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Question: apply the four approaches as flows in the form of...

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Apply the four approaches as flows in the form of or similar form to shown below to derive the Navier-Stokes equation for compressible a(m+v.Gou@u)--Vp + μ|νu + î viv.u) (pu) 4%(ρυ@u)--VP + μ| νu +-V(V.u)|+pg And then further rearrange the equation for incompressible flows. Eulerian description (Conservation form) Lagrangian description (Non-conservation form) omu Dmu Dr nite control Integral form: volume fixed in space Finite control mass flowing with flow Differential form Infinitesimally small elemeut fixed in space Infinitesimally small fluid element of fixed mass c fluid particke) moving with the flow Figure 1: Four approaches for deriving the momentum equation.

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