Fluid Mechanics...

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  • Question 1
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    When a dolphin glides through air, it experiences an external pressure of 0.75 m of mercury. The absolute pressure on dolphin when it is 5 m below the free surface of the water is 

  • Question 2
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    Calculate the capillary rise or fall in a glass tube of 2.5 mm diameter when immersed vertically in mercury. Take surface tension σ = 0.52 N/m for mercury in constant with glass and angle of contact = 130° 

  • Question 3
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    Velocity profile over a curved surface is given as : \(\frac{u}{U} = 2{\left( {\frac{y}{\delta }} \right)^2} - {\left( {\frac{y}{\delta }} \right)^3}\)

    The flow ______

  • Question 4
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    The value of friction factor is misjudged by 25% in using Darcy-Weisbach equation. The resulting error in the discharge will be?

  • Question 5
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    A centrifugal pump lifts 0.0125 m3 / s of water from a well with a static lift of 30 m. If the brake power of the driving electric motor is 5 kW, what is the overall efficiency of the pump-set?

  • Question 6
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    Which of the following conditions is true regarding the validity of Pascal’s Law?

    I- It is valid for ideal fluid in motion.

    II- It is valid when real fluids with rigid body motion.

  • Question 7
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    A head loss in 100 m length of a 0.1 m diameter pipe (f=0.02) carrying water is 10 m. The boundary shear stress in Pa is ____

  • Question 8
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    Which of the following represents generalised continuity equation?

  • Question 9
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    In an orifice meter, coefficient of discharge is 0.58 and coefficient of vena contracta is 0.61, what is coefficient of velocity?

  • Question 10
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    In a flow over a flat plate, laminar boundary layer exists where velocity distribution is

    \(\frac{u}{U} = 0.5\frac{y}{\delta }\)

    Ratio of momentum thickness to boundary layer thickness is____ 

  • Question 11
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    Match the following:

    P

    Reynold’s model

    i.

    Cavitation

    Q

    Froude model

    ii.

    Capillary rise

    R

    Euler model

    iii.

    Pipe flow

    S

    Weber model

    iv.

    Flow over spillways

  • Question 12
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    A 1 : 6 scale model of a passenger car is tested in a wind tunnel. The prototype velocity is 60 km/hr. The model drag is 250 N. The air in the model and prototype can be assumed to have the same properties. Which of the following statements are true?

  • Question 13
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    A smooth flat plate of total length 2 m is in parallel flow stream of water. The water has uniform free stream velocity of 1 m/s parallel to plate. The critical Reynolds number for a flat plate is 500000. Assume density of water is 1000 kg/m3 and dynamic viscosity of water 1 centipoises. What is the maximum distance measured (in m, up to two decimal places) from leading edge of plate, up-to which the boundary layer formed to be laminar?

  • Question 14
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    In a small pipe of 0.5mm diameter and length 2m, water flows at 48cm3/minute. Viscosity is 1.92 centipoise at low temperature flow condition. Pressure drop in MPa is­­­­­­______

  • Question 15
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    The velocity potential function in a two-dimensional flow field is given by Ø = x2 – y2. Which of the following statements are true?

  • Question 16
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    For a two dimensional, unsteady flow of an incompressible fluid, the velocity field is given by V(2x2 t + y) î - 4xyt ĵ  Then which of the following statements are true?

  • Question 17
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    A Fluid flow is given by  

    \(V = \left( {2x + \frac{{{y^3}}}{3} - {x^2}y} \right)\hat i + \left( {x{y^2} - \frac{{{x^3}}}{3} - 2y} \right)\hat j\)

    Check whether the given flow is possible case of fluid flow or not. If possible, determine angular velocity about z-axis.

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