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    INTRODUCTION

    This chapter will be discuss about material and energy balance and mechanical design of

    the equipment in Polyethylene production. The production of Polyethylene is emphasized on

    slurry process by usage of Chevron-Phillips Technology. For the material balance, it involved all

    the equipment in the technology meanwhile for energy balance and mechanical design are

    involved only four equipments that will be mention later.

    Material Balance

    A mass balance, also called a material balance, is an application ofconservation of

    mass to the analysis of physical systems. Material balances are important first step when

    designing a new process or analyzing an existing one. They are almost always prerequisite to all

    other calculations in the solution of process engineering problems. For example, mass balance

    theory is used to designchemical reactors,to analyze alternative processes to produce chemicals,

    as well as to modelpollution dispersion and other processes of physical systems. Closely related

    and complementary analysis techniques include thepopulation balance,energy balance and the

    somewhat more complexentropybalance. These techniques are required for thorough design and

    analysis of systems such as therefrigeration cycle.

    In the production of High Density Polyethylene (HDPE), the minimum production was

    230 000 MTA and the flow of the process operation need to be control in order to achieve the

    target of the operation. By accounting for material entering and leaving a system, mass flows can

    be identified which might have been unknown, or difficult to measure without this technique.

    Therefore, mass balances are used widely inengineering andenvironmental analyses.Material

    balance can be simple, at times they can be very complicated, but the basic approach is general.

    Commonly the complete equation of material balance can be performed as:

    InOut + GenerationConsumption = Build up

    http://en.wikipedia.org/wiki/Conservation_of_masshttp://en.wikipedia.org/wiki/Conservation_of_masshttp://en.wikipedia.org/wiki/Chemical_reactorhttp://en.wikipedia.org/wiki/Pollutionhttp://en.wikipedia.org/wiki/Population_balance_equationhttp://en.wikipedia.org/wiki/Energy_accountinghttp://en.wikipedia.org/wiki/Entropyhttp://en.wikipedia.org/wiki/Refrigeration_cyclehttp://en.wikipedia.org/wiki/Mass_flowhttp://en.wikipedia.org/wiki/Engineeringhttp://en.wikipedia.org/wiki/Environmental_analysishttp://en.wikipedia.org/wiki/Environmental_analysishttp://en.wikipedia.org/wiki/Engineeringhttp://en.wikipedia.org/wiki/Mass_flowhttp://en.wikipedia.org/wiki/Refrigeration_cyclehttp://en.wikipedia.org/wiki/Entropyhttp://en.wikipedia.org/wiki/Energy_accountinghttp://en.wikipedia.org/wiki/Population_balance_equationhttp://en.wikipedia.org/wiki/Pollutionhttp://en.wikipedia.org/wiki/Chemical_reactorhttp://en.wikipedia.org/wiki/Conservation_of_masshttp://en.wikipedia.org/wiki/Conservation_of_mass
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    A material balance is an accounting for material. Thus, material balances are often

    compared to the balancing of current accounts. It was used in industry to calculate mass flow

    rates of different streams entering or leaving chemical or physical processes. The general form

    quoted for a mass balance is that the mass enters a system must, by conservation of mass, either

    leave the system or accumulate within the system. Mathematically the mass balance for a system

    without a chemical reaction is stated as:

    The block diagram of the production of the High Density Polyethylene (HDPE) was

    shown in figure 1.1. The amount of the output produces similar to the amount of the input stream

    supply to the process operation condition. The calculations of material balance for High Density

    Polyethylene (HDPE) production are based on this general equation.

    Basically, there are five main equipments involved in Polyethylene material balance

    which are loop reactor, flash chamber, dryer, purge column and extruder. The production of

    Polyethylene in a year is 230,000 Tonnes per Annum where the plant is operate for 360 days.

    The rest of five days is used for plant shutdown and turnaround in the purpose of maintenance.

    The Polyethylene production was emphasized on High Density Polyethylene (HDPE) by using

    slurry-loop process. This slurry-loop process has been using Chevron-Phillips Technology which

    capable to achieve 95 to 98% conversion of ethylene into polyethylene in the process

    polymerization. This technology is very high efficiency with low cost operation as well as

    requires 30 to 60 minutes of residence time to mix in chemical reactors. Thus, the compositions

    of each component at inlet and outlet stream for those five equipments were assumed as

    mentioned in the process descriptions of Chevron-Phillips Technology.

