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to occur between the fall velocities, the model value of the dimensionless fall velocity parameter must equal the prototype value. This relationship is seen in Equation 3.13.
Solving for Wm / WP;
W._ ,. H. (3.15)
P T. HP
Substituting in Equation 3.8 and replacing H and T with their equivalent length scale (according to Froude Similitude).
0.13 PL L (3.16)
0.51 LP Lm
Gives the following result:
- (3.17)
LP 16
For this experiment, the geometric scale will be 1:16. From equation 3.8, the time relationship between model and prototype is therefore 1:4.