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S. Gurulingam, A. Kalaisselvane, N. Alagumurthy / International Journal of Engineering
               Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                     Vol. 2, Issue 6, November- December 2012, pp.1650-1653
      Numerical Study of Performance Improvement of Jet Ejector
                 S. Gurulingama*, A. Kalaisselvaneb, N. Alagumurthyc
  a
     Research scholar, Department of Mechanical Engineering, Pondicherry Engineering College, Pondicherry,
                                                   INDIA
 b
   Assistant Professor, Department of Mechanical Engineering, Pondicherry Engineering College, Pondicherry,
                                                   INDIA
   c
     Professor, Department of Mechanical Engineering, Pondicherry Engineering College, Pondicherry, INDIA


Abstract
         In this paper, numerical performance            the ejector internal processes to improve the overall
analysis of jet ejector’s has been carried out using     efficiency. Eames (2002) [2] introduced the concept
irreversibility characteristics. The various losses      of constant rate momentum change (CRMC) method
that occur in different regions of jet ejector have      to eliminate the loss due to shock wave for
been quantified and an attempt has been made to          supersonic-jet     pumps.     Somsakwatanawanavet
increase the efficiency of jet ejector by reducing the   (2005) [3] optimised the design parameters
losses based on minimization of entropy method. In       (optimum length, throat diameter, nozzle position,
the present work, new technique has been identified      and inlet curvature of the converging section) for
to minimise the momentum difference between the          high efficiency jet ejector. In the literature review,
motive and the propelled fluid. This was carried out     most of the researchers have concentrated to
by forcing the propelled stream using a blower. The      introduce the new methodology to improve the
geometrical design parameters were obtained by           performance of the jet ejectors. In this regard, an
solving the set of governing equations, a CFD            attempt has been carried out to introduce the forced
package; FLUENT and it has been effectively used         draught concept (blower) at the secondary inlet of
to evaluate the optimum entrainment ratio for a          the jet ejector to improve the performance by
given set of operating conditions.                       reducing the momentum difference between the two
                                                         streams. This decrease the kinetic energy loss in the
Keywords: Jet ejector, Efficiency, Irreversibility,      mixing area by forced draught system.
CRMC, Forced draught
                                                         2. Description of the Model
1. Introduction                                                    In the present model, blower is used to
          The jet ejector essentially consists of        increase the velocity of the secondary stream at the
nozzle, converging section, mixing throat and            inlet. This reduces the momentum difference during
diffuser. According to the Bernoulli’s principle         mixing and in turn reduces the kinetic energy losses.
when fluid is pumped through the nozzle of a jet         The schematic view of the present model is shown
ejector at a high velocity, a low pressure region is     in Fig.1.
created before the outside of the nozzle. A second
fluid gets entrained into the jet compressor through
this low pressure region. The dispersion of the
entrained fluid in the throat of the ejector with the
fluid jet emerging from the nozzle leads to intimate
mixing of the two phases [1]. A diffuser section of
the mixing throat helps to recover the pressure. The
fluid jet performs two functions: 1. It develops the
suction for the entrainment of the secondary fluid. 2.
It provides energy for the dispersion of the one
phase into the other. This process has been largely
exploits in vacuum systems in which high speed
fluid stream is used to generate vacuum. In the
ejector, three main irreversibility’s are “pure
mixing” “kinetic energy losses,” and normal shock
wave. The “pure mixing” and “kinetic energy
losses” occur simultaneously in the mixing section
followed by the normal shock wave. Irreversibility
due to mixing can be eliminated by appropriate           Figure 1. Description of the model
choice of gas. In this aspect, Arbel et al. (2003) [1]           Based on the present model, an efficiency
analysed and characterized theirreversibility’s (pure    comparison is made to compare the small and large
mixing, kinetic energy, and normal shock wave) of        momentum differences between the motive and



