Some notes on locomotion at low and intermediate Reynolds numbers
نویسنده
چکیده
Assumption: The body shape relative to the body frame is a given function of time B0(t). We call this the standard shape. The current body shape B(t) is obtained under a translation and rotation of the body frame. The latter is defined by a positional matrix. To say that locomotion has occurred at time t means we have realized at time t a nonzero translation. Example: steady locomotion in two dimensions. Let (xp, yp) be a point on the standard shape at time t. Let the positional matrix may then be written
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