    Input = Output + Accumulation

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    TO ETYLENE

    RECOVERY

    TO DILUENT

    RECOVERY

    PRODUCT

    Loop Reactor

    Dryer

    Vent

    Scrubber

    Heat

    Exchanger

    Distillation

    Column

    Compressor

    Flash

    Chamber

    Purge

    Column

    Extruder

    3 7

    13

    12

    8

    11

    18

    9

    3

    3

    Figure 1.1: Simplified Block Diagram of Polyethylene Production

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    Energy Balance

    Energy can exist in several forms: heat, mechanical energy, electrical energy, and it is the

    total energy that is conserved. The law of conservation of energy states that energy can neither

    be created nor destroyed. The total energy in the materials entering the processing plant, plus the

    energy added in the plant must be equal the total energy leaving the plant.In process design,

    energy balances are made to determine the energy requirements of the process: the heating,

    cooling and power required. In plant operation, an energy balance on the plant will show the

    pattern of energy usage, and suggest areas for conservation and savings. Energy takes many

    forms, such as heat, kinetic energy, chemical energy, potential energy. A system is termed open

    or closed according to whether or not mass crosses the system boundaries during the period of

    time covered by the energy balance. The derivation used for energy balance can be state as :

    Final system energy - initial system energy = net energy transferred to the system ( in

    out). Which:

    Initial system energy: UiEki- Epi

    Final system energy: UfEkfEpf

    Energy transferred: QW

    Where the subscripts i and f refer to the initial and final states of the system U, Ek, Ep, Q

    and W represent internal energy, kinetic energy, potential energy, heat transferred to the system

    from its surrounding and work done by the system on its surrounding and the equation becomes,

    U + Ek + Ep= QW

    In this chapter the fundamentals of energy balances are reviewed briefly, and examples

    given to illustrate the use of energy balances in process design. The main equipment involved in

    the calculation for energy balance of production polyethylene are reactor, distillation

    column,purge column and heat exchanger as shown in figure 1.2 for polyethylene process flow

    diagram below.

    .

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    Figure 1.2: Equipment Involved in Energy Balance and Mechanical Design

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    Mechanical Design

    The selection, specification and design of the equipment required to carry out the

    function of the process unit which the detail design of the equipment is needed. Process design

    establishes the sequence of chemical and physical operations; operating conditions; the duties,

    major specifications, and materials of construction of all process equipment. The general

    arrangement of equipment needed to ensure proper functioning of the plant; line sizes; and

    principal instrumentation. Many factors have to be considered when selecting engineering

    materials during mechanical design, but for chemical process plant the overriding consideration

    is usually the ability to resist corrosion. The process designer will be responsible for

    recommending materials that will be suitable for the process conditions. All factors must be

    consider for mechanical design in term of sizing, volume, heat transfer, pressure drop and type of

    material in the equipment used. Mechanical design is important in order to determine the suitable

    measurement for each equipment in the chemical plant before plant operating well. In this

    chapter, those aspects of the mechanical design have been discussed detailed in the calculation

    Others consideration also must be completely design to get the detail information for the

    equipment. The equipment that will be considered for mechanical design are loop reactor,

    distillation column, purge column and heat exchanger.

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    MATERIAL BALANCE

    LOOP REACTOR

    General Equation:

    nC2H4 (CH2-CH2) n

    Where n: 2

    2C2H4 (CH2-CH2) n

    C4H4 C2H4C2H4

    Presence of Hydrogen in the inlet of loop reactor (reactant), thus:

    C4H4+ H2 C2H4C2H4

    Balance the equation:

    C4H4+ 2H2 C2H4C2H4

    Stream 3 Stream 7

    A = F B= 27581.59 kg/hr

    0 kg/hr Ethylene 26202.51 kg/hr Polyethylene

    0 kg/hr Hydrogen 827.447 kg/hr Ethylene

    275.816 kg/hr Isobutane 137.908 kg/hr Hydrogen

    137.908 kg/hr 1-Hexene 275.816 kg/hr Isobutane

    137.908 kg/hr 1-Hexene

    For the comonomer and diluent chemical which are 1-hexene and isobutene have equal

    mass flowrate of inlet and outlet. This is due to the equation involved in the loop reactor are only

    ethylene and hydrogen. The rest were comonomer and diluents chemical are used just to enhance

    the process of polymerization.

