

They arise from applying Isaac Newton's second law to fluid motion, together with the assumption that the stress in the fluid is the sum of a diffusing viscous term (proportional to the gradient of velocity) and a pressure term-hence describing the viscous flow. They are sometimes accompanied by an equation of state relating to pressure, temperature and density. The Navier–Stokes equations mathematically express momentum balance and conservation of mass for Newtonian fluids. They were developed over several decades of progressively building the theories, from 1822 (Navier) to 1842-1850 (Stokes). The Navier–Stokes equations are partial differential equations which describe the motion of viscous fluid substances, named after the French engineer and physicist Claude-Louis Navier and Anglo-Irish physicist and mathematician George Gabriel Stokes. More resourcesĪnd now for something completely different You can read the Steering Council communication about it here to learn more. In previous pre-releases but it has been postponed to Python 3.11 due to some compatibility concerns.

