Question

Find the acceleration vector field for a fluid flow that possesses the following velocity field

Evaluate the acceleration at (2,-1,3) at t = 2 s and find the magnitude of j component? The density variation with elevation is given by p(z)=1000 (1-z/4) kg/m³. At a location where velocity vector V = 10 i + 10 k m/s, find Dp/Dt (kg/m³.s). The 30°C water exiting a 5.6 cm diameter faucet has an average velocity of 2 m/s.Calculate the Reynolds number to find whether the flow is laminar or turbulent. Estimate the pressure p₁ (pa) if V₂ = 20 m/s and H = 10 cm,

The pump shown in the figure creates a flow such that V = 12.9 m/s. Predict the pressure (pa) at the gage assuming an inviscid flow in the entrance and a uniform flow at the gage. Use once a streamline starting at point A and another starting at point B.

The velocity V₂ downstream of a sluice gate is assumed to be uniform. If h = 2 m and H= 6.5 m, find V₂ (m/s) using once a streamline along the top and another along the bottom.

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