The velocity field of a permanent, incompressible and isothermal flow is given by u = a...

The velocity field of a permanent, incompressible and isothermal flow is given by

u = a (x^2 - y^2)   (1)
v = −2axy   (2)
w = 0    (3)

Gravitational acceleration acts on the z axis only.

a) Write the Navier-Stokes equations for this flow, canceling the appropriate terms
and replacing the non-zero derivatives with their detailed expression. Be sure to indicate
clearly your assumptions. (4 points)

b) From the result obtained in (a), demonstrate that the pressure field is continuous and therefore
physically possible (2 points)

c) Get the expression for the flow pressure field (4 points)

Solutions

Expert Solution

Ally Wells answered 8 months ago

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