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Unformatted text preview: where A and B are constants to be determined from the boundary conditions. ( ) Dt x erfc c s 2 c s c o c o c s ( ) Dt x erf c o 2 c o c s ( ) ( ) Dt x erf s c o c s c 2 − + Surface Flux ( ) = Dt x erfc c t x c s 2 , Example, an infinite system with zero initial concentration and with its surface concentration maintained at c s , the solution is given by Surface flux, t D c Dt e Dc x c D J s x Dt x s x x π = − − = ∂ ∂ − = = − = = 4 2 1 2 2 Total Amount of Diffusion Dt Dt c dt t D c dt J Q s t s t x ∝ = = = ∫ ∫ = 2...
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- Spring '02
- Boundary value problem, dt, Error function, Dt co cs