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For the flow of an incompressible viscous fluid and an axial flow in cylindrical pipe v = v(p)ê‚, one side of the Navier-Stokes equation gives %3D v(V x v) = 0. Show that the displayed equation, i.e. V(V × v) = 0, leads to the differential equation 1 dv = 0. p? dp 1 d d?v p dp (" dp2)

For the flow of an incompressible viscous fluid and an axial flow in cylindrical pipe v = v(p)ê‚, one side of the Navier-Stokes equation gives %3D v(V x v) = 0. Show that the displayed equation, i.e. V(V × v) = 0, leads to the differential equation 1 dv = 0. p? dp 1 d d?v p dp (" dp2)

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For the flow of an incompressible viscous fluid and an axial flow in cylindrical pipe v = v(p)ê,, one side of the Navier-Stokes equation gives v:(7 x v) = 0. Show that the displayed equation, i.e. V²(V × v) = 0, leads to the differential equation 1 d d?v° 1 dv = 0. p dp dp2 p² dp
Transcribed Image Text:For the flow of an incompressible viscous fluid and an axial flow in cylindrical pipe v = v(p)ê,, one side of the Navier-Stokes equation gives v:(7 x v) = 0. Show that the displayed equation, i.e. V²(V × v) = 0, leads to the differential equation 1 d d?v° 1 dv = 0. p dp dp2 p² dp
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