Fluid Mechanics...

Oil in a hydraulic cylinder is compressed from an initial volume of 2 m³ to 1.96 m³. If the pressure of oil in the cylinder changes from 40 MPa to 80 MPa during compression, the bulk modulus of elasticity of oil is

For a steady two-dimensional flow, the scalar components of the velocity field are V_x = -2x, v_y = 2y, v_z = 0.The corresponding components of acceleration a_x and a_y, respectively are;

If the dynamic viscosity of a fluid is 0.5 poise and specific gravity is 0.5, then kinematic viscosity of that fluid in stokes is

In a sample of water an increase of pressure by 18 MN/m² caused 1% reduction in volume. The bulk modulus of elasticity of this sample, in MN/m² is

The rise of liquid of specific weig ht ‘γ’ and surface tension ‘σ’ in a capillary tube of radius ‘r’ is given by

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.

Work done in blowing a soap bubble of diameter 12 cm will be. Assume the surface tension of soap solution = 0.04 N/m.

The intensity of pressure developed by surface tension of 0.075 N/m in a droplet of water of 0.075 mm diameter is

Two fluids 1 and 2 have mass densities of p1 and p2 respectively. If p1 > p2, which one of the following expressions will represent the relation between their specific volumes v1 and v2?

The velocity in a wind tunnel is being measured using a Pitot-static tube connected to a vertical U-tube manometer. The density of air is 1.2 kg/m³ and the deflection of the manometer is 24 mm. The manometer fluid is water. The velocity measured by the Pitot-static tube is

A centrifugal pump lifts water through a height h and delivers it at a velocity v_d. The loss of head through piping is h_f. The gross lift is

Select the correct option for the velocity profile

\(\frac{u}{V} = \frac{5}{2}\left( {\frac{y}{\delta }} \right) - \frac{1}{2}{\left( {\frac{y}{\delta }} \right)^2} + \frac{2}{3}{\left( {\frac{y}{\delta }} \right)^3}\)

The velocity field for a 2 D, steady and incompressible flow is represented as V = (5x) i – (5y) j. What would be the equation of stream line passing through point (1, 1).

Surface tension of water

Oil (kinematic viscosity, ν_oil = 1.0 × 10^-5 m²/s) flows through a pipe of 0.5 m diameter with a velocity of 10 m/s. Water (kinematic viscosity, v_w = 0.89 × 10^-6 m²/s) is flowing through a model pipe of diameter 20 mm. For satisfying the dynamic similarity, the velocity of water (in m/s) is _______.

The x and y - components of the velocity field for a two dimensional fluid flow is given by u = 3y – y² and v = 3x - x². What would be the rate of shear deformation and angular velocity of fluid flow in z direction respectively at point (2, 3)?

A Newtorian fluid fills the clearance between a shaft and a sleeve, when a force of 0.8 kN is applied to the shaft, parallel to the sleeve, the shaft attains a speed of 1.5 cm/s. If a force of 2.4 kN is applied instead the shaft would move with a speed of

Which of these statements are correct?

A smooth flat plate of length 5 m and width 2 m is moving with a velocity of 4 m/s in stationary air of density 1.25 kg/m³ and kinematic viscosity 1.5 × 10^-5 m²/s. The total drag force (N) on one side of the plate assuming that the boundary layer is turbulent from the very beginning is _________.

(Correct up to 2 decimals)

Assume for turbulent flow over a flat plate, local drag coefficient is:

If the relationship between the shear stress τ and the rate of shear strain du/dy is expressed as τ = k(du/dy)ⁿ then the fluid with a value of exponent n > 1 is known as

The dimensions of dynamic viscosity μ are

The capillary depression in mercury is on account of

Spherical shape of droplets of mercury is due to

Mixing of milk with water is due to

Which one of the following expresses the height of rise or fall of a liquid in a capillary tube?