Bernoulli's equation is a simple but incredibly important equation in physics and engineering that can help us understand a ...

Korteweg modeled the dynamics of fluids in which there is not only dissipation of energy (which is characterized by the Navier-Stokes equations), but also dispersion, or the smearing of energy into ...

The equations work. They describe fluid flows as reliably as Newton’s equations predict the future positions of the planets; ... (known as the “energy inequality”).

“It’s simply not possible to describe fluids by the Navier-Stokes equations as people had thought.” In 1934, the mathematician Jean Leray discovered a novel class of solutions. These solutions could ...

This all comes back to one of the $1 million Millennium Prize problems, with mathematicians so far unable to construct a model of fluid dynamics to help solve this kind of problem.

Tests for a proposed friction-factor equation have shown it to be accurate for calculating pressure loss in turbulent flow for a non-Newtonian fluid. Click on the pdf link below to view entire ...