The disc is made of a sparingly soluble solute a that, Ask an Expert

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The disc is made of a sparingly soluble solute A that slowly dissolves in the flowing solvent B. The saturation concentration is found to be the saint everywhere on the disc's surface (c_As) and concentration of the solute can be assumed to be negligible far away from the disc. Z component of the velocity is given as V_Z = -aZ² where c/D_AB = 3 and D_AB = constant. The dissolution will reach a steady state when the disc is rotating slowly. Assume that the disc is extremely wide so that concentration does not vary with r.

(a) Determine the molar concentration distribution for species A, c_A. You may need to use appendix hum the textbook or a math handbook to solve the differential equation.

(b) What is the local molar flux at the disc surface?

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