                                                                                              1650 | P a g e
S. Gurulingam, A. Kalaisselvane, N. Alagumurthy / International Journal of Engineering
             Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                   Vol. 2, Issue 6, November- December 2012, pp.1650-1653
propelled streams. The mass flow rate and velocity
of the primary and secondary fluid are 1kg/s, 10
m/s and 1kg/s, 1 m/s respectively. The efficiency of
the jet ejector is found to be 54.5%. If the velocity
of the secondary fluid is increased to 6 m/s, then the
efficiency of the jet ejector is 94.1%. The efficiency
is calculated based on Eq. (1).
       𝐸
 𝜂 = 𝑘𝑚𝑖𝑥
     𝐸 𝑘𝑚 +𝐸 𝑘𝑝
                                          (1)
Where
 = efficiency                                                (a)      Conventional
Ekmix               = Kinetic energy of mixed stream          (b)
J/s
Ekm                 = Kinetic energy of motive stream
J/s
Ekp                 = Kinetic energy of propelled
stream J/s

          The calculation shows that the efficiency
increases substantially when the momentum
difference between the motive and propelled
streams decreases. This is achieved by increasing the
velocity of the propelled fluid using a blower, keeping       (c)     CRMC based method
the mass flow as constant.                                    Figure.2 Meshed geometry for conventional and
                                                              CRMC jet ejectors.
3. Numerical Study
          A 2D model of the jet ejector is created in         4. Results and Discussion
Gambit. Axi- symmetric solver is chosen in the                          The simulated results have helped in
FLUENT, 3D effects can be reflected by 2D jet ejector         understanding the local interactions between the two
model. The geometrical design parameters of the jet           fluids, and recompression rate which in turn made it
ejector were obtained by solving the steady state             possible for a more reliable and accurate geometric
Navier-Stokes equations as well as the equation of mass       design and operating conditions. Many numerical
and energy transport for compressible flows, which is         studies about supersonic ejectors have been reported
given in Eq. 2-4. Turbulent k- model was used to solve       since 1990s in predicting ejector performance and
the equations using CFD package, FLUENT. Grid                 providing a better understanding of the flow and mixing
independent study was carried out. The optimum                processes within the ejector (Riffat et al [4],
structured quadrilateral grid size of 0.25 mm was used        Ouzzane&Aidoun [5], Alexis &Rogdakis [6],
in the present model. The meshed geometry for                 Chunnanond&Aphornratana               [7]),        pump
conventional and CRMC based jet ejector are shown in          (Beithou&Aybar [8]) and in mixing processes (Arbel et
Fig. 2. The following boundary conditions are used in         al [9]).
the present model. The boundary conditions are (1)                      The jet ejectors are designed for ER =1.
Mass flow inlet at nozzle inlet, (2) Pressure inlet at        Fluent simulation shows that the jet ejector designed
secondary flow inlet and (3) Pressure outlet at exit of       based on conventional method produces an ER = 0.774,
the jet ejector. Theconverged solutionswere obtained          whereas CRMC based jet ejector produces an ER =
for the residual values of 10-6, 10-3, 10-6, 10-3, and 10-3   0.85. In conventional jet ejector there is drop in ER
for continuity, momentum, energy, k and epsilon.              since shock wave occurs at the end of constant area
∂/∂xi (ρui) = 0                                               mixing chamber. Fig 3 shows the static pressure along
                                        (2)                   the axis of the jet ejector. The presence of shock wave
∂/∂xi (ρuiuj) = ρgi - ∂P/∂xj+∂/∂xi (τij-ρu,iu,j) (3)          increases the static pressure. Since shock wave
∂/∂xi (ρCpuiT) = ∂/∂xi (λ ∂T/∂xi - ρCpui,T,) +μΦ              generation is an irreversible process, there is drop in
                                                              efficiency of jet ejector.
                                                (4)
Where
τij is the symmetric stress tensor,

ρu,iu,j is the Reynolds stress,
ρCpui,T, is the turbulent heat flux and
μΦ is the viscous dissipation.




