The air current
The aim is to allow evaporation in a damp atmosphere which will be well ventilated.
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If you hang a porous jug (also known as alcarazas) or a flask with a damp cloth around it in the path of an even air current you can lower temperature. This process is antique and was commonly used by our ancients.
In the ground
To keep your food in a cool atmosphere you will have to build a small refrigerator. Dig a hole in a naturally cool and damp soil if possible, make sure that the soil is permeable.
Look for places where the vegetation is dense, where the grass is greener or where mint, moss or rush grow more easily than grass.
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Cover the bottom and the sides with a thick layer of green grass, moss, fern and pine needles that you will wet thoroughly.
Put the food in aluminium billycans or stainless steel. Cover with a canvas of green branches, loose enough to enable evaporation. The aim of that canvas is to protect from the sun and create a shady area.
As long as you keep the refrigerator damp it will work. If it gets too dry humidify the lot.
Drinks, fruits and vegetables can be easily kept that way !