Examine the sensitivity of the results of Problem 1 to changes in the transport parameters by \(\pm 20 \%\) on either side and tabulate the results for the predicted values of the condensation rate, heat transfer rate, and interface temperature. Which of the three transport parameters is the most influential?

Problem 1:

Water is contained between two vertical plates with a gap width of \(2 \mathrm{~cm}\). The temperatures of the plates are 25 and \(75^{\circ} \mathrm{C}\). Find the velocity profile and plot the velocity profile as a function of distance. Also find the maximum velocity in the system.

Use the following physical properties, the values of which are evaluated at \(50{ }^{\circ} \mathrm{C}\), the average temperature in the system: density \(ho=988 \mathrm{~kg} / \mathrm{m}^{3}\), viscosity \(\mu=565 \times\) \(10^{-6} \mathrm{~Pa} \cdot \mathrm{s}\), and coefficient of volume expansion \(4.54 \times 10^{-4} \mathrm{~K}^{-1}\).