Fluid Mechanics...

What flow rate in m³/s is needed using a 20:1 scale model of a dam over which 4 m³/s of water flows?

If δ₁ and δ₂ are the laminar boundary layer thicknesses over a flat plate at a point, distant x from the leading edge when the Reynolds number of the flow are 100 and 400, respectively, then the ratio δ₁/δ₂ will be

The velocity distribution in the boundary layer is given as \(\frac{u}{U}=\frac{y}{\delta }\). The dimensionless-profile shape factor is

A pipe of diameter 1.8 m is required to transport an oil of relative density 0.8 and viscosity 0.04 poise at the rate of 4 m3/s. Tests were conducted on a 20 cm diameter pipe using water. The discharge (litres/s) through the model is _____. (Correct up to 2 decimals)

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 _______.

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?