The equation of change for vorticity (a) By taking the curl of the Navier-Stokes equation of motion
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The equation of change for vorticity
(a) By taking the curl of the Navier-Stokes equation of motion (in either the D/Dt form or the ?/?t form), obtain an equation for the vorticity, w = [? x v] of the fluid; this equation may be written in two ways in which ? is a third-order tensor whose components are the permutation symbol ?ijk (see SA.2) and v = ?/p is the kinematic viscosity.
(b) How do the equations in (a) simplify for two-dimensional flows?
Transcribed Image Text:
D₁w = v²w + [w • [v] D Dt W vVw+le: (Vv). (Vv)|
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Method I Start with the NavierStokes equation in the DDtform but rearranged thus v t w ...View the full answer
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