fluid-dynamics

I realize that this question is both speculative and subjective, but here goes. The Navier-Stokes existence and smoothness problem is perhaps the most famous and (generally considered to be) the most important open problem in the mathematical field of partial differential equations (PDEs). It is one of the Millenium Prize problems , considered to be among the most important open problems in math.…

This paper introduces a novel relational ontology of space-time to resolve the fundamental contradictions between Newtonian macrophysics, quantum mechanics, and Einstein’s General Relativity. Rejecting the static constant of the speed of light and the concept of infinite gravitational singularities, the author demonstrates that time is not given a priori but generated strictly locally as a viscou…

Thirteen years ago, I made a prediction that work on how to avoid urinal splashback would win an Ig Nobel Prize. Today, I am, at last, vindicated. Randy Hurd, Zhao Pan, Tadd Truscott, and Kaveeshan Thurairajah shared the 2026 Ig Nobel Prize in Physics for their work designing a splash-free urinal. The culmination of this […]

i know when an electric current flows around a sharp bend or a wire junction, the direction of the moving electrons changes rapidly. Since the electrons have mass, their linear momentum changes direction, what provides the external force to change the direction? This means that the momentum is not conserved even though my voltage and current is constant.

Conflicting calculations previously predicted whether motion should generate viscous force on massive objects with charged internal components. Now, discrepancies between established physical frameworks have been resolved by identifying defects within conventional approaches and refining Newtonian dynamics using special relativity. This provides improved methodology for modelling complex systems …

I am trying to do some car calculations for a game. I have a tyre (radius $r$ , inertia $I$ ) rotating around its axle with an angular velocity $\omega$ faster than the centre of mass is moving across the surface. So the tyre is not rolling along the ground, but slipping. The surface has a friction coefficient $\mu$ . The car presses the tyre with a weight of $N$ . I need to calculate two things.…

Nature, Published online: 02 September 2026; doi:10.1038/s41586-026-10986-7 A new framework combining experimental and computational methods to track ions and water present at an electrode interface allows the molecular structure and evolution of electrical double layers far from equilibrium to be discovered.

Nature Communications, Published online: 02 September 2026; doi:10.1038/s41467-026-77281-x The hydrodynamic class of a microswimmer- pusher, puller, or neutral is fixed during fabrication, limiting exploration of adaptive behaviors. The authors show that the hydrodynamic flow field of a synthetic microswimmer can be dynamically programmed and switched in real time using structured laser heating, …

Spacecraft famously have small bits of them disintegrate on reentry. That’s by design, as it is one of the easiest solutions to absorbing the incredible amounts of energy they experience. However, it also results in long turn around times while these heat shields are repaired, and the shields themselves act as “dead weight” limiting payload capacity. With the increased focus on reusable rockets, …

What's the formula that relates the dimensions of the tanks, the water levels and the pipes to the time it takes to reach steady state once the connecting valve is opened? As an example, assume the tanks are identical cylinders with a 1ft radius and 2ft high. At the start, the first tank is full (24in) and the second tank is empty (0in). At steady state, the water level in both is 12in. Assume th…

Im trying to create a collision simulation, for that im trying to understand the Impulse-based reaction mode item in the Collision Response article in Wikipedia, I know reading Wikipedia is not the best way to learn, but im trying to get the simple. I would like if someone explained me what is the $e$ and the $\hat n$ quoted in the article.

Scientific Reports, Published online: 02 September 2026; doi:10.1038/s41598-026-69210-1 Retraction Note: Heat transfer analysis of Cu and Al 2 O 3 dispersed in ethylene glycol as a base fluid over a stretchable permeable sheet of MHD thin-film flow

To advance understanding of turbulence, the National Science Foundation is establishing a new, $30 million Science and Technology Center (STC) at Michigan State University. Georgia Tech is among eight universities supporting the center.