GATE XE (Engineering Sciences) 2025 - Question 40

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Section: Fluid Mechanics | Type: NAT | Marks: 2

A fixed control volume has four one-dimensional boundary sections (1, 2, 3, and 4). For a steady flow inside the control volume, the flow properties at each section are tabulated below: Boundary Section Type Density (kg/m3) Surface Normal Velocity (m/s) Cross-sectional Area (m2) Specific Energy (J/kg) 1 Inlet 1000 10 0.5 200 2 Inlet 1000 2 3.0 50 3 Outlet 1000 5 1.0 100 4 Outlet 1000 4 1.5 80 The rate of change of energy of the system which occupies the control volume at this instant is 𝐸× 106 J/s. The value of 𝐸 (rounded off to 2 decimal places) is ________

Answer: -0.32

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