Question

Can the continuity equation and Bernoulli contradict each other?

Answer 1

This is impossible without cavitation occurring. We may proceed in one of two ways: either the assumption that both pipes run full is erroneous and the larger top pipe must run partially full, or the air bubbles formed from cavitation, being lighter than water, will rise to the top pipe. Both of these effectively have the same result: the top pipe can only be partially full.

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Answer 2

Answer:

This is impossible without cavitation occurring. We may proceed in one of two ways: either the assumption that both pipes run full is erroneous and the larger top pipe must run partially full, or the air bubbles formed from cavitation, being lighter than water, will rise to the top pipe. Both of these effectively have the same result: the top pipe can only be partially full.

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