points 1 and 2 lie on a streamline, the fluid has constant density, the flow is steady, and there is no friction. Although these restrictions sound severe, the Bernoulli equation is very useful, ...

Computer Proof ‘Blows Up’ Centuries-Old Fluid Equations For more than 250 years, mathematicians have wondered if the Euler equations might sometimes fail to describe a fluid’s flow. A new ...

This equation is called the continuity equation for steady one ... To visualize this in a flow, we could imagine the motion of a small marked element of fluid. For example, we could mark a drop of ...

Researchers at the Department of Energy's Oak Ridge National Laboratory have tested a quantum computing approach to an old ...

Particular emphasis has been placed on the development of reduced pde models from the fundamental fluid equations. Further focus has been placed on the characteristics of coherent structures and their ...

What is the Stokes-Einstein Equation? The Stokes-Einstein equation is a fundamental relation in physics that describes the diffusion of spherical particles through a fluid with low Reynolds number. It ...

Researchers at the Department of Energy’s Oak Ridge National Laboratory tested a quantum computing approach to an old ...

Navier–Stokes equations contain certain quantities known as transport coefficients, which determine how quickly disturbances in the fluid dissipate, meaning how quickly the system returns to ...

The Navier-Stokes equations contain certain quantities, known as transport coefficients, which determine how quickly disturbances in the fluid dissipate, meaning how quickly the system returns to ...

It essentially describes the relationship between the pressure, velocity and elevation of a flowing fluid. In this video we'll look at how the equation can be used, and we'll explore a range of ...