Problem 5.1[Difficulty: 1]Given:The list of velocity fields provided aboveFind:Which of these fields possibly represent two-dimensional, incompressible flowSolution:We will check these flow fields against the continuity equation0twzvyuxGoverningEquations:(Continuity equation)Assumptions:(1) Incompressible flow (ρis constant)(2) Two dimensional flow (velocity is not a function of z)Based on the two assumptions listed above, the continuity equation reduces to:xuyv0This is the criterion against which we will check all of the flow fields.a)uxyt()2x2y2x2yvxytx3xy24yxt4x2xyytx2y4Hencexuyv0INCOMPRESSIBLEb)t2xyx2yt2xyy2x2xt2yyyt
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This note was uploaded on 10/19/2011 for the course EGN 3353C taught by Professor Lear during the Fall '07 term at University of Florida.