Simulation of M.S.F. desalination plants

Simulation of M.S.F. desalination plants

Desalination, 45 (1983) 65-76 ElsevierScience PublishersB.V.,Amsterdan-Printed in The Netherlands 65 SIMULATION OF M.S.F. DESALINATION PLANTS ADEL M...

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Desalination, 45 (1983) 65-76 ElsevierScience PublishersB.V.,Amsterdan-Printed in The Netherlands

65

SIMULATION OF M.S.F. DESALINATION PLANTS ADEL M. OMAR Chief Operations Engineer, WCC Al-Khobar Desalination Plant, P.D. Box 262, Al-Khobar (Saudi Arabia).

ABSTRACT A simulation program on the modeling of MSF desalination plants has been developed by the author (ref.1). The program can be used to accurately either design or simulate plants in actual operation. Proprietory computer programs have been originated by a number of desalination designers for their own use. A few general ones have been published (refs. 2 & 3). The paper describes the design and modeling philosophy utilized in developing the said program. A typical application on Al-Khobar (Phase-I) MSF desalination plant is briefly illustrated as an example for the use of simulation mode of the code. INTRODUCTION The analysis summarized in this paper is oriented towards developing a design code requiring a mathematical model for the MSF distillation process which is schematically illustrated in Fig. 1.

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Fig. 1.

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Schematic Diagram

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for

the

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MSF distillation process.

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66 The development of simulation program for this system requires analysis of the various components shown in the figure to obtain the desired information for the basic process streams. The system consists of N stages of which M are rejection stages and (N-M) are recovery stages, a mixing stage (N+l), a recycling pump (N+2), a splitter (N+3), feed water, brine recycle, flashing brine, blow down, distilled water and the heater (N+4) streams etc. FORMULATION OF MATHEMATICAL MODEL The desired model relationships consist of standard chemical These are: Material balances, Energy

engineering relationships.

balances, Momentum balances, Kinetic relationships, Equilibrium relationships and Control relationships (ref. 4). Typical Stage Analysis Typical stage variables and parameters are indicated on the actual stage as shown in Fig. 2. A set of mathematical relationships for each stage may be represented in a box manner

Fig. 2

as

Typical MSF Stage Variables

follows:INPUT STREAM VARIABLES

MODEL OF PROCESS STAGE b I STAGE PARAMETERS

OUTPUT STREAM VARIABLES

67 in mathematical

Input

Stream

stream

Each

stream

= f (output stream variables, stage parameters)

is defined

we have

Mass

(dependent)

variable

As shown

on several

condenser

bundle

(

A”i)

-

A’i

= Ti' - BPEi

The experimental the major

use a certain

losses

losses

losses,

(tl) can

which

cause

are the non-equilibrium

through

the demisters

boiling

point

and elevation

losses

stage

there

of four independent

twelve

independent

stage.

The basic

are three

equations

(top), the distilled stream

designers for the

for the

on the results.

will

it can be seen

streams three

each consisting

streams

variables.

be needed

to fully

leave the Therefore describe

are the tube side cooling

water

stream

(middle)

that

a

brine

and the flashing

(bottom).

The formulated which

incoming Another

streams

to account influence

and Fig.2,

of four independent

stage

to account

Equations

analysis

variables.

each consisting

used

are of prime

(ref. 5) indi-

Some MSF plant

allowance

The methods

losses

of researches

Ali.

affecting

and Subsidiary

the typical stage,

(1)

correction

(ref. 6).

Fundamental

for each

A’li from a number

temperature

thermodynamic

From

-

data

various

tities

side temperature

and the classical

parameters

various

brine

One desired

; thus:-

(BPEji

stream

vapour

thermodynamic

(i), these

stage

the pressure

stage

(T or t)OF,

(P or p)psia.

effects.

( ki),

Staqe

Temperature

for

these

(H or h) BTU/lb.

2, the stage

based

For typical

cates

where

variables:

Relationship

allowance

ti

variables

(independent)

and Pressure

is enthalpy

in Fig.

be calculated

of the basic

(M or m) lb/hr,

(C)% solid

Equilibrium

subcooling

in terms

four fundamental

flow rate

Concentration

Stage

variables

as:-

Definition

each stream are:

this can be expressed

terms;

basic

twelve

are dependent

equations

on the stage

(ref.1) include variables

some quan-

and these quanti-

ties can be expressed'by means of set of independent (subsidiary) equations.

Variables other than fundamental variables previously

defined must be specified or fixed in order to achieve consistent solution to the problem. Brine Heater Analysis Similar analysis can be done to the brine heater model (Fig. 3) (ref.1) resulting in another eight basic equations describing the brine heater and its related streams.

STAGE

(1)

BRINE

HEATER

4

CONDENSATE

mC.tC.c~,pc,hC

co.

P. Ii.

Fig. 3.

-

Brine Heater and First Stage Variables.

GENERAL SYSTEM ANALYSIS When the overall system has been synthesized into a set of mathematical relationships, the consistent solution to the design problem of the system can only be obtained if the total number of variables match the number of developed equations. Total Streams Counting the total number of streams in Figs. 1 & 2 can be summarized in Table l:-

69

Table 1 Counting Total No. of System Streams VP=

Inter-stage st*eams

0.

