Derivation of diffusion equation, Stepwise concentration condition Derive a function of concentration C (x, t) by the fo
Posted: Thu Jun 09, 2022 3:22 pm
Derivation of diffusion equation, Stepwise concentration condition Derive a function of concentration C (x, t) by the following equation under the stepwise concentration condition: ac a²c = D at əx² Boundary condition outer C (∞,t) =0 Initial condition C (x, 0) = 0 (0<x) C (x, 0) = Co x≤0 Then, to draw a graph of concentration profile using the following equation: C(x,t) = Co 1 2√nDt. exp (x + 5)²) 4Dt d} According to the below conditions: C/Co Diffusion coefficient: 1.0x109 m²/s Range of distance -0.5≤ x ≤ 0.5 Time: 1week, 1month, 1year, 10 years. x=0 Example graph