EGM 6812 Fluid Mechanics 1 - Fall 20109/17/10, 4thHomework 1.Problem 5.1 from Panton. 2.Using the differential conservation of momentum equation as a starting point, derive the differential kinetic energy equation, 22bVVfVpVt . Hint: start by taking bDVVfpDt, assuming a Newtonian fluid and Stokes’ Assumption. 3.Derive the differential thermal energy equation, DhDpqDtDt, where, iijjuxis the viscous dissipation. 4.Using the incompressibledifferential conservation of momentum equation as a starting point, derive the vorticity transport equation, 2DVDt . Hints: start by taking 2bDVfpVDt . 5.By taking the divergence of the incompressible, constant property N-S equation, obtain an
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