                                                                                                    1651 | P a g e
S. Gurulingam, A. Kalaisselvane, N. Alagumurthy / International Journal of Engineering
             Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                   Vol. 2, Issue 6, November- December 2012, pp.1650-1653




Figure 3. Static pressure along the axis of
conventional jet ejector.
                                                               Figure.5. Variations of flow velocity at different
                                                               sections of the jet ejector
          CRMC method eliminates the formation of
shock wave in the mixing area. The cross sectional area
                                                                          The flow velocity plot obtained from the
of the mixing region of jet ejector is not constant. The
                                                               simulation results both for forced and unforced draft jet
mixing region and diffuser are replaced by a convergent
                                                               ejector are shown in figure (5). Since, the secondary
and divergent diffuser. The momentum of primary fluid
                                                               fluid is forced externally using a blower, it is observed
is transferred at constant rate to secondary fluid by
                                                               that the velocity of the motive fluid is almost
varying the cross section of the pipe. Fig (4) shows the
                                                               maintained constant till the end of ejector throat
static pressure along the axis of the jet ejector. The raise
                                                               compared to the natural draft system after an initial drop
in the static pressure (pressure recovery from kinetic
                                                               in velocity at the mixing section. This ensures a
energy after mixing) occurs at constant rate.
                                                               minimum momentum difference between the motive
                                                               and the propelled fluid by which the entrainment ratio
                                                               of the jet compressor is increased. In the diffuser section
                                                               of the jet ejector the flow velocity of the mixed fluid
                                                               decreases again to subsonic velocity converting the
                                                               kinetic energy to pressure energy.




Figure 4. Static pressure along axis of CRMC jet
ejector.

          In a natural draught jet ejector there is large
difference in kinetic energies of two streams before
mixing occurs. So it leads to entropy generation. Forced
draught is a new method adopted in this work to force
                                                               Figure 6. Comparison of variation of static pressure
the secondary fluid using a blower to the required
velocity at the inlet of the secondary nozzle.                 (gauge) of both the forced and unforced suction jet
                                                               ejector.
                                                                         Figure (6) shows the comparison of the static
                                                               pressure change at different regions of the jet ejector for
                                                               the forced and unforced draft system. In the forced
                                                               suction, the static pressure is almost found constant for
                                                               the entire mixing and the throat section after which it
                                                               gradually rises in the diffuser section. This eliminates
                                                               the shock process which occurs in the conventional
                                                               method, avoiding the total pressure loss associated with


                                                                                                       1652 | P a g e
S. Gurulingam, A. Kalaisselvane, N. Alagumurthy / International Journal of Engineering
                Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                      Vol. 2, Issue 6, November- December 2012, pp.1650-1653
the shock. The estimated pressure lift ratio using the
CRMC method is found to increase by 40% over the
conventional method.

8. Conclusion
          In the present model, various losses have been
identified and the performance of the jet ejector has
been improved by using the concept of forced draught.
Based on that, kinetic energy losses has been reduced,
which in turn increased the efficiency of the jet
compressor. In the present numerical study, entrainment
ratio (ER) is increased from 0.774 to 0.95 due to forced
draught. This obviously, reduces the irreversibility’s of
the jet compressor and shows good agreement with the
theoretically designed value.

References
  1.      A.Arbel, A.Shklyar, D.Hershgal, M.Barak,
          M.Sokolov,        “Ejector      irreversibility
          characteristics”,     Journal     of     Fluid
          Engineering Vol. 125, 2003, page 121-
          1297.
  2.      Ian. W. Eames, “New prescription for the
          design of supersonic-jetpumps: the
          constant rate momentum change method”,
          Applied thermal Engineering, Vol. 22,
          pp121-131, 2002
  3.      Somsak watanawanavet, “Optimization of
          high-efficiency jet ejector byComputational
          fluid dynamics software”, Master of
          science thesis, Texas University, 2005.
  4.      S.B.Riffat,     G.Gan       and      S.Smith,
          “Computational Fluid Dynamics applied to
          ejector heat pumps”, Applied Thermal
          Engineering, Vol. 16, No 4, pp291-297,
          1996.
  5.      Holtzapple, M. T., “High-Efficiency Jet
          Ejector,”       (Invention         Disclosure)
          Department of Chemical Engineering,
          Texas A&M University, College Station,
          Texas (2001).
  6.      M.Ouzzane,         Z.Aiddoum,         “Model
          development and numerical procedure for
          detailed ejector analysis and design”,
          Applied Thermal Engineering, Vol. 23,
          2003, page 2337-2351.
  7.      G.K.Alexes,          E.D.Rogdakis,         “A.
          verification study of steam –ejector
          refrigeration model”, Applied Thermal
          Engineering, Vol. 23, 2003, page 29-36.
  8.      Kanjanapon,                     Chunnanond,
          SathaApornratana,       “An      experimental
          investigation     of    a    steam     ejector
          refrigerator: the analysis of the pressure
          along the ejector”, Applied Thermal
          Engineering, Vol. 24, 2004, page 311-322.
  9.      NabelBeithou, Hikmet S. Ayber, “A
          mathematical model for steam driven jet
          pump”, international Journal of Multiphase
          flow, Vol. 26, 2000, page 1609-1619.


