Boundary Layers and Hydrodynamic Lift - Fluid Mechanics and Marine Hydrodynamics - Naval Architecture & Marine Engineering Previous Year Questions

The laminar and turbulent boundary layer thickness of a flat plate are given by \(\frac{5x}{Re_x^{1/2}}\) and \(\frac{0.37x}{Re_x^{1/5}}\), respectively, where x is the distance from the leading edge and \(Re_x\) is the Reynolds number at x-location.
The kinematic viscosity of the fluid is \(10^{-6} m^2/s\). A 100 m long plate is moving at a speed of 10 m/s. The boundary layer thickness at the rear end of the plate is ______ m (rounded off to two decimal places).

Water is flowing with a free stream velocity of 0.25 m/s around a submerged flat plate of 2 m length (in the direction of flow) and 1 m width. The local shear stress at a distance \( x \) from the leading edge of the plate is given by \[ \tau = \frac{0.332 \rho u^2}{\sqrt{Re_x}} \] where \( \rho = 1000 \text{ kg/m}^3 \) is the density of the water, \( u \) is the free stream velocity and \( Re_x \) is the Reynolds number at \( x \). Assume that the flow is laminar, and the kinematic viscosity of water is \( 10^{-6} \text{ m}^2/\text{s} \). The drag force (in Newton) acting on one side of the plate lies between

Air flows with a velocity of 2 m/s over a flat stationary surface parallel to its length of 0.5 m. Kinematic viscosity of air \(\nu\) is \(1.5 \times 10^{-5}\,\text{m}^2/\text{s}\).
Using Blasius solution, the boundary layer thickness at the trailing edge of the surface is __________ mm (rounded off to two decimal places).

Consider a steady, two-dimensional, laminar, incompressible flow of water over a horizontal flat plate of length \(L\) with Reynolds number, \(Re_L = 10^4\). The flat plate is aligned with the incoming free-stream flow. The \(x\)-axis is along the length of the plate while the \(y\)-axis is normal to the plate. The respective velocity components are \(u\) and \(v\).
Which of the following statements is/are TRUE?

Consider the flow of water over a smooth curved wall surface. It is given that the flow separates at some location R on the surface known as the separation point.
Pick the CORRECT option(s).