Research Article
On the Successive Linearisation Approach to the Flow of Reactive Third-Grade Liquid in a Channel with Isothermal Walls
Table 1
Comparison between the SLM results at different orders and the
bvp4c numerical results for wall heat flux Nu for various values of
,
,
, and
.
| | | | | 1st order | 2nd order | 3rd order | bvp4c |
| | 2 | 1 | 0.1 | 0.1 | 0.14948880 | 0.14958883 | 0.14958883 | 0.14958883 | | 4 | 1 | 0.1 | 0.1 | 0.19550530 | 0.19565401 | 0.19565401 | 0.19565401 | | 6 | 1 | 0.1 | 0.1 | 0.24152181 | 0.24172906 | 0.24172906 | 0.24172906 | | 8 | 1 | 0.1 | 0.1 | 0.28753831 | 0.28781405 | 0.28781405 | 0.28781405 |
| | 1 | 1 | 0.1 | 0.1 | 0.12648054 | 0.12655991 | 0.12655991 | 0.12655991 | | 1 | 1 | 0.1 | 0.2 | 0.26159825 | 0.26233446 | 0.26233447 | 0.26233447 | | 1 | 1 | 0.1 | 0.3 | 0.40652882 | 0.40944698 | 0.40944728 | 0.40944728 | | 1 | 1 | 0.1 | 0.4 | 0.56267511 | 0.57092737 | 0.57093089 | 0.57093089 |
| | 1 | 1 | 0.1 | 0.1 | 0.12648054 | 0.12655991 | 0.12655991 | 0.12655991 | | 1 | 3 | 0.1 | 0.1 | 0.12168410 | 0.12175980 | 0.12175980 | 0.12175980 | | 1 | 5 | 0.1 | 0.1 | 0.11956272 | 0.11963676 | 0.11963676 | 0.11963676 | | 1 | 10 | 0.1 | 0.1 | 0.11691095 | 0.11698289 | 0.11698289 | 0.11698289 |
| | 1 | 1 | 1 | 0.5 | 0.73172481 | 0.71360852 | 0.71359336 | 0.71359336 | | 1 | 1 | 5 | 0.5 | 0.73172481 | 0.66332507 | 0.66312547 | 0.66312547 | | 1 | 1 | 10 | 0.5 | 0.73172481 | 0.64501234 | 0.64484620 | 0.64484620 | | 1 | 1 | 20 | 0.5 | 0.73172481 | 0.63173135 | 0.63164065 | 0.63164065 |
|
|
