the development of poiseuille flow of a pseudoplastic fluid

108
M.A.M. Al Khatib
Examples of the eigenvalues are given in Tables 2, 3, and 4 for the same values of k used to draw the velocity
profiles in Figures 2, 3, and 4.
Table 2. The Leading Eigenvalue α for the Case k =2and n → 0.
n α
1.000 2.106196 + i1.125364
0.900 2.063433 + i1.116431
0.800 2.014212 + i1.106579
0.700 1.956469 + i1.095871
0.600 1.886985 + i1.084694
0.500 1.800307 + i1.074300
0.400 1.685923 + i1.068200
0.300 1.519094 + i1.074583
0.200 1.225893 + i1.094100
0.150 0.975289 + i1.068689
0.100 0.626237 + i 0.902539
0.050 0.218521 + i 0.380135
0.040 0.132731 + i 0.230975
0.030 0.059276 + i 0.109136
0.025 0.022121 + i 0.048524
0.024 0.014812 + i 0.036458
0.023 0.007509 + i 0.025245
0.022 0.000353 + i 0.014025
Table 3. The Leading Eigenvalue α for the Case k =10and n → 0.
n α
1.00 2.106196 + i1.125364
0.90 2.035593 + i1.128023
0.80 1.955879 + i1.135971
0.70 1.863159 + i1.152236
0.60 1.748825 + i1.180960
0.50 1.592574 + i1.223862
0.40 1.353831 + i1.260822
0.30 0.992884 + i1.205290
0.20 0.544458 + i 0.881442
0.15 0.309815 + i 0.565653
0.12 0.155244 + i 0.392127
0.11 0.105398 + i 0.332444
0.10 0.054936 + i 0.272450
0.09 0.004784 + i 0.218245
The Arabian Journal for Science and Engineering, Volume 31, Number 1A. January 2006