    Loop Reactor

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    Table 1.1: Extend of Reaction Method for Loop Reactor

    Component 0 i= o+

    Ethylene 27029.96 -1 - 827.447= o-

    Hydrogen 52542.93 -2 -2 137.908= o- 2

    1-hexene 137.908 - - 137.908

    Isobutene 275.816 - - 275.816

    Polyethylene - +1 26202.51=

    = 26202.51

    Ethylene:

    i= o+

    827.447 = o+

    827.447 = o+ 26202.51

    o = 27029.96 kg/hr

    Hydrogen:

    i= o+

    137.908 = o - 2

    137.908 = o2(26202.51)

    137.908 = o52405.02

    o= 52542.93 kg/hr

    TOTAL(Inlet), A= 01+ 02+ 03+ 04

    = 27029.96 + 52542.93 + 137.908 + 275.816

    A= 79 986.61 kg/hr

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    FLASH CHAMBER

    The unreacted diluent (Isobutane), any monomer vapors (ethylene) and all co-monomer

    (1-hexene) recovered in flash vessel typically condensed and reused in polymerization process.

    Meanwhile hydrogen was completely used in this flash chamber. The product leave the flash

    chamber was polyethylene contain 98% purity and small excess ethylene.

    Table 6.2: Inlet and Outlet Composition of Flash Chamber

    Component Composition (weight/weight)

    Inlet Stream (No. 7) Outlet Stream (No.8) Outlet Stream (No.9)

    Ethylene 0.03 0.68 0.02

    Isobutane 0.01 0.22 -

    1-Hexene 0.005 0.10 -

    Hydrogen 0.005 - -

    Polyethylene 0.95 - 0.98

    Stream 8, T = 417.90 kg/hr

    284.17 kg/hr Ethylene

    91.94 kg/hr Isobutane

    41.79 kg/hr 1-Hexene

    Stream 7, F = 27581.59 kg/hr

    2602.51 kg/hr Polyethylene

    827.45 kg/hr Ethylene Stream 9

    275.82 kg/hr Isobutane B= 27163.69 kg/hr

    137.91 kg/hr 1-Hexene

    137.91 kg/hr hydrogen 26620.42 kg/hr Polyethylene

    543.27 kg/hr Ethylene

    Flash Chamber

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    Overall Mass Balance:

    F = T + B

    (F) = (T)+ 27163.69 kg/hr

    Species Balance of Ethylene:

    To find mass flowrate for Stream 8:

    F (0.03) = T (0.68) + 27163.69 kg/hr (0.02)

    0.03F = 0.68T + 543.274 kg/hr

    0.03 (T+27163.69) = 0.68T + 543.274 kg/hr

    0.03T + 814.910 kg/hr = 0.68T + 543.274 kg/hr

    814.910 kg/hr543.274 kg/hr = 0.68T0.03T

    271.636 kg/hr = 0.65T

    T = 417.90 kg/hr

    To find mass flowrate for Stream 7:

    Stream 7 = Stream 8 + Stream 9

    F = T + 27163.69

    F = 417.90 + 27163.69

    F = 27581.59 kg/hr

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    Inlet Mass Flowrate of Each Component (Stream 7):

    i) Polyethylene:

    = 0.95 x 27581.59 kg/hr

    = 26202.51 kg/hr

    ii) Ethylene:

    = 0.03 x 27581.59 kg/hr

    = 827.45 kg/hr

    iii) Isobutane:

    = 0.01 x 27581.59 kg/hr

    = 275.82 kg/hr

    iv) 1-Hexene:

    = 0.005 x 27581.59 kg/hr

    = 137.91 kg/hr

    v) Hydrogen:

    = 0.005 x 27581.59 kg/hr

    = 137.91 kg/hr

    Total Inlet Mass Flowrate (Stream 7):

    = 2614.01kg/hr + 827.45kg/hr + 275.82kg/hr + 137.91kg/hr + 137.91kg/hr

    = 27581.59 kg/hr

    Outlet Mass Flowrate of Each Component (Stream 8):

    i) Ethylene:

    = 0.68 x 417.90 kg/hr

    = 284.17 kg/hr

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    ii) Isobutane:

    = 0.22 x 417.90 kg/hr

    = 91.94 kg/hr

    iii) 1-Hexene:

    = 0.10 x 417.90 kg/hr

    = 41.79 kg/hr

    Total Outlet Mass Flowrate (Stream 8):

    = 284.172 kg/hr + 91.938 kg/hr + 41.79 kg/hr

    = 417.90 kg/hr

    Outlet Mass Flowrate of Each Component (Stream 9):

    i) Polyethylene:

    = 0.98 x 27163.69 kg/hr

    = 26620.42 kg/hr

    ii) Ethylene:

    = 0.02 x 27163.69 kg/hr

    = 543.27 kg/hr

    Total Outlet Mass Flowrate (Stream 9):

    = 26620.42 kg/hr + 543.27 kg/hr

    = 27163.69 kg/hr

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    DRYER

    The inlet components enter the dryer were polyethylene and excess ethylene. The

    removal of moisture content for the product occurred here which it generally will remove about

    0.2% to 0.5% moisture content by weight.

