Research Article
MHD Flow of an Incompressible Viscous Fluid through Convergent or Divergent Channels in Presence of a High Magnetic Field
Table 1
The comparison between the numerical results and DTM solution for velocity when Re = 100 and = 1500.
| | | | | | | | | DTM | Numerical | Error | | DTM | Numerical | Error |
| 0.00 | 1.00000000 |
1.00000000
|
0.00000000
| |
1.00000000
|
1.00000000
|
0.00000000
| 0.05 |
0.99651592
|
0.99651592
|
0.00000000
| |
0.99887174
|
0.99887174
|
0.00000000
| 0.10 |
0.98611456
|
0.98611455
|
0.00000001
| |
0.99545428
|
0.99545428
| 0.00000000 | 0.15 |
0.96894623
|
0.96894623
|
0.00000000
| |
0.98964873
|
0.98964873
| 0.00000000 | 0.20 |
0.94525393
|
0.94525392
|
0.00000001
| |
0.98128773
|
0.98128772
| 0.00000001 | 0.25 |
0.91536246
|
0.91536246
|
0.00000000
| |
0.97013152
|
0.97013151
| 0.00000001 | 0.30 |
0.87966426
|
0.87966426
|
0.00000000
| |
0.95586263
|
0.95586262
| 0.00000001 | 0.35 |
0.83860260
|
0.83860260
|
0.00000000
| |
0.93807899
|
0.93807898
| 0.00000001 | 0.40 |
0.79265312
|
0.79265312
|
0.00000000
| |
0.91628580
|
0.91628578
| 0.00000002 | 0.45 |
0.74230468
|
0.74230468
|
0.00000000
| |
0.88988619
|
0.88988617
| 0.00000002 | 0.50 |
0.68804028
|
0.68804027
|
0.00000001
| |
0.85817118
|
0.85817117
| 0.00000001 | 0.55 |
0.63031878
|
0.63031877
|
0.00000001
| |
0.82030940
|
0.82030938
| 0.00000002 | 0.60 |
0.56955800
|
0.56955800
|
0.00000000
| |
0.77533733
|
0.77533732
| 0.00000001 | 0.65 |
0.50611946
|
0.50611946
|
0.00000000
| |
0.72215163
|
0.72215162
| 0.00000001 | 0.70 |
0.44029483
|
0.44029483
|
0.00000000
| |
0.65950492
|
0.65950492
| 0.00000000 | 0.75 |
0.37229410
|
0.37229410
|
0.00000000
| |
0.58600786
|
0.58600786
| 0.00000000 | 0.80 |
0.30223504
|
0.30223503
|
0.00000001
| |
0.50014060
|
0.50014060
| 0.00000000 | 0.85 |
0.23013349
|
0.23013349
|
0.00000000
| |
0.40027797
|
0.40027799
| 0.00000002 | 0.90 |
0.15589396
|
0.15589396
|
0.00000000
| |
0.28473379
|
0.28473382
| 0.00000003 | 0.95 |
0.07929949
|
0.07929949
|
0.00000000
| |
0.15183034
|
0.15183037
| 0.00000003 | 1.00 |
0.00000000
|
0.00000000
|
0.00000000
| | 0.00000000 | 0.00000004 | 0.00000004 |
|
|