Consider the velocity boundary layer profile for flow over a flat plate to be of the form = 1 + 2 y. Applying appropriate boundary conditions, obtain an expression for the velocity profile in terms of the boundary layer thickness δ and the free stream velocity u [infinity] . Using the integral form of the boundary layer momentum equation, obtain expressions for the boundary layer thickness and the local friction coefficient, expressing your result in terms of the local Reynolds Number. Compare your results with those obtained from the exact solution and the integral solution (Section 7.2.1) and the integral solution with a cubic profile (Appendix G).

If you were designing a bumper for a car, would you prefer it to exhibit elastic or plastic deformation? why? consider the functions of a bumper in both a minor "fender-bender" and a major collision.

The mass flow rate of the fluid remains constant in all steady flow process. a)- true b)- false

Tom is having a problem with his washing machine. he notices that the machine vibrates violently at a frequency of 1500 rpm due to an unknown rotating unbalance. the machine is mounted on 4 springs each having a stiffness of 10 kn/m. tom wishes to add an undamped vibration absorber attached by a spring under the machine the machine working frequency ranges between 800 rpm to 2000 rpm and its total mass while loaded is assumed to be 80 kg a) what should be the mass of the absorber added to the machine so that the natural frequency falls outside the working range? b) after a first trial of an absorber using a mass of 35 kg, the amplitude of the oscillation was found to be 10 cm. what is the value of the rotating unbalance? c) using me-3.5 kg.m, find the optimal absorber (by minimizing its mass). what would be the amplitude of the oscillation of the absorber?