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;

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.

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).

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 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: