Fluid Mechanics and Hydraulic Machinery Miscellaneous
- A large tank with a nozzle attached contains three immiscible, inviscid fluids as shown. Assuming that the changes in h1, h2 and h3 are negligible, the instantaneous discharge velocity is
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Applying Bernoulli’s equation at exit, we get
P1 + gz1 + V1² = P1 + gz2 + V2² ρ3 2 ρ3 2
We know Z1 = Z2, V1 = 0 & P2 = Patm
Hence it reduce toP1 = V2² ρ3 2
Correct Option: A
Applying Bernoulli’s equation at exit, we get
P1 + gz1 + V1² = P1 + gz2 + V2² ρ3 2 ρ3 2
We know Z1 = Z2, V1 = 0 & P2 = Patm
Hence it reduce toP1 = V2² ρ3 2
- The difference in pressure (in N/m2) across an air bubble of diameter 0.001 m immersed in water (surface tension = 0.072 N/m) is_____.
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Surface tension in a bubble = Δp.r 4 we know, Pi – Po = 4T r Δp = 4 × 0.072 = 288 N/m2. 0.01 Correct Option: B
Surface tension in a bubble = Δp.r 4 we know, Pi – Po = 4T r Δp = 4 × 0.072 = 288 N/m2. 0.01
- An inverted U-tube manometer is used to measure the pressure difference between two pipes A and B, as shown in the figure. Pipe A is carrying oil (specific gravity = 0.8) and pipe B is carrying water. The densities of air and water are 1.16 kg/ m3 and 1000 kg/m3, respectively. The pressure difference between pipes A and B is________kPa.
Acceleration due to gravity: g = 10 m/s2
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PA −(ρoil × g × 0.2) − (ρair × g × 0.08) + (ρw × g × 0.38) − PB = 0
Correct Option: A
PA −(ρoil × g × 0.2) − (ρair × g × 0.08) + (ρw × g × 0.38) − PB = 0
Direction: A smooth flat plate with a sharp leading edge is placed along a gas stream flowing at U = 10 m/s. The thickness of the boundary layer at section r – s is 10 mm, the breadth of the plate is 1 m (into the paper) and the density of the gas, ρ = 1.0 kg/m3. Assume that the boundary layer is thin, two-dimensional, and follows a linear velocity distribution, u = U (y/δ), at the section r–s, where y is the height from plate.
- The integrated drag force (in N) on the plate, between p – s, is
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By momentum equation, we can find drag force.
Correct Option: C
By momentum equation, we can find drag force.
- The mass flow rate (in kg/s) across the section q – r is
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Mass entering from side q-p = Mass leaving from side q-r + Mass leaving the side r-s
Correct Option: B
Mass entering from side q-p = Mass leaving from side q-r + Mass leaving the side r-s