Unformatted text preview: x=0 (boundary condition) C p = C p,2 t>0 x=L (boundary condition) (a) (1 pt) Consider the diffusion of the drug in the x direction only. Show that the above diffusion equation takes the form ! 2 C p ! x 2 = 1 D p ! C p ! t . (b) (9 pts) Solve the equation in (a) using the method of separation of variables. Show that the general solution (using the principle of superposition) is given by C p = C p,1 + (C p,2 ! C p,1 ) x L + B n Sin( n " x L )e ! D p n 2 2 t L 2 n = 1 # $ n = 1,2, 3. ... Provide an equation that can be used to estimate the constants B n . C p,1 x=0 x=L C p,2 L x...
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This note was uploaded on 04/03/2011 for the course BIM 107 taught by Professor Raychaudhari during the Winter '11 term at UC Davis.
- Winter '11