A $1 million prize awaits anyone who can show where the math of fluid flow breaks down. With specially trained AI systems, ...

The Navier-Stokes equations capture in a few succinct terms one of the most ubiquitous features of the physical world: the flow of fluids. The equations, which date to the 1820s, are today used to ...

Perhaps the oldest and most prominent of these equations, formulated by Leonhard Euler more than 250 years ago, describe the flow of an ideal, incompressible fluid: a fluid with no viscosity, or ...

Virial coefficients are fundamental parameters in the statistical description of fluids, encapsulating the effects of molecular interactions on macroscopic thermodynamic properties. Through the virial ...

In pressure relief systems, accurately estimating temperature changes during fluid flow is vital for relief piping ...

Settle-out calculations in natural gas systems need to be sufficiently rigorous accurately to predict settle-out under various operating conditions without being so conservative as to increase costs.