0

Identification

stre*ms 3(N-2)

3 streams

for

inter-stage Stage

terminals

stream 6,

Mixer

(N*l)

Pump (N*Z)

Splitter Heater

(N+3) (N+4)

7,

Total

1,

2,

12 and

nos. 9 and

stream

11 and

already

included

strellm

nos.

stream

nos.

addition

already

i.e.

nos. 10,

stream

in

Total

(N-2)

partition 3,

4,

5

13 11

4

8 14 and to

15

12 and

13

included

3N+9

Total Number of Streams

=

3N+9

(2)

Variables

Once the total number of streams is known, the number of variables can be calculated.

We have four independent variables for each stream and in addition an arbitrary chosen number of heat rejection stages (M) and total number of stages (N) as two independ-

ent variables.

Therefore:-

Total Number of Variables

=

(3N+9).(4)+2

=

12N + 38

(3)

TotalEquations Based on the desired fundamental equations for the various system components, the total number of independent equations is given in Table 2:-

70

Table 2 Counting Total No. of

0.

Component

Equations

0

comment

equations

N stages

We have 12 fundamental equations/stage

Mixer (N+l)

4

Pump (N+Z)

4

Splitter (N+3)

8

Brine heater (N+4)

8

Total

i.e.

Previously derived

ltN+24

Total no. of equations

=

12N + 24

(4)

Check for consistency Comparing equations

(3) and (4), it can be seen that the number

of variables exceeds the number of equations by fourteen.

This difference implies specification of fourteen variables to permit consistent solution of the problem.

Variables to be specified The fourteen variables to be specified are chosen based on the analysis of the system guided by Fig. 1 as follows:Feed. variables 1.

F

:

fresh sea water cooling water flow

2.

TF

:

fresh sea water inlet temperature

3. 4.

cs : PF or VF :

lb/hr OF

sea water salt concentration

% salt

sea water inlet pressure (or velocity)

psia

71 General boundary conditions D

:

plant distillate production

lb/hr

6.

CD

:

distillate production purity

% salt

7.

CR

:

(recycle concentration ratio). This fixed the overall salt balance in the system by fixing the maximum allowable salt concentration into the brine heater (CO) as

5.

CO = CS. CR and since CS is also specified, therefore CO is fixed. 8.

:

To

maximum brine temperature OF. this is bound by the total enthalpy balance for the system or the control relationship at the brine heater.

Brine heater boundary conditions 9.

:

Ts

10.

Ps

11.

cs

12.

or C

MS

C

steam temperature to brine heater

OF

:

steam pressure to brine heater

psia

:

purity of steam or condensate

% salt

:

steam flow to brine heater

lb/hr

:

heat input to brine heater (fixed by performance ratio)

BTU/hr

or 'B.H.

Number of stages 13.

M

:

number of heat rejection stages

14.

N

:

total number of stages

Thus by specifying these parameters and the additional specific variables, appearing in the subsidiary equations or needed for physical property calculation, a consistent solution can be achieved. For example, parameters such as fouling factors, tube diameter, thickness and material etc. can be arbitrarily fixed by designer.

SALINE WATER EVAPORATOR DESIGN CODE "SWEDC" The mathematical model is translated into a Fortran IV computer code "SWEDC" for the design or simulation of MSF desalination plants with the aid of an IBM 370 machine.

72 The problem solved by this code is basically the calculation of heat and mass balance in the MSF evaporator by a stage-to-stage method, in addition to the design of the process equipment.

The

design is based upon the specified basic information referred to as input parameters.

The program results or output will consist of

the various calculated process parameters including condenser surface area of the various plant sections, process pump heads, basic stream flow rates etc. information is also provided.

Comprehensive stage-by-stage process The general algorithm that is used

in the program is shown in Fig. 4.

Fig. 4

General flow process diagram for "SWEDC"

Convergence of solution is based upon a thermodynamically feasible solution.

No cost bases are involved in this study.

The

specific design information and initializing values are read in with the input data to obtain the first or approximate solution. Adjustment of variables is then made and calculations are repeated until the convergent solution is reached. The code application to various desalination plant designs showed excellent results (ref.1). The original plant specifications as contracted between purchaser and consultant were considered as

73 inputs, while the outputs were compared with the detailed design information as supplied by the desalination project contractor. SIMULATION OF ACTUAL MSF PLANTS Four actual plant designs are simulated: Al-Jubail Phase-I and Al-Khobar Phase-II which are low temp. (90°C maximum) and Al-Khobar Phase-I and Fichtner Reference Plant (ref. 6) which are high temp. (Note that Al-Khobar Phase-II has also been (12OOC maximum). specified for high temperature operation). In terms of production capacity the low temperature plants are approximately twice that of the high temperature ones, the former having a production capacity of 5 MIGD. Prediction of thermodynamic losses criteria As the original designers consider the information on thermodynamic losses particularly proprietory, to circumvent this problem the program was run for the several known correlations (ref.5), and the design obtained closest to the original chosen as most priate.

appro-

The accuracy comparison indicated that the agreement is

within 2% and is in general much better than that.

