Again assuming a laminar flow, we can involve the problem’s uniformity along the z-axis and its axial symmetry to infer that v=nzv(ρ), and \(\mathcal{P}=-\chi z+f(\rho...Again assuming a laminar flow, we can involve the problem’s uniformity along the z-axis and its axial symmetry to infer that v=nzv(ρ), and P=−χz+f(ρ,φ)+const (where ρ={ρ,φ} is again the 2D radius-vector rather than the fluid density), so that the Navier-Stokes equation (53) for an incompressible fluid (with ∇⋅v=0 ) is reduced to the following 2D Poisson equation: \[\eta \nabla_…
The reason is that the heat current which flows in response to \bnablaT as well as the momentum current which flows in response to \pzV\nsx/\pzz are due to the presence of collisions, whic...The reason is that the heat current which flows in response to \bnablaT as well as the momentum current which flows in response to \pzV\nsx/\pzz are due to the presence of collisions, which result in momentum and energy transfer between particles.