                                                                                   1653 | P a g e

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Study of Velocity and Pressure Distribution Characteristics Inside Of Catalyt...
 

Io2616501653

  • 1. S. Gurulingam, A. Kalaisselvane, N. Alagumurthy / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 6, November- December 2012, pp.1650-1653 Numerical Study of Performance Improvement of Jet Ejector S. Gurulingama*, A. Kalaisselvaneb, N. Alagumurthyc a Research scholar, Department of Mechanical Engineering, Pondicherry Engineering College, Pondicherry, INDIA b Assistant Professor, Department of Mechanical Engineering, Pondicherry Engineering College, Pondicherry, INDIA c Professor, Department of Mechanical Engineering, Pondicherry Engineering College, Pondicherry, INDIA Abstract In this paper, numerical performance the ejector internal processes to improve the overall analysis of jet ejector’s has been carried out using efficiency. Eames (2002) [2] introduced the concept irreversibility characteristics. The various losses of constant rate momentum change (CRMC) method that occur in different regions of jet ejector have to eliminate the loss due to shock wave for been quantified and an attempt has been made to supersonic-jet pumps. Somsakwatanawanavet increase the efficiency of jet ejector by reducing the (2005) [3] optimised the design parameters losses based on minimization of entropy method. In (optimum length, throat diameter, nozzle position, the present work, new technique has been identified and inlet curvature of the converging section) for to minimise the momentum difference between the high efficiency jet ejector. In the literature review, motive and the propelled fluid. This was carried out most of the researchers have concentrated to by forcing the propelled stream using a blower. The introduce the new methodology to improve the geometrical design parameters were obtained by performance of the jet ejectors. In this regard, an solving the set of governing equations, a CFD attempt has been carried out to introduce the forced package; FLUENT and it has been effectively used draught concept (blower) at the secondary inlet of to evaluate the optimum entrainment ratio for a the jet ejector to improve the performance by given set of operating conditions. reducing the momentum difference between the two streams. This decrease the kinetic energy loss in the Keywords: Jet ejector, Efficiency, Irreversibility, mixing area by forced draught system. CRMC, Forced draught 2. Description of the Model 1. Introduction In the present model, blower is used to The jet ejector essentially consists of increase the velocity of the secondary stream at the nozzle, converging section, mixing throat and inlet. This reduces the momentum difference during diffuser. According to the Bernoulli’s principle mixing and in turn reduces the kinetic energy losses. when fluid is pumped through the nozzle of a jet The schematic view of the present model is shown ejector at a high velocity, a low pressure region is in Fig.1. created before the outside of the nozzle. A second fluid gets entrained into the jet compressor through this low pressure region. The dispersion of the entrained fluid in the throat of the ejector with the fluid jet emerging from the nozzle leads to intimate mixing of the two phases [1]. A diffuser section of the mixing throat helps to recover the pressure. The fluid jet performs two functions: 1. It develops the suction for the entrainment of the secondary fluid. 2. It provides energy for the dispersion of the one phase into the other. This process has been largely exploits in vacuum systems in which high speed fluid stream is used to generate vacuum. In the ejector, three main irreversibility’s are “pure mixing” “kinetic energy losses,” and normal shock wave. The “pure mixing” and “kinetic energy losses” occur simultaneously in the mixing section followed by the normal shock wave. Irreversibility due to mixing can be eliminated by appropriate Figure 1. Description of the model choice of gas. In this aspect, Arbel et al. (2003) [1] Based on the present model, an efficiency analysed and characterized theirreversibility’s (pure comparison is made to compare the small and large mixing, kinetic energy, and normal shock wave) of momentum differences between the motive and 1650 | P a g e