    Table 6.3: Inlet and Outlet Composition of Dryer

    Component Composition (weight/weight)

    Inlet Stream (No.9) Outlet Stream (No.17)

    Ethylene 0.02 0.02

    Polyethylene 0.98 0.98

    Overall Mass Balance:

    Since inlet stream equal to outlet stream, hence the mass flowrate of outlet component is

    equal to mass flowrate of inlet component.

    Stream 9 = Stream 17

    in = out

    Species Balance of Polyethylene:

    in(0.98) = 27163.69(0.98)

    0.98 in= 26620.42

    in= 27163.69 kg/hr

    Dryer

    26620.42 kg/hr Polyethylene

    543.27 kg/hr Ethylene

    26620.42 kg/hr Polyethylene

    543.27 kg/hr Ethylene

    Stream 9

    in = 27183.69 kg/hr

    Stream 17

    out= 27183.69 kg/hr

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    Inlet Mass Flowrate of Each Component (Stream 9):

    i) Polyethylene:

    = 0.98 27163.69

    = 26620.42 kg/hr

    ii) Ethylene:

    = 0.02 27163.69

    = 543.27 kg/hr

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    COMPRESSOR

    Component Composition (weight/weight)

    Inlet Stream (No.8) Outlet Stream (No.12)

    Top

    Outlet Stream (No.12)

    Bottom

    Ethylene 0.67 0.65 -

    Isobutane 0.22 - 0.95

    1-Hexene 0.1 0.35 0.05

    Stream 12, TopT = 398.62 kg/hr

    259.103 kg/hr Ethylene

    139.517 kg/hr 1-Hexene

    Stream 8,

    F = 417.90 kg/hr

    284.17 kg/hr Ethylene

    91.94 kg/hr Isobutane

    41.79 kg/hr 1-Hexene Stream 12, Bottom

    B =19.28 kg/hr

    18.316 kg/hr Isobutene

    0.964 kg/hr 1-hexene

    Overall Mass Balance:

    F = T + B

    417.90 = T + B

    T = 417.90B

    COMPRESSOR

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    Species Balance of Ethylene:

    284.17 = T (0.65) - B (0)

    284.17 = (417.90B) (0.65)

    284.17 = 271.640.65 B

    0.65B = 19.28

    B = 19.28 kg/hr

    To find T

    T = 417.9019.28

    T = 398.62 kg/hr

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    HEAT EXCHANGER

    Component Composition (weight/weight)

    Inlet Stream (No.12) Outlet Stream (No.13)

    Ethylene 0.65 0.99

    1-Hexene 0.35 0.01

    Overall Mass Balance:

    Stream inlet = Stream Outlet

    A= B

    Stream 13

    Ethylene: 398.62 kg/hr x 0.99

    =394.63 kg/hr

    1-hexene: 398.62 kg/hr x 0.01= 3.986 kg/hr

    Heat Exchanger

    394.63 kg/hr Ethylene

    3.986 kg/hr 1-hexene

    259.103 kg/hr Ethylene

    139.517 kg/hr 1-hexene

    Stream 12, Top

    A = 398.62 kg/hr

    Stream 13

    B = 398.62 kg/hr

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    VENT SCRUBBER

    Component Composition (weight/weight)

    Inlet Stream

    (No.13)

    Outlet Stream (Top) Outlet Stream (Bottom)

    Ethylene 0.99 1.00 -

    1-Hexene 0.01 - 1.00

    Overall Mass Balance:Stream inlet = Stream Outlet

    A = T + B

    398.62 kg/hr = T + B

    Vent Scrubber

    139.29 kg/hr ethylene

    394.63 kg/hr ethylene

    3.986 kg/hr 1-hexene

    Stream 13

    A = 398.62 kg/hr

    Top Stream

    T= kg/hr

    Kg/hr 1-hexene

    Bottom Stream

    B= kg/hr

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    Species Balance of Ethylene

    398.62 (0.99) = T (1.00) + B (0)

    T= 394.63

    394.63 = 398.62 - B

    B = 398.62394.63

    B = 3.99 kg/hr

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    DISTILLATION COLUMN

    Component Composition (weight/weight)

    Inlet Stream (No.12) Outlet Stream (Top) Outlet Stream (Bottom)

