/hr])

Q

c

(condenser duty

[kJ/hr])

Mass flow (kg/hr)

0

0

0

154 080 000

0

154 080 000

Specific enthalpy (kJ/kg)

-2478 -1636

-1443

Total enthalpy (kJ/hr)

0

0

0

Latent heat of accumulation stream (kJ/kg)

192

Relief rate (kg/hr)

802 500

Table 6.

Relief valve configuration adopted

FEED phase

Detailed engineering phase

No. and size of PSVs required

8T10 (one operating and one spare)

6R8 (one operating)

8T10 (two operating and one spare)

Table 4.

Estimation of reboiler duty with clean tubes

Unit

Normal condition

Relieving condition

Cold side

Inlet temperature, t1 (˚C)

112.7

150.4

Outlet temperature, t2 (˚C)

114.3

150.4

Hot side

Inlet temperature, T1 (˚C)

145

165

Outlet temperature, T2 (˚C)

143.5

163

LMTD

(

T

1 –

t

2) – (

T

2 –

t

1)

(

T

1 –

t

2)

(

T

2 –

t

1)

ln

30.75

14.1

Clean exchanger

Overall heat transfer coefficient, U

c

(W/m

2

˚C)

3492

Fouled exchanger

Overall heat transfer coefficient, U

n

(W/m

2

˚C)

971

Clean exchanger

Heat duty, Q

c

(MW)

42.8

Fouled exchanger

Heat duty, Q

n

(MW)

23.5

(˚C)