Please consider a physics question that I am asking here because I have no ability to calculate the answer myself.
Given a large cubical mass of water ice is deposited on a desert location on Earth, how long would it take to melt?
IDEA SPARK In a SF story, I was considering brining in an icy body, roughly 1 km in diameter, to a desert location to provide water for drinking/irrigation. I'm assuming no radioactivity & dangerous contamination for the icy body: this seems to be a reasonable assumption, from what I have read. The ice contamination (if any) involve dust/rocks, which can just be filtered by the locals if necessary using cloths, etc.
All the details below are just me putting numbers and variations to the core idea.
To extend the core idea, I included ice bodies from glaciers, in recognition of an old, old Saudi plan to ship an iceberg to their land.
EXTERNAL TEMPERATURE To keep it simple, assume a steady environmental temperature of 35 C. No rain.
INTERNAL TEMPERATURES We'll divide the mass by initial location, with a from space (asteroid), and g from the ice cap (glaciers).
Space ice has an initial internal temperature of -100 C. Glacial ice has an initial internal temperature of -20 C.
So, re-categorizing the masses:
- Mass 1s - 100 m diameter, internal temp -100 C;
- Mass 1g - 100 m diameter, internal temp -20 C;
- Mass 2a - 1000 m diameter, internal temp -100 C;
- Mass 2g - 1000 m diameter, internal temp -20 C;
- Mass 3a - 3000 m diameter, internal temp -100 C;
- Mass 3g - 3000 m diameter, internal temp -20 C;
How long would it take, for these masses to melt?