Problem 5.2[Difficulty: 2]Given:Velocity fieldsFind:Which are 3D incompressibleSolution:We will check these flow fields against the continuity equation0twzvyuxGoverningEquation:(Continuity equation)Assumption:Incompressible flow (ρis constant)Based on the assumption, the continuity equation reduces to:xuyvzw0This is the criterion against which we will check all of the flow fields.a)uxyzt()2y22xzvxyzt2yz6x2yzwxyzt3x2z2x3y4xzt2zyzt2zzzt2zHencexuyvzw0NOT INCOMPRESSIBLEb)ztxyztztxyzt2ztz2xt2ytxzttyzyztt2xz
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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.