Page 171 - Process Modelling and Simulation With Finite Element Methods
P. 171

158        Process Modelling  and Simulation with Finite Element Methods

                                                                     Max ,
                  Time=l  Velocity Vectors      Time=l  lsopycnals of cl
             5                                                        0 9524
                                            5                         n 9048
            45                                                        0 8571
             4                             45  4                      0 8095
                                                                      0 7619
                                                                      0 6661
            35                             31                         0 7143
                                                                      06191
             3                              3                         05714
                                                                      0 1238
                                                                      0 4762 4x6
            25                             25                         0
             2                              2                         0 381
                                                                      0
            15                             15                         0 3333 2857
                                            1                         0 2381
             I                                                        0 1415
                                           05                         0  0 1429 0953
            06
                                            n                         n 0476
             0
                                             2   I   0   1   2   3   I   5   5   I   Mnlmm
                  Time=5  Velocty Vectors        Time=5  lsopycnals of cl   MllX  I
             5                              5                         0 354s
                                                                      8636
                                                                      0
            45                                                        0 ?Q91
                                           45                         o 8181
             4
                                            1                         0 7726
                                                                      OSBiT
                                                                      0,272
            35                             35                         0 6362
             3                              3                         n 5-
                                                                      n
                                                                      4998
            25                             25                         n 5453
                                                                      0
             2                              2                         0 4544 4w9
            15                             15                         n 3634
                                                                      03179
                                                                      0 2725
             I                              1                         n 227
                                           06
            05                                                        0 1815
                                                                      0 1361 0906
                                                                      0
                                            0
             '2   1  0  1  2  3   4   5   6   7   2  1  0  1  2  3  4  5  6  7  WnOMS1
                  Time=lO  Velocrty Vectors     Time=lO  lsopycnals of cl   NI.X  ?
             5                              5                        09613
                                                                     0 9225
            45                                                       0 a838
                                           45                        0 8451
             4                              1                        0 BE63
                                                                     07676
                                                                      6901
            35                              35                        0  0 7288
             3                              3                         06511
                                                                      0
                                                                      0 5739
            26                              21                        06126
                                                                      5312
             2                              2                         0 4951
                                                                      0 4577
            15                              15                        0419
                                            I                         0 3802
                                                                      om
                                                                      om
             1                                                        03415
                                            05
            05                              0                         0 z53
             ' 2  1  0  1  2  3   4   5   6   7   2   1   n   I   2   3   4   5   6   i  ~noisi
                        Velocrtv vectors        Time=20  lsopycnals of cl   Max  I
                                                                      0 973
                                            5                         0 945
                                                                      n9im
                                           45                         n89w
                                            4                         0 EEd9
                                                                      nam
                                                                      n 8379
                                           35                         0 7838
                                            3                         0 7558
                                                                      0 7298
                                           25                         0 7027
                                            2                         0 6757
                                                                      0 6187
                                           15                         0  06217 1947
                                            1                         0 5676
                                                                      n 5403
                                                                      051%
                                           05                         0 4m
                                            0                         0 4595
                                             2   1   0   1   2   3   4   5   6   7   hmO431
          Figure  4.13  History  of  free convection in  the buffer  tank.  Animation  of  times  0-1  shows  the
          spreading out of  the gravity current and the establishment of the upper recirculation region.  All later
          times  shown have apparently  self-similar profiles.  The strength  of  the velocity profile diminishes
          with time.
   166   167   168   169   170   171   172   173   174   175   176