The Churchill-Bernstein equation is a simplification of this to estimate the Nusselt number for a cylinder.
The Churchill-Bernstein equation is a simplification of this to estimate the Nusselt number for a cylinder. Jean Leray proved the existence of a weak solution, and in the continuous limit, the Lattice Boltzmann equation is a (*) solution. The convective acceleration term confers a nonlinear effect, contributing to the difficulty in determining a full solution to this Millenium Problem. Taking the curl eliminates the pressure term from these equations, and further simplification arises when considering only isochoric or Newtonian fluids. For 10 points, name these partial differential equations of fluid dynamics that describe the flow of viscous liquids.
The Churchill-Bernstein equation is a simplification of this to estimate the Nusselt number for a cylinder.
{Navier-Stokes} equations