The convection–diffusion equation is a combination of the diffusion and convection (advection) equations, and describes physical phenomena where particles...

The diffusion equation is a special case of the convection–diffusion equation when bulk velocity is zero. It is equivalent to the heat equation under...

The convection–diffusion equation describes the flow of heat, particles, or other physical quantities in situations where there is both diffusion and...

numerical solutions to differential equations. It is one of the schemes used to solve the integrated convection–diffusion equation and to calculate the transported...

for the diffusion coefficient, D. Fick's first law can be used to derive his second law which in turn is identical to the diffusion equation. Fick's first...

Continuity equations underlie more specific transport equations such as the convection–diffusion equation, Boltzmann transport equation, and Navier–Stokes...

by a convection–diffusion equation. A diffusion process is a Markov process with continuous sample paths for which the Kolmogorov forward equation is the...

Continuum mechanics Convection–diffusion equation Derivation of the Navier–Stokes equations Einstein–Stokes equation Euler equations Hagen–Poiseuille flow...

as the Smoluchowski equation (after Marian Smoluchowski), and in this context it is equivalent to the convection–diffusion equation. When applied to particle...

See also convection–diffusion equation. The equation is a nonlinear integro-differential equation, and the unknown function in the equation is a probability...

convective heat transfer involves the combined processes of conduction (heat diffusion) and advection (heat transfer by bulk fluid flow). Convection is...

Burgers' equation or Bateman–Burgers equation is a fundamental partial differential equation and convection–diffusion equation occurring in various areas...

dynamics there are many solution methods for solving the steady convection–diffusion equation. Some of the used methods are the central differencing scheme...

the upstream node. It can be described by Steady convection-diffusion partial Differential Equation:: 103 [circular reference] ∂ ∂ t ( ρ ϕ ) + ∇ ⋅ ( ρ...

Anomalous diffusion – Diffusion process with a non-linear relationship to time Convection-diffusion equation – Combination of the diffusion and convection (advection)...

density. This process generates diffusion current. Alternating current Conduction band Convection–diffusion equation Direct current Drift current Free...

(neutron diffusion theory) and ecology. Mathematically, reaction–diffusion systems take the form of semi-linear parabolic partial differential equations. They...

transport of substances by molecular diffusion. Advection is sometimes confused with the more encompassing process of convection, which is the combination of...

conduction Convection diffusion equation R-value (insulation) Heat pipe Fick's law of diffusion Relativistic heat conduction Churchill–Bernstein equation Fourier...

The Levich equation models the diffusion and solution flow conditions around a rotating disk electrode (RDE). It is named after Veniamin Grigorievich...

solutions to the Smoluchowski convection-diffusion equation, which is a singularly perturbed second-order differential equation. The problem has been studied...

False diffusion is a type of error observed when the upwind scheme is used to approximate the convection term in convection–diffusion equations. The more...

appear. Convection-diffusion equation Bénard cells Churchill–Bernstein equation Combined forced and natural convection Double diffusive convection Forced...

analytical solution of the convection diffusion equation. This scheme is also very effective in removing False diffusion error. The power-law scheme...

conductivities Convection diffusion equation R-value (insulation) Heat pipe Fick's law of diffusion Relativistic heat conduction Churchill–Bernstein equation Fourier...

Buckley–Leverett equation Camassa–Holm equation Chaplygin's equation Continuity equation for conservation laws Convection–diffusion equation Double diffusive...

general equation for steady diffusion can easily be derived from the general transport equation for property Φ by deleting transient and convective terms...

the particle diffusion equation holds true and the diffusion coefficient D the speed of diffusion in the particle diffusion equation is independent...

Smoluchowski convection-diffusion equation or two-body Smoluchowski equation with shear flow. An approximate analytical solution to the Smoluchowski convection-diffusion...

"natural convection". All convective processes also move heat partly by diffusion, as well. Another form of convection is forced convection. In this case...