4 ms·
Not quite. You can't just derive the equation of state that's equivalent to Bernoulli's principle from Newton's laws. Only for incompressible flow is it a cons
by nimish 7y ago
Not quite. You can't just derive the equation of state that's equivalent to Bernoulli's principle from Newton's laws.
Only for incompressible flow is it a consequence of Newton's second law (NS)
See https://en.wikipedia.org/wiki/Bernoulli%27s_principle#Derivations_of_the_Bernoulli_equation https://en.wikipedia.org/wiki/Bernoulli%27s_principle#Deriva... -- the broader (applies to compressible flow too) derivation is via conservation of energy and mass
- mannykannot 7y agoThat is a fair point, but to be clear, it does nothing to rehabilitate the notion that Newton and Bernoulli provide independent components of lift that have to be added (or, for that matter, that one is right and therefore the other is wrong, which is another common misunderstanding that has shown up elsewhere.)
- nimish 7y agoGreat because I maintain that Newton and Bernoulli are emphatically not independent perspectives and any explanation that ignores one or the other is incomplete :) Glad we agree!
- mannykannot 7y agoWe have been here before :( You can have a complete explanation without Bernoulli, or including it. It is not a necessary component of a rigorous explanation.