Problem 3: Consider the limit of Stokes flow, Re → 0, and small transmembrane velocity € < 1. Find a solution to equations (6)-(8). HINT: Start with equation (8) to argue

that p≈ p(x). Then use equation (7) to find a separable solution for u(x, y). As a boundary condition, use the fact that the mean non- dimensional streamwise flow at x = 0 must be unity, ½₁ody=1₁ Then, use equation (6) to solve for v. Finally, ask yourself "how can I solve for p?" (9)