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(Solved): PROBLEM SET NO. 3 - Mathematical Model of Fluid Motion Does the velocity distribution q=5\xi +5yj-10 ...
PROBLEM SET NO. 3 - Mathematical Model of Fluid Motion
Does the velocity distribution q=5\xi +5yj-10zk satisfy incompressible flow?
Show that the velocity q=(4x)/(x^(2)+y^(2))i+(4y)/(x^(2)+y^(2))j satisfies continuity at every point
except the origin
The x component of velocity is u=x^(2)+z^(2)+5 and the y component
is v=y^(2)+z^(2). Find the simplest z component of velocity that satisfies continuity.
For steady incompressible flow, are the following values of u and v possible?
(a) u=4xy+y^(2),v=6xy+3x
(b) u=2x^(2)+y^(2),v=-4xy
Under what condition will the velocity field be incompressible?
V=(a_(1)x+b_(1)y+c_(1)z)i+(a_(2)x+b_(2)y+c_(2)z)j+(a_(3)x+b_(3)y+c_(3)z)k
a_(1),b_(1),c_(1),a_(2),b_(2),c_(2),a_(3),b_(3),c_(3) are constants