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diffusion equation

   Also found in: Wikipedia 0.02 sec.
diffusion equation [də′fyü·zhən i′kwā·zhən]
(physics)
An equation for diffusion which states that the rate of change of the density of the diffusing substance, at a fixed point in space, equals the sum of the diffusion coefficient times the Laplacian of the density, the amount of the quantity generated per unit volume per unit time, and the negative of the quantity absorbed per unit volume per unit time.
More generally, any equation which states that the rate of change of some quantity, at a fixed point in space, equals a positive constant times the Laplacian of that quantity.


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Figure 6 shows the prediction of fluid migrating into a pinion seal, with its partially cylindrical geometry, as described by the solution to the diffusion equation (equation 2).
Starting with a mathematical description of the population density for a given map, they used a computer to solve the diffusion equation through a step-by-step process.
We obtained this rate by solving one-dimensional diffusion equation inside a breast implant shell (5-7 g) exposed to an infinite sink (the body) using estimated values of the diffusivity (5.
 
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