It is not

intended in this paper to discuss these simulations with their lengthy input-output details, however a typical application of the code can be shown for the simulation of Al-Khobar Phase-I Operation,

Al-Khobar Phase-I plant operation simulation From the simulation calculations for Al-Khobar Phase-I operating since 1974, it is concluded that the original plant production 2.5 MGD/Unit cannot be obtained for the following reasons:The first reason is that the difference between the actual sea water salinity (56,000 ppm) and that reported by the project consultant (50,000 ppm) limits the plant production to only 87% of the original capacity due to the accompanying limitations on the maximum brine temperature to avoid CaS04 scaling. The second reason is the influence of the design sea water temperature on the plant productivity.

A sea water temperature of 35OC (95OF) is considered more practical assumption for design purpose reflecting the updated trends in the newly built desalination plants on the Arabian Gulf shores.

It is predicted that this assumption causes a further drop in the expected production for the

74

desalination units of Al-Khobar Phase-I plant (plant designer's assumption is 29.4'C) as shown in Table 3.

Table

3

Effect of Sea Water Temperature on Production for Original Desiqn

Al-Khobar (I) Plant Original Design Conditions TSEA

TFBO -

244’F

CSEA

50.0

30.0

1 wd

PRODI

% age

GPD(U.S)

lb/hr

i

00

icTION

I

29.4

-

output

100%

85.0

865,867

2.50

86.0

858.632

2.479

99.16%

87.8

852,662

2.462

98.47%

89.6

846,736

2.445

97.80%

836,305

2.415

96.59%

830,492

2.398

95.91%

824,720

2.381

95.25%

I

The net effect of these two reasons when combined together indicates that the predicted evaporator unit production will be approximately 83.72% of the original capacity for plant operating at 56,000 ppm sea water salinity and at the severe summer condition sea water temperature of 35OC (95OF) (Table 4). Table

4

Effect of Sea Water Temperature on Production for Modified Conditions ’ Al-Khobsr (I) Modified Conditions

I

TSEA L

f

Plant

Design -I-

PRODUCTION

0,

lb/hr

85.0

767,187

86.0 87.8

1 I

GPD(U.S)

1

% age

output

2.2077

85.31%

760,415

2.1882

87.53%

755,129

2.1730

86.921

89.6

742,709

2.1373

a5.49a

91.4

737,546

2.1224

89.90%

93.2

732,419

2.1077

84.31%

95.0

727.328

2.0930

83.72%

76

These are represented in Fig. 5.

Fig.

5.

Al-Khobar-I Production as Function of Sea Water Temperature

REFERENCES A.M. Omar, 'Simulation of MSF Desalination Plants', M.Sc.Thesis, D.P.M., Dhahran, Saudi Arabia (1981). R.J. Easterday, 'FLASH : An IBM-7000 Code for Computing MSF Plant Designs for the Desalination of Sea Water', ORNL TM-124 (1965). C.T. Mothershed, 'OROSEF : A Fortran Code for Overall Design of the MSF Desalination Plant', ORNL TM-1627 (1966). K.F. Loughlin, 'Mathematical Model and Simulation of a Chemical Process' ,Lecture notes prepared for the Course on Separation Processes : Theory and Practice, presented at U.P.M. Dhahran, Saudi Arabia (1980). N. Lior, 'A Review of'Equations Used to Calculate Non-Equilibrium Allowance in Flash Evaporators', University of Pennsylvania, Mech. Eng. Dept. (1979). H.E. Homig, 'Sea Water and Sea Water Distillation', Fichtner Handbook, Vulkan Verlay, Essen (1978).

'76 RESUME Ein simulation program fiirMSF entsalzung anlagen model ist beschrieben (ref.1). Dieser program kann man benutzen sum design order simulate anlagen die sind schon in betrieb. Komputer programmen fiir eigene benutzung sind bei entsalzungsanlagen designers gemacht von dieser programme sind nur wentage veroffentlicht (refs.2 & 3). In dieser arbeit ist die design u modeling philosophy fiirdie program beschrieben. Als beispiel zum benutzung die simulation mode von code, Phase-I MSF Alkhobar (Saudi Arabia) entsalzungsanlage ist ausgewahlt.

EXTRAIT

Un programnede simulationD'une installation de dessalement"Multiflash" a ete mis au point par auteur ( Ref.1 ). Le progranmepeut etre utilise,soit pour calculer,soit pouk simulerle fonctionnement D'une installation. De nombreuxprogranmesont ete treespar les bureauxD'etudesconcevant de tellesusines,et sont leur proprietereservea leur propreusage. Quelquesun seulement,D'orpregeneral,ont ete publies (ref2 et 3) Le rapportdecrit la philosophieDu model de calculutilisedans la mise au point du progranme. Conne example,une applicationa l'usinede dessalement D'al Khobar (PhaseI) illustre/brievenent l'utilisation de la methodede simulation.