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 ...

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

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 ...