Raindrops keep fallin' (Erratum)
The error in the last post was that the rain rate was written as 1 drop/sec. whereas it should have been
1.0 drops/sec/cm2 (i.e. for a 10 mm x 10 mm starting grid).
Because of this I divided by the number of sites, quite arbitrarily. Numerically, the end result is the same, but the logic was wrong.
The plot of time T vs x is appropriately modified above.
At a completely uniform rate it would take 100 secs to cover 10 mm x 10 mm at this rate. corresponding to a rain rate of 36 mm/hr of 1 mm dia raindrops.
The times involved (in secs), corresponding to the above graph, are tabulated below:
|
size
|
total
|
99%
|
90%
|
|
50x50
|
840.15
|
458.55
|
230.08
|
|
40x40
|
795.53
|
457.46
|
229.98
|
|
20x20
|
656.99
|
448.67
|
229.14
|
|
10x10
|
518.74
|
418.74
|
225.71
|
The error is regretted!
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