By making use of the analogies between the various transport models for molecular transport of conserved quantities, describe how you would set up an experiment to solve each of the following problems by making electrical measurements of voltage and current (e.g., describe the design of the experiment, how and where you would measure current and/or voltage, and how the measurements would be related to the desired quantity).

(a) Determine the rate of heat transfer from a long cylinder to a fluid flowing normal to the cylinder axis, if the surface temperature of the cylinder is $T_{0}$ and the fluid temperature far away from the cylinder is $T_{1}$. Determine also the temperature distribution within the fluid and the cylinder.

(b) Determine the rate at which a (spherical) mothball evaporates when it is immersed in stagnant air, and also the concentration distribution of the evaporating compound in the air.

(c) Determine the local stress as a function of position on the surface of a wedge-shaped body immersed in a fluid that is flowing slowly parallel to the surface. Determine also the local velocity distribution in the fluid as a function of position.