Fluid Mechanics...

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 ______

The velocity gradient of fluid is 1000/s and viscosity is 1.2×10^-4 Ns/m². What is the shear stress(Pa)?

At two locations from the leading edge of a flat plate, Reynold’s number was 121 and 225. If δ₁ and δ₂ are the laminar boundary layer thickness at the two locations, the ratio δ₁/δ₂ is _______.

Oil having viscosity of 0.2 Ns/m² and density 800 kg/m³ is flowing through a pipeline of 50 mm diameter with maximum velocity of 4 m/s. The Darcy friction factor for this flow is______

Weight density (kN/m³) of one litre of petrol of specific gravity 0.7 is _________. 

An Orifice-meter with orifice diameter 15 cm is inserted in a pipe of 30 cm diameter. The pressure gauges fitted upstream and downstream of the orifice-meter gives readings of 14.715 N/cm² and 9.81 N/cm² respectively. The rate of flow of water (liters/s) through the pipe is _______. (Correct up to 2 decimals)

Take coefficient of discharge = 0.6

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° 

The velocity distribution in a boundary layer is given by \(\frac{u}{U}=\frac{y}{\delta }\), the shape factor for the given boundary layer is_______.

A pipe carries an oil of specific gravity 0.8 with pressure 19.62 kPa. The pipe is 3.5 m above datum level. What is piezometric head in meters?

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 ____

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

A turbine working under head of 40m was developing power of 200kW. If head is reduce to 20m with same geometric parameter of turbine. What is the decrease (in %) in power developed?

In fully developed pipe flow of 600 mm diameter, the wall shear stress is 50 Pa. The Darcy’s friction factor f is 0.05. The flow rate through the pipe for oil of SG = 0.7 is _____ m³/s.

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.

For a 2-D potential flow, the velocity potential function is given as ϕ = 4x(3y - 4). The magnitude of stream function (ψ) at point (2, 3) is __________.

Find the power loss (in kW) when a fluid of dynamic viscosity = 1.2 Pa.s and ρ = 1150 kg/m³ flows at a velocity of 8 m/s in a pipe of diameter 15 cm and a length of 25 m ________