(Solved):   P. k R>>8 R 1. Two thin-walled disks in contact are initially at rest, and are at the ambi ...

 

P. k R>>8 R 1. Two thin-walled disks in contact are initially at rest, and are at the ambient temperature, T.. Suddenly, one of the disks begins rotating with a constant angular velocity a while the other disk remains stationary as illustrated in the figure. Both disks have the same dimensions and are made of the same material with constant thermal conductivity k. During rotation, the variable interface pressure is p(r), € the coefficient of dry friction at the interface is y, and the ambient temperature is T... The heat transfer coefficient is the same h on both sides, and heat transfer from the edges at r= R is negligible. Th Derive the governing differential equation for the unsteady temperature distributions in the disks and state the needed boundary/initial conditions, starting with a control volume analysis in which the necessary general/particular laws are applied to an appropriate, infinitesimal control volume. State all your assumptions and show all steps of your derivation. h, T.