Fluid Mechanics and Hydraulic Machinery Miscellaneous


Fluid Mechanics and Hydraulic Machinery Miscellaneous

Fluid Mechanics and Hydraulic Machinery

  1. 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
    ρ32ρ32

    We know Z1 = Z2, V1 = 0 & P2 = Patm
    Hence it reduce to
    P1
    =
    V2²
    ρ32

    Correct Option: A

    Applying Bernoulli’s equation at exit, we get

    P1
    + gz1 +
    V1²
    =
    P1
    + gz2 +
    V2²
    ρ32ρ32

    We know Z1 = Z2, V1 = 0 & P2 = Patm
    Hence it reduce to
    P1
    =
    V2²
    ρ32


  1. 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



  1. 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.

  1. 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.



  1. 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