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A fluid is in steady motion in the conduit shown. The lines depicted are tangent to the velocity of the fluid particles in the conduit (these lines are called streamlines). Explain whether or not the control volume defined by the cross sections A and B in the figure is consistent with the assumptions laid out in this section.

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The control volume defined in the figure is not consistent with the assumptions laid out in this section. The theory presented demands that cross sections be perpendicular to the velocity of the fluid particles. In this case the cross section should be perpendicular to each streamline.

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