Using Table 10.5, describe under what conditions, if any, the aspherical objects might exhibit the same or lower drag than a sphere in Stoke's flow. For systems that have parallel and perpendicular flow directions, you may need to describe the object in terms of its aspect ratio.

Transcribed Image Text:

TABLE 10.5 Stokes Drag Formulas for Non-Spherical Objects Geometry Drag Force Shape Factor K Sphere . 1 Sphere Cluster 1.25 Close Packed 1.12-1.73 Linear chain Thin Disk . K = 8/3 . K = 16/9 Needle of Length 2L . K = L/3rin (L/r) . . K =2L/3rln(L/r) Long Cylinder . 8 = 218/3r(1+1+4.36) 1 0.5-y-In (Red/4) Description Isolated sphere req = (3V/4) 1/3 V is the total volume of all the spheres (1) Flow perpendicular to disk (2) Flow parallel to disk (1) Flow parallel to needle long axis (2) Flow perpendicular to needle long axis. Flow perpendicular to cylinder main axis. Red = 2rvo/v Y=0.577216...