    Isobutane 0.95 - 1.00

    1-Hexene 0.05 1.00 -

    Top Product

    T = 18.316 kg/hr

    18.316 kg/hr Isobutane

    Stream 12, Bottom

    F = 19.28 kg/hr

    18.316 kg/hr Isobutane

    0.964 kg/hr 1-Hexene

    Bottom Product

    B = 0.964 kg/hr

    0.964 kg/hr1-Hexene

    Overall Mass Balance

    F = T + B

    19.28 = T + B

    Species balance of Isobutene:

    F (0.95) = T (1.00) + B (0)

    19.28 (0.95) = T

    Distillation column

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    18.316 = T

    T = 18.316 kg/hr

    To find T:

    18.316 = 19.28B

    19.2818.316 = B

    B = 0.964 kg/hr

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    PURGE COLUMN

    The product and excess ethylene leave the dryer enter the purge column for removing

    residual liquid from the polymer solids. The purge means is typically a nitrogen purge column

    through which nitrogen gas is fed to remove accumulated liquid from polymer slurry. The excess

    amount of ethylene as well as nitrogen will be recycled to purification column for further usage

    in polymerization process.

    Table 6.4: Inlet and Outlet Composition of Purge Column

    Component Composition (weight/weight)

    Inlet Stream (No.

    17)

    Inlet Stream (No.

    10)

    Outlet Stream

    (No. 18)

    Outlet Stream

    (No. 11)

    Ethylene 0.02 - 0.05 -

    Polyethylene 0.98 - - 1.00

    Nitrogen - 1.00 0.95 -

    Purge Column

    10322.21 kg/hr Nitrogen

    453.27 kg/hr Ethylene

    26620.42 kg/hr Polyethylene

    26620.42 kg/hr Polyethylene543.27 kg/hr Ethylene

    10322.21 kg/hr Nitrogen

    Stream 17, F1

    Stream 10, F2

    Stream 18, T

    Stream 11

    B= 26620.42 kg/hr

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    Overall Mass Balance:

    F1 + F2= T+B

    Species Balance of Polyethylene:

    F1 (0.98) + F2 (Polyethylene) = T (Polyethylene) + 26620.42(1.00)

    Mass flowrate for Stream 17:

    F1 (0.98) = 26620.42

    F1 = 27163.69 kg/hr

    Species Balance of Ethylene:

    To find mass flowrate for Stream 18:

    F1 (0.02) + F2 (ethylene) = T (0.05) + B (ethylene)

    27163.69 (0.02) = 0.05T

    T = 10865.48 kg/hr

    Mass flowrate for Stream 10:

    F1 + F2= T+B

    27163.69 + F2 = 10865.48 + 26620.42

    F2 = 10322.21 kg/hr

    Inlet Mass Flowrate of Each Component (Stream 17):

    i) Polyethylene:

    = 0.98 27163.69

    = 26620.42 kg/hr

    ii) Ethylene:

    = 0.02 27163.69

    = 543.27 kg/hr

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    Inlet Mass Flowrate of Each Component (Stream 10):

    i) Nitrogen:

    = 1.00 10322.21

    = 10322.21 kg/hr

    Outlet Mass Flowrate of Each Component (Stream 18):

    i) Nitrogen:

    = 0.95 10856.48

    = 10322.21kg/hr

    ii) Ethylene:

    = 0.05 10856.48

    = 543.27 kg/hr

    Outlet Mass Flowrate of Each Component (Stream 11):

    i) Polyethylene:

    = 26620.42 kg/hr

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    EXTRUDER

    The final product which is polyethylene goes to the last equipment for pelletizing.

    Extrusion process takes place where is a process used to create objects of a fixed cross-sectional

    profile. A material is pushed or drawn through a die of the desired cross-section.

    Table 6.5: Inlet and Outlet Composition of Extruder

    Component Composition (weight/weight)

    Inlet Stream (No. 11) Finishing Stream

    Polyethylene 1.00 1.00

    Stream 11 Finishing Stream

    in = 26620.42 kg/hr out =26620.42 kg/hr

    26620.42 kg/hr Polyethylene 26620.42 kg/hr Polyethylene

    Overall Mass Balance:

    Since inlet stream equal to outlet stream, hence the mass flowrate of outlet component is

    equal to mass flowrate of inlet component.

    Stream 11 = Finishing Stream

    in = out

    Inlet Mass Flowrate of Polyethylene (Stream 11):

    = 1.00 x 26620.42 kg/hr

    = 26620.42 kg/h

    Extruder