Space/Science — HabitableZone

Space/Science » in reply to re: Land Area Advantage of Inflatable Wind Ladders

Calculus of Wind Ladders

I've used both calculus and numerical analysis to verify that a height-to-width ratio of 14.4 : 1 would maximize the amount of power generated by a Wind Ladder per square mile of land (or sea). I've also verified that this ratio holds regardless of the size. So the question is now, which is preferred size?

On the small size Wind Ladders could be 50 meters wide and 720 meters tall. They would be spaced a mere 1.5 kilometers apart. They would generate double the amount of power per square mile compared to conventional wind turbines. However unlike conventional wind turbines the Wind Ladders would present a solid visual obstacle, being composed of large inflatable and opaque balloons. Offshore Wind Ladders would not have this aesthetic difficulty, and aircraft would have little difficulty flying above. Large ships on the ocean might have difficulty navigating around them.

On the large size Wind Ladders could be 250 meters wide and 3600 meters tall. They would be spaced 7.2 kilometers apart. They would also generate double the amount of power per square mile compared to conventional wind turbines. On land they might not present as much of a visual obstacle as the smaller Wind Ladders, and offshore not as much of an obstacle to large ships. However these large Wind Ladders would punch through the clouds and aircraft might have considerable difficulty avoiding them.

Tough choice.

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