3)[Write down the equations governing the velocity and pressure in the steady, two-dimensional flow of an inviscid, incompressible fluid in which gravity may be neglected. If the fluid is stratified, the density p will depend, in general, on both x and y coordinates. Show that the transformation u* = \pl pou, v* = plpov, %3D in which Po is a constant reference density, transforms these governing equations linto those of a constant density fluid whose velocity components are u* and v*
3)[Write down the equations governing the velocity and pressure in the steady, two-dimensional flow of an inviscid, incompressible fluid in which gravity may be neglected. If the fluid is stratified, the density p will depend, in general, on both x and y coordinates. Show that the transformation u* = \pl pou, v* = plpov, %3D in which Po is a constant reference density, transforms these governing equations linto those of a constant density fluid whose velocity components are u* and v*
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Transcribed Image Text:(3)[Write down the equations governing the velocity and pressure in the steady,
two-dimensional flow of an inviscid, incompressible fluid in which gravity may
be neglected. If the fluid is stratified, the density p will depend, in general, on
both x and y coordinates. Show that the transformation
u* =
Vpl Pou, v* = l pov,
in which Po is a constant reference density, transforms these governing equations
linto those of a constant density fluid whose velocity components are u* and v*.
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