The convection–diffusion equation is a parabolic partial differential equation that combines the diffusion and convection (advection) equations. It describes...

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...

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

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

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

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...

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

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

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

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

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

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

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

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

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

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

"pulse" of ink will also spread via diffusion. The sum of these processes is called convection. The advection equation for a conserved quantity described...

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

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

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

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...

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

general form of the insulating boundary condition for convection–diffusion equations. Here, the convective and diffusive fluxes at the boundary sum to zero:...

Camassa–Holm equation Chaplygin's equation Continuity equation for conservation laws Convection–diffusion equation Double diffusive convection Davey–Stewartson...

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

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

principle Convection–diffusion equation Uniformity of nature Advection Mass conservation, or Continuity equation Charge conservation Euler equations (fluid...

In convective heat transfer, the Churchill–Bernstein equation is used to estimate the surface averaged Nusselt number for a cylinder in cross flow at various...