After the work of Navier, the Navier-Stokes equation was re-obtained by different arguments by numerous investigators. We have chosen to revisit the approaches of Navier not only because they were ...

The following is an extract from our Lost in Space-Time newsletter. Each month, we hand over the keyboard to a physicist or mathematician to tell you about fascinating ideas from their corner of the ...

A new proof marks major progress toward solving the Kakeya conjecture, a deceptively simple question that underpins a tower of conjectures. Computer Proof ‘Blows Up’ Centuries-Old Fluid Equations For ...

Researchers share a model that identifies the optimal location for bowling ball placement. Employing a system of six differential equations derived from Euler's equations for a rotating rigid body, ...

Abstract: Real time fluid animation remains challenging interesting area of research because of a number of problems that vary from high computational cost of the simulation to numerical viscosity. In ...

Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. A residual entropy scaling (RES) approach combined with the cubic equation of state ...

Tests of a proposed friction-factor equation have shown it to be accurate for calculating pressure loss in turbulent flow for a pipeline transporting a non-Newtonian fluid, such as most crude oils and ...

Have you ever wondered about the magic behind the formation of raindrops or picturesque snowflakes? Or maybe about the creation of the otherworldly rings surrounding Saturn? These processes are all ...

ABSTRACT: This study examines the mathematical foundations of the Euler and Navier-Stokes equations of fluid dynamics, identifying some inconsistencies in the mathematical definitions of flow velocity ...

This study examines the mathematical foundations of the Euler and Navier-Stokes equations of fluid dynamics, identifying some inconsistencies in the mathematical definitions of flow velocity and the ...

Have you ever wondered why water flows the way it does or how aircraft are able to fly? The answer lies in the study of fluid mechanics. In this overview of fluid mechanics, you’ll learn the basics of ...