Thanks for the in depth analysis of wind drag. I calculated it for my boat,
a Portsmouth Downeast '30 flybridge Cruiser. What this tells me is that even
if I have adequate ground tackle to hold the boat in hurricane winds, I will
have a problem with pilot house windows blowing in at those pressures. I think
I will have to design and build boat "shutters" for those windows.
Wind Drag Analysis
Wind drag on a boat is a function of the projected area at right angles to
the wind, the square of the wind speed, the density of the air, and the
dimensionless coefficient of drag which depends on the shape of the boat. Drag
coefficients have been determined from wind tunnel tests. Some representative
drag
coefficients are:
Open parachute (or efficient spinnaker) = 2.0
Hollow hemisphere, concave to wind = 1.7
Flat rectangular plate = 1.28
Wires, cylinders, masts = 1.0
Cargo ship, wind dead ahead = .95
Fishing trawler, wind dead ahead = .9 to 1.05, depending on superstructure,
outriggers, etc.
Streamlined passenger vessel = .70
Recreational trawler = .70 to 1.2, depending on superstructure, masts,
outriggers, etc.
Sphere = .47
Hollow hemisphere, convex to wind = .38
Modern automobile = .26 to .35
Airplane = .09
Using Area in sq. ft., wind Velocity in knots, and the U.S. Standard
Atmosphere for air density, the equation for Drag in lbs. can be written as:
Drag = .00339 x Coefficient of Drag x Knots^2 x Area
In a 20 kt. wind, a boat with an area of 100 sq. ft. at right angles to the
wind with a drag coefficient of 1.0 will have 135.6 lbs. of wind pressure on
its surface. The drag goes up as the square of the wind velocity. A
conservative way to estimate frontal area is to multiply the beam by the
height of the
superstructure. An even simpler way is to multiply the beam by 3/4 of the
beam.
By this calculation, my Willard has about 100 sq. ft. of area. A Nordhavn 40
has 160 sq. ft. of area. A Nordhavn 47 has about 195 sq. ft. of area. A
Nordhavn 72 has 330 sq.ft. of area.
For each 100 sq. feet of area:
20 Kts = 136 Lbs.
40 Kts = 542 Lbs.
60 Kts = 1220 Lbs.
80 Kts = 2170 Lbs.
100 Kts = 3990 Lbs.
120 Kts = 4882 Lbs.
140 Kts = 6644 Lbs.
160 Kts = 8678 Lbs
180 Kts = 10984 Lbs.
The answers to your specific questions are:
The force is much greater on the beam than on the bow because of the greater
area exposed to the wind. Wind forces have been measured innumerable times in
wind tunnels and in actual hurricane conditions. That's how the coefficients
of drag were determined. The results correspond to the figures I have given.
The force increases as the square of the wind velocity.
Wayward O'Malley
Wind Pressure Estimates at High End of Scale
Assumptions atmospheric pressure .0039
Drag coeficient 1.2 (takes into
consideration radar arch, windshield)
square footage at right angles to wind 190 (calculated by
multiplying beam 10.6 times height 18)
Formula is as follows
=SUM(0.00391.2)(75*75)*190 where 75 is wind force in knots
75 Knots of Wind5001.75Pressure on the part of the boat facing the wind
85 Knots of Wind6424.47
95 Knots of Wind8025.03
100 Knots of Wind8892
110 Knots of Wind10759.32
120 Knots of Wind12804.48
135 Knots of Wind16205.67
150 Knots of Wind20007
Wayward O'Malley
Wind Pressure Estimates at High End of Scale
Assumptions atmospheric pressure .0039
Drag coeficient 1.2 (takes into
consideration radar arch, windshield)1 (does not count radar arch or windshield
as important
square footage at right angles to wind 150 (calculated by
multiplying beam 10.6 times height 14)
Formula is as follows
=SUM(0.00391.0)(75*75)*150 where 75 is wind force in knots
75 Knots of Wind3290.625Pressure on the part of the boat facing the wind
85 Knots of Wind4226.625
95 Knots of Wind5279.625
100 Knots of Wind5850
110 Knots of Wind7078.5
120 Knots of Wind8424
135 Knots of Wind10661.63
150 Knots of Wind13162.5