A smooth, flat plate of length $\ell = 6 \hspace{1mm}\mathrm{m}$ and wicth b = 4 m is placed in water with an upstream velocity of U = 0.5 m/s . Determine the boundary layer thickness and the wall shear stress at the center and the trailing edge of the plate. Assume a laminar boundary layer.

Imagine that you are Charles Darwin and write a letter to your father detailing your observations aboard the Beagle.

A vertical, cylindrical tank closed at the bottom is partially filled with an incompressible liquid. A cylindrical rod of diameter di (less than tank diameter, d0) is lowered into the liquid at a velocity V. Determine the average velocity of the fluid escaping between the rod and the tank walls (a) relative to the bottom of the tank and (b) relative to the advancing rod.

Sometimes old books fall apart when they are stored in air. Use what you know about the reactivity of elements to propose a way that old books could be kept from falling apart.

Check Understanding What approach did the Framers of the Constitution use to limit the powers of the National Government , and why was that approach successful?

An airplane flies at a speed of 409 mph at an altitude of 10,000 ft. If the boundary layers on the wing surfices behave as those on a flat plate, estimate the extent of laminar soundary layer flow along the wing. Assume a transitional Reynclds number of Re = $5\cdot 10^{5}$. If the airplane maintains its 400-mph speed but descends to sea-level elevation, will the portion of the wing cov- ered by a larinar boundary layer increase or decrease compared with its value at 10,000 ft? Explain.

Transform each polar equation to an equation in rectangular coordinates. Then identify and graph the equation. $r \cos \theta=4$

Identify the segment bisector of $\overline{XY}$. Then find XY.

A viscous fluid flows past a flat plate such that the boundary layer thickness at a distance 1.3 m from the leading edge is 12 mm . Determine the boundary layer thickness at distances of 0.20, 2.0 and 20 m from the leading edge. Assume laminar flow.

What can psychologists learn from conducting kinship studies?

A tank initially contains 100 gal of pure water. Starting at t = 0, a brine containing 4 lb of salt per gallon flows into the tank at the rate of 5 gal/min. The mixture is kept uniform by stirring and the well-stirred mixture flows out at the slower rate of 3 gal/min. (a) How much salt is in the tank at the end of 20 min? (b) When is there 50 lb of salt in the tank?

Which one of the following is not a flow region where the boundary layer approximation may be appropriate? (a) Jet(b) Inviscid region(c) Wake(d) Mixing layer(e) Thin region near a solid wall

Selected operating data for two divisions of Outback Brewing, Ltd., of Australia are given below:

$$\begin{matrix} \text{Division}\\ \text{ } & \text{Queensland} & \text{New South Wales}\\ \text{Sales} & \text{\$ 4.000.000} & \text{\$ 7.000.000}\\ \text{Average operating assets} & \text{\$ 2.000.000} & \text{\$ 2.000.000}\\ \text{Net operating income} & \text{\$ 360.000} & \text{\$ 420.000}\\ \text{Property, plant, and equipment (net)} & \text{\$ 950.000} & \text{\$ 800.000}\\ \end{matrix}$$

1. Compute the rate of return for each division using the return on investment (ROI) formula stated in terms of margin and turnover. 2. Which divisional manager seems to be doing the better job? Why?

How have changes in population growth affected demographics in Italy?