Why it leaks at altitude
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What happens on the climb
A cabin is pressurized to an altitude rather than to sea level, so the air outside the bottle becomes thinner than the air that was sealed inside it. The trapped air expands and pushes against the closure.
Which direction the leak goes
Outward, on the way up. That is the opposite of what people expect, because the intuition is that something is being squeezed. Nothing is squeezing it; the restraint outside has been reduced.
Headspace is the variable you control
More trapped air means more expansion and more force on the closure. Filling to a consistent level below the shoulder leaves less air to expand and is the cheapest improvement available.
And it goes the other way on descent
The outside pressure rises again and a bottle that vented on the climb now draws in, which is how a travel bottle ends up with a partial vacuum and a stiff flip top. Both directions stress the same part.
Temperature compounds it
A bag in a hold is cold and a bag in a car is hot, and both change the internal pressure independently of altitude. A product that only ever sees one of those conditions has only been half tested.
Thin liquids find smaller gaps
Everything on this shelf is a thin liquid by definition, which is the hardest case for a marginal seal. A lotion that would bridge a small gap and a shampoo that foams through it behave quite differently.
So test the change, not the bottle
Filled and closed, laid on its side, exposed to a reduced external pressure. That reproduces the actual condition, and it is the only test that tells you anything about a travel bottle.