Fluid Mechanics...

The volume of a liquid is reduced by 1.2% by increasing the pressire from 0.40 MPa to 12.3 MPa. Estimate the modulus of elasticity of the liquid.

A jet of water issues from a nozzle with a velocity of 20 m/s and it impinges normally on a flat plate moving away from it at 10 m/s. If the cross-sectional area of the jet is 0.02 m² and the density of water is taken as 1000 kg/m³, then the force developed on the plate is

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 pipe of 100 m length and 200 mm diameter and friction factor 0.015 is to be replaced by a 400 mm diameter pipe of friction factor 0.012 to carry the same flow. For the head loss of the same magnitude which of the following statements are true?

A power house has 5 impulse turbines. Each turbine has two runners. Each runner is installed with 4 nozzles. Total discharge is 40 m³/s.  Assuming coefficient of velocity as 0.985 and head as 250 m, which of the following statements are true?

Select the correct option for the velocity profile

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

If the outlet angle of the bucket for Pelton wheel is 60°, the maximum efficiency in the case of Pelton wheel neglecting friction in the bucket is:

 A cubic wooden block of edge 100 mm and weight 1 kN is sliding down on an inclined plane of inclination 30° with the horizontal. A Newtonian fluid with the viscosity 0.2 Ns/m² is layered on the inclined plane. If the thickness of the layer is 0.02 mm, then the terminal velocity of the block in m/s.

In a hydraulic press, the ram has a diameter 40 cm and plunger has a diameter of 5 cm. Initially the plunger and ram are at a height of 1m from the base and the base can withstand a maximum pressure of 260 kPa. Consider no frictional losses and g = 10 m/s²

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).

A fluid near a solid wall has an approximated velocity profile given by \(u\left( y \right) = \;{U_\infty } \times \sin \left( {\frac{{\pi y}}{{2\delta }}} \right),\;0 \le y \le \delta \) . The walls shear stress is given by:

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: