Table 2 Steady drag force coefficients for two rigid spheres move with \(U_1=2U_2, a_2=2 a_1, \bar{\eta }'=0\).
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 | 0.219157 | 0.242684 | 0.508833 | 0.016907 | -0.063504 | -0.064621 |
0.5 | 2.00 | 0.248930 | 0.286356 | 0.456773 | -0.010896 | -0.006349 | -0.007206 |
| Â | 3.00 | 0.277976 | 0.321087 | 0.530497 | 0.007050 | 0.017141 | 0.070870 |
| Â | 4.00 | 0.288067 | 0.333859 | 0.569801 | 0.002192 | 0.011370 | 0.059748 |
| Â | 5.00 | 0.288347 | 0.334282 | 0.572748 | -0.001408 | 0.006811 | 0.045102 |
| Â | 6.00 | 0.287353 | 0.333015 | 0.568402 | -0.002106 | 0.005908 | 0.041551 |
| Â | 7.00 | 0.286966 | 0.332517 | 0.566430 | -0.001953 | 0.006107 | 0.042343 |
| Â | 8.00 | 0.286929 | 0.332473 | 0.566326 | -0.001822 | 0.006278 | 0.043117 |
| Â | 9.00 | 0.286951 | 0.332505 | 0.566546 | -0.001791 | 0.006316 | 0.043275 |
| Â | 10.00 | 0.286958 | 0.332514 | 0.566624 | -0.001793 | 0.006313 | 0.043223 |
| Â | 1.05 | 0.266720 | 0.336279 | 0.533235 | 0.047201 | 0.081924 | 0.135210 |
2.0 | 2.00 | 0.295545 | 0.362621 | 0.677485 | 0.022043 | 0.034450 | 0.031476 |
| Â | 3.00 | 0.294807 | 0.361624 | 0.656377 | 0.024805 | 0.038214 | 0.046644 |
| Â | 4.00 | 0.294635 | 0.361291 | 0.657138 | 0.025194 | 0.038606 | 0.045268 |
| Â | 5.00 | 0.294583 | 0.361202 | 0.656745 | 0.025309 | 0.038719 | 0.045716 |
| Â | 6.00 | 0.294562 | 0.361167 | 0.656646 | 0.025355 | 0.038764 | 0.045723 |
| Â | 7.00 | 0.294552 | 0.361150 | 0.656600 | 0.025376 | 0.038784 | 0.045754 |
| Â | 8.00 | 0.294547 | 0.361141 | 0.656574 | 0.025387 | 0.038795 | 0.045766 |
| Â | 9.00 | 0.294543 | 0.361135 | 0.656559 | 0.025394 | 0.038801 | 0.045773 |
| Â | 10.00 | 0.294541 | 0.361132 | 0.656550 | 0.025398 | 0.038805 | 0.045777 |
| Â | 1.05 | 0.154570 | 0.214141 | 0.331929 | -0.023220 | -0.045324 | -0.095081 |
60.0 | 2.00 | 0.495205 | 0.544767 | 0.639626 | 0.015888 | -0.001270 | -0.043219 |
| Â | 3.00 | 0.507041 | 0.556232 | 0.650361 | 0.017292 | 0.272 | -0.041319 |
| Â | 4.00 | 0.509141 | 0.558263 | 0.652258 | 0.017543 | 0.548 | -0.040978 |
| Â | 5.00 | 0.509777 | 0.558878 | 0.652831 | 0.017619 | 0.633 | -0.040874 |
| Â | 6.00 | 0.510031 | 0.559124 | 0.653060 | 0.017650 | 0.667 | -0.040833 |
| Â | 7.00 | 0.510152 | 0.559240 | 0.653168 | 0.017665 | 0.683 | -0.040813 |
| Â | 8.00 | 0.510216 | 0.559302 | 0.653226 | 0.017672 | 0.691 | -0.040802 |
| Â | 9.00 | 0.510254 | 0.559338 | 0.653259 | 0.017677 | 0.696 | -0.040796 |
| Â | 10.00 | 0.510277 | 0.559361 | 0.653280 | 0.017680 | 0.699 | -0.040792 |