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  2. Convection–diffusion equation - Wikipedia

    en.wikipedia.org/wiki/Convectiondiffusion...

    The convectiondiffusion equation can be derived in a straightforward way [4] from the continuity equation, which states that the rate of change for a scalar quantity in a differential control volume is given by flow and diffusion into and out of that part of the system along with any generation or consumption inside the control volume: + =, where j is the total flux and R is a net ...

  3. Finite volume method for three-dimensional diffusion problem

    en.wikipedia.org/wiki/Finite_volume_method_for...

    Convection is always followed by diffusion and hence where convection is considered we have to consider combine effect of convection and diffusion. But in places where fluid flow plays a non-considerable role we can neglect the convective effect of the flow. In this case we have to consider more simplistic case of only diffusion.

  4. Finite volume method for two dimensional diffusion problem

    en.wikipedia.org/wiki/Finite_volume_method_for...

    The methods used for solving two dimensional Diffusion problems are similar to those used for one dimensional problems. The general equation for steady diffusion can be easily derived from the general transport equation for property Φ by deleting transient and convective terms [1]

  5. Numerical solution of the convection–diffusion equation

    en.wikipedia.org/wiki/Numerical_solution_of_the...

    The convectiondiffusion equation describes the flow of heat, particles, or other physical quantities in situations where there is both diffusion and convection or advection. For information about the equation, its derivation, and its conceptual importance and consequences, see the main article convectiondiffusion equation. This article ...

  6. Hybrid difference scheme - Wikipedia

    en.wikipedia.org/wiki/Hybrid_difference_scheme

    The hybrid difference scheme [1] [2] is a method used in the numerical solution for convectiondiffusion problems. It was introduced by Spalding (1970). It is a combination of central difference scheme and upwind difference scheme as it exploits the favorable properties of both of these schemes.

  7. Equimolar counterdiffusion - Wikipedia

    en.wikipedia.org/wiki/Equimolar_counterdiffusion

    Molecular diffusion occurs in gases, liquids, and solids. Diffusion is a result of thermal motion of molecules. Usually, convection occurs as a result of the diffusion process. The rate at which diffusion occurs depends on the state of the molecules: it occurs at a high rate in gases, a slower rate in liquids, and an even slower rate in solids.

  8. Fick's laws of diffusion - Wikipedia

    en.wikipedia.org/wiki/Fick's_laws_of_diffusion

    Fick's first law relates the diffusive flux to the gradient of the concentration. It postulates that the flux goes from regions of high concentration to regions of low concentration, with a magnitude that is proportional to the concentration gradient (spatial derivative), or in simplistic terms the concept that a solute will move from a region of high concentration to a region of low ...

  9. Power law scheme - Wikipedia

    en.wikipedia.org/wiki/Power_law_scheme

    The power-law scheme [1] [2] interpolates the face value of a variable, , using the exact solution to a one-dimensional convection-diffusion equation given below: =In the above equation Diffusion Coefficient, and both the density and velocity remains constant u across the interval of integration.

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