Effects of inertia in forced corner flows

摘要: When viscous fluid is contained in the corner between two planes intersecting at an 0 angle a, a flow may be ‘forced’ either by relative motion of keeping constant (the ‘paint-scraper ’ problem- Taylor 1960) or rotation about their line intersection hinged-plate problem -Moffatt 1964). In case, similarity solution available describing sufficiently near corner, where inertia forces are negligible. this paper, we investigate effects forces, constructing regular perturbation series for stream function, which leading term known solution. The first-order inertial effect obtained analytically, and, with = Qn, 25 terms wall stress generated numerically. Analysis coefficients suggests that radius convergence given r 1 U( /v z 9.1, distance from U speed planes, and v kinematic viscosity fluid. For problem, discussed 5 5, unsteadiness contributes to explicitly incorporated analysis. both problems, streamline plots presented indicate first influence distances these become significant.