Table 3 Unsteady drag force coefficients for two rigid spheres move with \(U_1=2U_2, a_2=2 a_1, \bar{\eta }'=0, t=5\).
From: Oscillatory interactions of two spheres in an unbounded couple stress fluid
| Â | Â | \(K^{(1)}\) | Â | Â | \(K'^{(1)}\) | Â | Â |
|---|---|---|---|---|---|---|---|
\(\alpha\) | \(\frac{h}{a_2+a_1}\) | \(\bar{\eta }=0.01\) | \(\bar{\eta }=0.1\) | \(\bar{\eta }=0.9\) | \(\bar{\eta }=0.01\) | \(\bar{\eta }=0.1\) | \(\bar{\eta }=0.9\) |
| Â | 1.05 | 0.078379 | 0.007945 | 0.082370 | -0.205359 | -0.250730 | -0.506263 |
| Â | 2.00 | 0.060164 | 0.075140 | 0.122659 | -0.241795 | -0.276394 | -0.440055 |
0.5 | 3.00 | 0.085612 | 0.107517 | 0.218441 | -0.264558 | -0.303036 | -0.488604 |
| Â | 4.00 | 0.083816 | 0.105606 | 0.218925 | -0.275613 | -0.316921 | -0.529448 |
| Â | 5.00 | 0.080443 | 0.101354 | 0.205717 | -0.276902 | -0.318619 | -0.536428 |
| Â | 6.00 | 0.079492 | 0.100129 | 0.201079 | -0.276147 | -0.317660 | -0.533268 |
| Â | 7.00 | 0.079529 | 0.100179 | 0.201279 | -0.275732 | -0.317126 | -0.531152 |
| Â | 8.00 | 0.079644 | 0.100330 | 0.201992 | -0.275660 | -0.317036 | -0.530833 |
| Â | 9.00 | 0.079680 | 0.100376 | 0.202205 | -0.275672 | -0.317055 | -0.531 |
| Â | 10.00 | 0.079680 | 0.100375 | 0.202178 | -0.275679 | -0.317066 | -0.531088 |
| Â | 1.05 | 0.120921 | 0.173948 | 0.280915 | -0.242375 | -0.299227 | -0.472978 |
| Â | 2.00 | 0.104973 | 0.135896 | 0.222360 | -0.277152 | -0.337954 | -0.640729 |
2.0 | 3.00 | 0.107412 | 0.139223 | 0.230917 | -0.275661 | -0.335930 | -0.616184 |
| Â | 4.00 | 0.107736 | 0.139505 | 0.229814 | -0.275386 | -0.335499 | -0.617305 |
| Â | 5.00 | 0.107832 | 0.139588 | 0.230132 | -0.275304 | -0.335382 | -0.616801 |
| Â | 6.00 | 0.107869 | 0.139621 | 0.230110 | -0.275271 | -0.335336 | -0.616704 |
| Â | 7.00 | 0.107887 | 0.139636 | 0.230127 | -0.275255 | -0.335314 | -0.616651 |
| Â | 8.00 | 0.107896 | 0.139644 | 0.230131 | -0.275246 | -0.335302 | -0.616622 |
| Â | 9.00 | 0.107902 | 0.139648 | 0.230134 | -0.275242 | -0.335295 | -0.616606 |
| Â | 10.00 | 0.107905 | 0.139651 | 0.230135 | -0.275239 | -0.335291 | -0.616596 |
| Â | 1.05 | 0.021580 | 0.017281 | 0.002980 | -0.154808 | -0.218202 | -0.345266 |
| Â | 2.00 | 0.155706 | 0.153311 | 0.139994 | -0.470358 | -0.522750 | -0.625612 |
60.0 | 3.00 | 0.160410 | 0.158043 | 0.144861 | -0.481309 | -0.533307 | -0.635368 |
| Â | 4.00 | 0.161246 | 0.158884 | 0.145726 | -0.483251 | -0.535177 | -0.637090 |
| Â | 5.00 | 0.161500 | 0.159139 | 0.145988 | -0.483840 | -0.535742 | -0.637610 |
| Â | 6.00 | 0.161601 | 0.159241 | 0.146093 | -0.484075 | -0.535968 | -0.637817 |
| Â | 7.00 | 0.161650 | 0.159290 | 0.146143 | -0.484186 | -0.536075 | -0.637916 |
| Â | 8.00 | 0.161675 | 0.159316 | 0.146169 | -0.484246 | -0.536132 | -0.637968 |
| Â | 9.00 | 0.161690 | 0.159331 | 0.146185 | -0.484280 | -0.536165 | -0.637998 |
| Â | 10.00 | 0.161700 | 0.159340 | 0.146194 | -0.484302 | -0.536186 | -0.638017 |