Question: (a) A 2-D concentration field is given by C(x,y) = - sin(x) cos(y). Show the concentration gradient field in this 2D plane. (b) The general

(a) A 2-D concentration field is given by C(x,y) = - sin(x) cos(y). Show the concentration gradient field in this 2D plane.

(b) The general diffusion response for a 2D lattice is:

J1 = D11 C/x1 D12 C/x2

J2 = D21 C/x1 D22 C/x2

Using the concentration gradient of part (a), derive the flux for

(i) square lattice and

(ii) rectangular lattice.

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