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Kinetic energy of a fluid flow can be computed by
II 5 pu · vdV, where p(x, y, z) and v(x, y, z)
V
are the pointwise fluid density and velocity, respectively. Fluid with uniform density 1 flows in the
domain bounded by x2 + z? = 7 and 0 < y <
-. The velocity of parabolic flow in the given
domain is v(x, y, z) = (7 – x² –- z²)j. Find the kinetic energy of the fluid flow.
Answer:
Transcribed Image Text:Kinetic energy of a fluid flow can be computed by II 5 pu · vdV, where p(x, y, z) and v(x, y, z) V are the pointwise fluid density and velocity, respectively. Fluid with uniform density 1 flows in the domain bounded by x2 + z? = 7 and 0 < y < -. The velocity of parabolic flow in the given domain is v(x, y, z) = (7 – x² –- z²)j. Find the kinetic energy of the fluid flow. Answer:
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