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Team:Valencia UPV/prueba
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<p>The <strong>diffusion equation</strong> is a <a class="emphasize">partial differential equation</a> which describes density dynamics in a material undergoing diffusion. It is also used to describe processes exhibiting diffusive-like behavior, like in our case.</p><br/> | <p>The <strong>diffusion equation</strong> is a <a class="emphasize">partial differential equation</a> which describes density dynamics in a material undergoing diffusion. It is also used to describe processes exhibiting diffusive-like behavior, like in our case.</p><br/> | ||
<p>The equation is usually written as:</p><br/> | <p>The equation is usually written as:</p><br/> | ||
| - | <p>where ϕ(r, t) is the density of the diffusing material at location r and time t and D(ϕ, r) is the collective diffusion coefficient for density ϕ at location r; and ∇ represents the vector differential operator del. | + | <p>where ϕ(r, t) is the density of the diffusing material at location r and time t and D(ϕ, r) is the collective <a class="emphasize">diffusion coefficient</a> for <a class="emphasize">density</a> ϕ at location r; and ∇ represents the vector <a class="emphasize">differential operator del</a>. |
</p> | </p> | ||
Revision as of 16:53, 24 September 2014
Diffusion
The diffusion equation is a partial differential equation which describes density dynamics in a material undergoing diffusion. It is also used to describe processes exhibiting diffusive-like behavior, like in our case.
The equation is usually written as:
where ϕ(r, t) is the density of the diffusing material at location r and time t and D(ϕ, r) is the collective diffusion coefficient for density ϕ at location r; and ∇ represents the vector differential operator del.
