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Bernoulli’s equation

Resonance, 2000
In a forthcoming article we will look at some examples of the application of Bernoulli’s equation. From this article I hope the reader has developed a feel for some aspects of fluid motion: the concept of a fluid particle, the two types of fluid acceleration and how motion in one part of the fluid causes motion in other parts of the fluid.
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Bernoulli’s Equation

2010
The Bernoulli equation can be viewed as an energy law. It relates blood pressure (P) to flow velocity (v). Bernoulli’s law says that if we follow a blood particle along its path (dashed line in left Figure in the box) the following sum remains constant: $$ P+{\scriptscriptstyle \raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$2$}\right.}\cdot r\cdot {
Nicolaas Westerhof   +2 more
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Matrix Bernoulli equations. II

Russian Mathematics, 2008
In this paper, we find sufficient conditions for the solvability by quadratures of J. Bernoulli's equation defined over the set M2 of square matrices of order 2. We consider the cases when such equations are stated in terms of bases of a two-dimensional abelian algebra and a three- dimensional solvable Lie algebra over M2.
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