After reading Wikipedia articles on advection and convection, I still cannot determine whether there is a consensus on a difference between these two terms. Sometimes, the term …

convection = diffusion + advection. That is, convection is the sum of fluid movement due to bulk transport of the media (like the water in a river flowing down a stream - advection) and the …

Apr 1, 2018 · Whereas advection is the transport of a substance by bulk motion;that is the movement of fluids down a pressure or temperature gradient. My confusion is that: when there …

Jan 20, 2015 · Your math is correct, (u ⋅ ∇)u ≡ u ⋅(∇u) (u ⋅ ∇) u ≡ u ⋅ (∇ u). This should make sense because the commutative property holds for dot products. Personally, I prefer to view u ⋅ ∇ u ⋅ …

Apr 13, 2021 · For a 3D flow, the advection term in the x-momentum equation is −∇ ⋅ (ρuu ) − ∇ ⋅ (ρ u u →). How does momentum flow in the y and z directions contribute to the momentum flux …

where ϕ ϕ is property per unit mass, u u → is velocity vector and Γ Γ is diffusive term (Like viscosity or thermal conductivity). What I can't understand is the use of the terms "convective" …

Diffusion is an important concept in elementary science education, especially because it supports (or seems to support) the notion of matter consisting of very small everyday particles (as …

Jul 19, 2020 · Context: Consider the advection-diffusion equation with periodic boundary conditions (PBC) over a flat square domain L × L. The scalar density ρ is transported by a …

Now with regards to the actual question, how can we show that this is an advection equation. Advection simply is the transport of some material along a fluid flow.

Oct 30, 2021 · In this Wikipedia article, specifically in the section "Mathematics of advection", the following general equation for advection is given as: \begin {equation} \dfrac {\partial\psi} …