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Unformatted text preview: from a pipe in the space lled with the same liquid, cf. gure 2) in a half-plane x > 0,- < y < + : uu x + v u y = u yy , u x + v y = 0 , | u | , y . Here ( u,v ) is the velocity eld with ( x,y )-components, respectively. ME220A 2 u v Figure 2: Submerged jet. Problem 6. Using ane transforms, nd the solution for an axisymmetric drop spreading on a at surface, cf. gure 3, described by the following equation h t = 2 3 r r rh 3 h r , with the boundary condition h = 0 at r = and a mass conservation condition, i.e. mass of the drop should be constant. Make use of a physically relevant conservation law. Determine short and long-time behavior of the solution. h(r,t) r h(r,t) Figure 3: Spreading drop....
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This note was uploaded on 12/29/2011 for the course ME 152 taught by Professor Krechet during the Fall '10 term at UCSB.
- Fall '10