A composite wall having three layers of thickness 0.3m, 0.2 m and 0.1 m and with thermal conductivities 0.6, 0.4, 0.1 W/(m-K), respectively, is having surface area 1 m². If the inner and outer surface temperatures of the composite wall are 1840 K and 340 K, respectively, what is the rate of heat transfer?
Two spaceships are moving towards each other at a speed of 0.5c relative to the galaxy. Spaceship A sends an emergency signal to spaceship B with a frequency f = 20GHz.
When exploring a small planet with a radius of 770 km and a mass of 8.48 x 10^30 kg a small spacecraft with a mass of 8170 kg is placed in an elliptical orbit around it.
The Cessna Cardinal, a single-engine light airplane, has a wing with an area of 16.2 m2 and an aspect ratio of 7.31. Assume that the span efficiency factor is 0.62.
Investigate the principles of aerodynamics in mechanical engineering, covering topics such as fluid flow around objects, lift and drag forces, and boundary layer phenomena.
Consider an airplane in an accelerated climb. At a given instant in this climb, the specific excess power is 120 ft/s
A smooth, steady stream of liquid (density, rho;) emanates downward from a circular faucet (to the atmosphere). The exit area of the faucet is A1. The volumetric flow rate is Q. Find the weight of the given section of the fluid stream.
Consider a length of pipe bent into a U-shape. The inside diameter of the pipe is \(0.5\;m\). Air enters one leg of the pipe at a mean velocity of \(100\; m/s\) and exits the other leg at the same magnitude of velocity, but moving in the opposite direction. Calculate the magnitude and direction of the force exerted on the pipe by the airflow.
Consider a flow field in polar coordinates, where the stream function is given as \(ψ = ψ(r, θ)\). Starting with the concept of mass flow between two streamlines, derive Equations \(\rho V_{r}=\frac{1}{r}\frac{\partial \bar{\psi }}{\partial \theta}\) and \(\rho V_{\theta}=-\frac{\partial\bar{\psi} }{\partial r}\).
Calculate the stream function and velocity potential.Using your results, show that lines of constant \( \phi\) are perpendicular to lines of constant \(\psi\).