  • 2. S. Gurulingam, A. Kalaisselvane, N. Alagumurthy / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 6, November- December 2012, pp.1650-1653 propelled streams. The mass flow rate and velocity of the primary and secondary fluid are 1kg/s, 10 m/s and 1kg/s, 1 m/s respectively. The efficiency of the jet ejector is found to be 54.5%. If the velocity of the secondary fluid is increased to 6 m/s, then the efficiency of the jet ejector is 94.1%. The efficiency is calculated based on Eq. (1). 𝐸 𝜂 = 𝑘𝑚𝑖𝑥 𝐸 𝑘𝑚 +𝐸 𝑘𝑝 (1) Where  = efficiency (a) Conventional Ekmix = Kinetic energy of mixed stream (b) J/s Ekm = Kinetic energy of motive stream J/s Ekp = Kinetic energy of propelled stream J/s The calculation shows that the efficiency increases substantially when the momentum difference between the motive and propelled streams decreases. This is achieved by increasing the velocity of the propelled fluid using a blower, keeping (c) CRMC based method the mass flow as constant. Figure.2 Meshed geometry for conventional and CRMC jet ejectors. 3. Numerical Study A 2D model of the jet ejector is created in 4. Results and Discussion Gambit. Axi- symmetric solver is chosen in the The simulated results have helped in FLUENT, 3D effects can be reflected by 2D jet ejector understanding the local interactions between the two model. The geometrical design parameters of the jet fluids, and recompression rate which in turn made it ejector were obtained by solving the steady state possible for a more reliable and accurate geometric Navier-Stokes equations as well as the equation of mass design and operating conditions. Many numerical and energy transport for compressible flows, which is studies about supersonic ejectors have been reported given in Eq. 2-4. Turbulent k- model was used to solve since 1990s in predicting ejector performance and the equations using CFD package, FLUENT. Grid providing a better understanding of the flow and mixing independent study was carried out. The optimum processes within the ejector (Riffat et al [4], structured quadrilateral grid size of 0.25 mm was used Ouzzane&Aidoun [5], Alexis &Rogdakis [6], in the present model. The meshed geometry for Chunnanond&Aphornratana [7]), pump conventional and CRMC based jet ejector are shown in (Beithou&Aybar [8]) and in mixing processes (Arbel et Fig. 2. The following boundary conditions are used in al [9]). the present model. The boundary conditions are (1) The jet ejectors are designed for ER =1. Mass flow inlet at nozzle inlet, (2) Pressure inlet at Fluent simulation shows that the jet ejector designed secondary flow inlet and (3) Pressure outlet at exit of based on conventional method produces an ER = 0.774, the jet ejector. Theconverged solutionswere obtained whereas CRMC based jet ejector produces an ER = for the residual values of 10-6, 10-3, 10-6, 10-3, and 10-3 0.85. In conventional jet ejector there is drop in ER for continuity, momentum, energy, k and epsilon. since shock wave occurs at the end of constant area ∂/∂xi (ρui) = 0 mixing chamber. Fig 3 shows the static pressure along (2) the axis of the jet ejector. The presence of shock wave ∂/∂xi (ρuiuj) = ρgi - ∂P/∂xj+∂/∂xi (τij-ρu,iu,j) (3) increases the static pressure. Since shock wave ∂/∂xi (ρCpuiT) = ∂/∂xi (λ ∂T/∂xi - ρCpui,T,) +μΦ generation is an irreversible process, there is drop in efficiency of jet ejector. (4) Where τij is the symmetric stress tensor, ρu,iu,j is the Reynolds stress, ρCpui,T, is the turbulent heat flux and μΦ is the viscous dissipation. 1651 | P a g e
