First slide
Fluid dynamics
Question

An ideal fluid is flowing through the given tubes which is placed on a horizontal surface. If the liquid has velocities VA and VB, and pressures PA and PB at points A and B respectively, then the correct relation is (A and B are at same height from ground level, the figure shown is as if the system is seen from the top):

Moderate
Solution

Applying continuity equation:

        V1A1 = V2A2

         A1 = A2 so V1 = V2

Applying Bernoulli's equation:

P1+ρgh1+12ρv12 = P2+ρgh2+12ρv22

since v1 = v2; and h1 = h2

P1 = P2

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