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Relation between thrust force of a disk and circulation of the vortex ring S e i j i 【 C H I K A W A and Osamu MOCHIZUKI A B S T R A C T TIIH [)ur|K)SB ol' this sludy is to understand the relation bctwoon circulntion <>1' N vortex ring gpnpratod liy ( lie accp]prat«cl disk and nt'cessary force lo move I he disk. We measured volocity fields around the disk vising >] PIV nn't hod. It w^s (bund (hat th( j cirrulntion re]atod to the furcw lo uccclcrato flow near iho cdye ofl.he* iliali This suggests thai if wo know the velocity of the edge and chants in circulation of (ho starling vortex ring, we can estimate fore い o f l ho disk. We propose the mfil hod tn estimate thrust force o(' swimming animals