How would you explain loop diameter decreasing with a DT for example?
Paul,
The angular momentum of a circular loop is equal to pi*rh0_l*r.^3*omega. If you assume omega=v_tan/r for a circular loop and that v_tan is equal the loop velocity over the ground for a tethered cast then there would be a r.^2 dependence on the loop radius for nominal change in the rho_l of the line or the loop velocity to keep the angular momentum of the loop about the same over some small time range.
Thus if the loop velocity over the ground stayed the same you would expect the r2/r1 radius values would be proportional to the square root of the rho_l ratios given by the line taper. That would hold for a sink tip line with different line densities as well so I should have referenced the square root of the rho_l ratios in the above post, not the cube root.
When the loop velocity increases at the end of the cast then the relative increase in the v_tan term could be larger than the decrease in the rho_l values related to the line taper and thus the loop diameter would decrease as the loop velocity increases at the end of the cast. That is a hand waving argument than needs to be supported (or refuted) by some measurements related to what happens to the loop diameter at the end of the cast for a tapered line.
Note the use of the conservation of the angular momentum is related to my simple minded intuition on factors that might impact the dynamics of the loop. It is not strictly valid since there are outside forces acting on the loop. You won't see the conservation of angular momentum referenced in many papers related to the shape of a propagating loop although James may have some references that I have not seen.
Hendry also predicted a sizeable decrease in the diameter of the loop based on the change in the vertical momentum of the loop due to drag forces. He predicted the loop diameter would decrease from .5 m to .25 m for a level line with a dia= 1.4 mm, rho_l of .0012 Kg/m, l= 40 foot and an initial loop velocity over the ground of 30 m/s. He also makes no reference to the angular momentum of the loop in his thesis.
Perhaps an explanation for the MCF being of similar displacement to MCL is that you were adding force at some point while the rod was unloading?
That is true. It is quite easy to get large angular butt velocities in a rod with no line.
Gordy