  • 3. S. Gurulingam, A. Kalaisselvane, N. Alagumurthy / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 6, November- December 2012, pp.1650-1653 Figure 3. Static pressure along the axis of conventional jet ejector. Figure.5. Variations of flow velocity at different sections of the jet ejector CRMC method eliminates the formation of shock wave in the mixing area. The cross sectional area The flow velocity plot obtained from the of the mixing region of jet ejector is not constant. The simulation results both for forced and unforced draft jet mixing region and diffuser are replaced by a convergent ejector are shown in figure (5). Since, the secondary and divergent diffuser. The momentum of primary fluid fluid is forced externally using a blower, it is observed is transferred at constant rate to secondary fluid by that the velocity of the motive fluid is almost varying the cross section of the pipe. Fig (4) shows the maintained constant till the end of ejector throat static pressure along the axis of the jet ejector. The raise compared to the natural draft system after an initial drop in the static pressure (pressure recovery from kinetic in velocity at the mixing section. This ensures a energy after mixing) occurs at constant rate. minimum momentum difference between the motive and the propelled fluid by which the entrainment ratio of the jet compressor is increased. In the diffuser section of the jet ejector the flow velocity of the mixed fluid decreases again to subsonic velocity converting the kinetic energy to pressure energy. Figure 4. Static pressure along axis of CRMC jet ejector. In a natural draught jet ejector there is large difference in kinetic energies of two streams before mixing occurs. So it leads to entropy generation. Forced draught is a new method adopted in this work to force Figure 6. Comparison of variation of static pressure the secondary fluid using a blower to the required velocity at the inlet of the secondary nozzle. (gauge) of both the forced and unforced suction jet ejector. Figure (6) shows the comparison of the static pressure change at different regions of the jet ejector for the forced and unforced draft system. In the forced suction, the static pressure is almost found constant for the entire mixing and the throat section after which it gradually rises in the diffuser section. This eliminates the shock process which occurs in the conventional method, avoiding the total pressure loss associated with 1652 | P a g e
  • 4. S. Gurulingam, A. Kalaisselvane, N. Alagumurthy / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 6, November- December 2012, pp.1650-1653 the shock. The estimated pressure lift ratio using the CRMC method is found to increase by 40% over the conventional method. 8. Conclusion In the present model, various losses have been identified and the performance of the jet ejector has been improved by using the concept of forced draught. Based on that, kinetic energy losses has been reduced, which in turn increased the efficiency of the jet compressor. In the present numerical study, entrainment ratio (ER) is increased from 0.774 to 0.95 due to forced draught. This obviously, reduces the irreversibility’s of the jet compressor and shows good agreement with the theoretically designed value. References 1. A.Arbel, A.Shklyar, D.Hershgal, M.Barak, M.Sokolov, “Ejector irreversibility characteristics”, Journal of Fluid Engineering Vol. 125, 2003, page 121- 1297. 2. Ian. W. Eames, “New prescription for the design of supersonic-jetpumps: the constant rate momentum change method”, Applied thermal Engineering, Vol. 22, pp121-131, 2002 3. Somsak watanawanavet, “Optimization of high-efficiency jet ejector byComputational fluid dynamics software”, Master of science thesis, Texas University, 2005. 4. S.B.Riffat, G.Gan and S.Smith, “Computational Fluid Dynamics applied to ejector heat pumps”, Applied Thermal Engineering, Vol. 16, No 4, pp291-297, 1996. 5. Holtzapple, M. T., “High-Efficiency Jet Ejector,” (Invention Disclosure) Department of Chemical Engineering, Texas A&M University, College Station, Texas (2001). 6. M.Ouzzane, Z.Aiddoum, “Model development and numerical procedure for detailed ejector analysis and design”, Applied Thermal Engineering, Vol. 23, 2003, page 2337-2351. 7. G.K.Alexes, E.D.Rogdakis, “A. verification study of steam –ejector refrigeration model”, Applied Thermal Engineering, Vol. 23, 2003, page 29-36. 8. Kanjanapon, Chunnanond, SathaApornratana, “An experimental investigation of a steam ejector refrigerator: the analysis of the pressure along the ejector”, Applied Thermal Engineering, Vol. 24, 2004, page 311-322. 9. NabelBeithou, Hikmet S. Ayber, “A mathematical model for steam driven jet pump”, international Journal of Multiphase flow, Vol. 26, 2000, page 1609-1619. 1653 | P a g e