ISRO Scientist or Engineer Mechanical 2008

Which of the following pairs of velocity components u and v satisfy the continuity equation for a two dimensional flow of an incompressible fluid?

The flow of a fluid in a pipe takes place from

An aeroplane is flying at an height of 14 km where temperature is $$-45^\circ C$$. The speed of the plane is corresponding to M = 2. Find the speed of the plane if R = 287 J/kg K and $$\gamma = 1.4$$.

Pipe 1, branches to three pipes as shown in the given figure. The areas and corresponding velocities are as given in the following table The value of $$V_2$$ in cm per second will be

The pressure difference measured by a mercury oil differential manometer on the two sides of the orifice meter gives a reading of 50 cm of mercury. Determine the differential pressure head in orifice. Take the specific gravity ofoil as 0.9.

The transition Reynolds numberfor flow over flat plate is $$5 \times 10^5$$. What is the distance from the leading edge at which transition will occur for flow of water with a uniform velocity of 1m/s?(For water, the kinematic viscosity, $$v = 0.858 \times 10^{-6} m^2/s$$)

Pipes of lengths $$l_1, l_2$$ etc and diameter $$d_1, d_2$$, etc are connectedin series. A single pipe of length $$l_1 + l_2 + l_3 + ....$$ having same pressure loss as all pipes in series will have diameter equal to

Let x have the density function $$f(x) = \begin{cases}\frac{3}{4}(1 - x^2) & if -1 \leq x \leq 1\\0 & otherwise \end{cases}$$. Then the probability $$p\left(\frac{-1}{2} \leq x \leq \frac{1}{2}\right)$$ is

If thermal conductivity of a material varies as $$K_o(1 + \alpha T)$$, temperature at the center of a 10 cm thick wall of material will be

What is the net radiant interchange per square meter for two very large plates at temperatures 800 K and 500 K respectively? (The emissivity of the hot and cold plates are 0.8 and 0.6 respectively. Stefan Boltzmann constant is $$5.67^* 10^{-8} W/m^2 K^4$$).