Fluid Mechanics...

In a circular tube of diameter 100 mm and length 13 m with laminar flow, the friction factor is estimated to be 0.05. Calculate the Reynolds number?

In a laminar boundary layer over a flat plate, the growth of the boundary layer with distance x form leading ledge given by δ/x is proportional to Reynolds number (Re_x) as

Velocity profile in boundary layer is given as:

\(\frac{u}{U}=-2\left( \frac{y}{\delta } \right)+{{\left( \frac{y}{\delta } \right)}^{2}}\)

Oil of specific gravity 1.4 is flowing in a horizontal pipe of diameter 15 cm and length 1.5 km. If the maximum shear stress at the pipe wall is not to exceed 200 N/m², then the average velocity in the pipe flow will be _______ m/s. Assume viscosity of oil to be 0.8 Pa-s and velocity of the oil at any point in the fluid to be constant.

In a flow over a flat plate, laminar boundary layer exists where velocity distribution is

\(\frac{u}{U} = 0.5\frac{y}{\delta }\)

Turbulent flow occurs in a pipe of diameter 130 mm which carries water. The velocities at the pipe centre and 35 mm from centre are 2.5 m/s and 1.5 m/s respectively. The shear stress at the wall of the pipe is

In a small pipe of 0.5mm diameter and length 2m, water flows at 48cm³/minute. Viscosity is 1.92 centipoise at low temperature flow condition. Pressure drop in MPa is­­­­­­______

Calculate the friction drag on a plate (length 0.8 m and width 0.3 m) upto the point at which the boundary layer flow changes from laminar to turbulent. The water is flowing at a rate of 3 m/s. (μ = 9 × 10^-4 Pa-s ; critical Reynolds number Re_c = 5 × 10⁵)